Asymptotic stability and synchronization for nonlinear distributed-order system with uncertain parameters
The asymptotic stability and synchronization for nonlinear distributed-order system with uncertain parameters is investigated in this paper. To this end, a new lemma for the distributed-order system is proposed to certify the asymptotic stability. Several sufficient conditions are presented to acqui...
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| Published in | Neurocomputing (Amsterdam) Vol. 404; pp. 276 - 282 |
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| Main Authors | , , , , , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier B.V
03.09.2020
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0925-2312 1872-8286 |
| DOI | 10.1016/j.neucom.2020.05.011 |
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| Abstract | The asymptotic stability and synchronization for nonlinear distributed-order system with uncertain parameters is investigated in this paper. To this end, a new lemma for the distributed-order system is proposed to certify the asymptotic stability. Several sufficient conditions are presented to acquire the asymptotic stability and synchronization for such distributed-order models. In addition, by designing two numerical examples, the feasibility and effectiveness of theoretical results are verified. |
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| AbstractList | The asymptotic stability and synchronization for nonlinear distributed-order system with uncertain parameters is investigated in this paper. To this end, a new lemma for the distributed-order system is proposed to certify the asymptotic stability. Several sufficient conditions are presented to acquire the asymptotic stability and synchronization for such distributed-order models. In addition, by designing two numerical examples, the feasibility and effectiveness of theoretical results are verified. |
| Author | Alsaadi, Fuad E. Yang, Xujun Zhao, Zhenjiang Liu, Xiao Liu, Yurong Song, Qiankun |
| Author_xml | – sequence: 1 givenname: Xiao surname: Liu fullname: Liu, Xiao organization: Department of Mathematics, Chongqing Jiaotong University, Chongqing 400074, China – sequence: 2 givenname: Qiankun surname: Song fullname: Song, Qiankun email: qiankunsong@163.com organization: Department of Mathematics, Chongqing Jiaotong University, Chongqing 400074, China – sequence: 3 givenname: Xujun surname: Yang fullname: Yang, Xujun organization: Department of Mathematics, Chongqing Jiaotong University, Chongqing 400074, China – sequence: 4 givenname: Zhenjiang surname: Zhao fullname: Zhao, Zhenjiang organization: Department of Mathematics, Huzhou University, Huzhou 313000, China – sequence: 5 givenname: Yurong surname: Liu fullname: Liu, Yurong organization: Department of Mathematics, Yangzhou University, Yangzhou 225002, China – sequence: 6 givenname: Fuad E. surname: Alsaadi fullname: Alsaadi, Fuad E. organization: Communication Systems and Networks (CSN) Research Group, Faculty of Engineering, King Abdulaziz University, Jeddah 21589, Saudi Arabia |
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| Cites_doi | 10.1016/j.jfranklin.2011.04.012 10.1016/j.apm.2015.09.035 10.1109/TCYB.2020.2969377 10.1088/1751-8113/42/31/315203 10.1023/A:1016592219341 10.1016/j.automatica.2018.11.010 10.1016/j.inffus.2019.08.013 10.1016/j.cnsns.2009.05.004 10.1109/TSMC.2019.2958529 10.1016/j.neucom.2014.11.023 10.1007/BF02826009 10.1109/TCYB.2019.2932460 10.1016/j.neunet.2013.11.016 10.1016/j.cam.2008.07.018 10.1016/j.cnsns.2010.05.027 10.1016/j.automatica.2018.09.028 10.1109/TSMC.2019.2952539 10.1016/j.cnsns.2014.05.013 10.1109/TCYB.2018.2863664 10.1016/j.automatica.2019.05.056 10.1016/j.automatica.2019.108714 10.1016/j.cnsns.2017.01.020 10.1002/rnc.4535 10.1109/TAC.2019.2910167 10.1080/00207721.2017.1412535 10.1109/TCYB.2017.2740309 10.1016/j.neucom.2019.04.060 10.1109/9.151120 10.1109/TNNLS.2019.2946290 10.1088/0305-4470/38/30/006 10.1109/TNNLS.2018.2854841 10.1109/TNNLS.2019.2952249 10.1016/j.neucom.2019.12.031 10.1016/j.chaos.2009.03.017 10.1109/TNNLS.2019.2927595 10.1109/TAC.2020.2968975 10.1109/TAC.2016.2611559 |
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| References | Aminikhah, Sheikhani, Rezazadeh (b0160) 2015; 77 D. Zhao, Z. Wang, Y. Chen, G. Wei, Proportional-integral observer design for multi-delayed sensor-saturated recurrent neural networks: a dynamic event-triggered protocol, IEEE Trans. Cybern. Chen, Fei, Li (b0135) 2017; 62 Fernandez-Anaya, Nava-Antonio, Jamous-Galante, Munoz-Vega, Hernandez-Martinez (b0150) 2017; 48 Yuan, Wang, Yu, Guo, Yang (b0075) 2019; 107 B. Shen, Z. Wang, D. Wang, Q. Li, State-saturated recursive filter design for stochastic time-varying nonlinear complex networks under deception attacks, IEEE Trans. Neural Netw. Learn. Syst. Meral, Royston, Magin (b0020) 2010; 15 Xie, Fu, Souza (b0195) 1992; 37 L. Ma, Z. Wang, C. Cai, F.E. Alsaadi, A dynamic event-triggered approach to H. Aminikhah, A. Sheikhani, H. Rezazadeh, Stability analysis of distributed order fractional Chen system, Scientific World J. 2013 (2013), Article ID 645080. Wang, Wang, Han, Wei (b0050) 2018; 48 Y. Chen, Z. Wang, L. Wang, W. Sheng, Mixed B. Shen, Z. Wang, D. Wang, H. Liu, Distributed state-saturated recursive filtering over sensor networks under Round-Robin protocol, IEEE Trans. Cybern. Ma, Wang, Liu, Alsaadi (b0140) 2019; 29 Liu, Wang, Han, Jiang (b0090) 2020; 113 Yang, Song, Liu, Zhao (b0120) 2015; 152 Caputo (b0025) 1995; 41 Baleanu, Guvenc, Machado (b0015) 2010 Duong, Kwok, Lee (b0030) 2016; 40 Jiao, Chen, Podlubny (b0185) 2012 Chen, Zeng, Jiang (b0115) 2014; 51 Zou, Wang, Han, Zhou (b0070) 2019; 64 M. Wang, Z. Wang, Y. Che, W. Sheng, Event-based adaptive neural tracking control for discrete-time stochastic nonlinear systems: a triggering threshold compensation strategy, IEEE Trans. Neural Netw. Learn. Syst. A. Kochubei, Distributed order derivatives and relaxation patterns, J. Phys. A 42(31) (2009), Article ID 315203. Diethelm, Ford (b0040) 2009; 225 Liao, Peng, Li, Wang (b0170) 2011; 348 Xing, Lu (b0175) 2009; 42 Diethelm, Ford, Freed (b0200) 2002; 29 Podlubny (b0180) 1999 Atanackovic, Budincevic, Pilipovic (b0035) 2005; 38 Taghavian, Tavazoei (b0155) 2018; 49 Uchaikin (b0010) 2013 Machado, Kiryakova, Mainardi (b0005) 2011; 16 D. Zhao, Z. Wang, D.W.C. Ho, G. Wei, Observer-based PID security control for discrete time-delay systems under cyber-attacks, IEEE Transactions on Systems, Man, and Cybernetics-Systems, DOI: 10.1109/TSMC.2019.2952539. state estimation for discrete-time switched complex networks with random coupling strengths through redundant channels, IEEE Trans. Neural Netw. Learn. Syst. Ahn, Chen, Podlubny (b0125) 2007; 187 Chen, Wang, Shen, Dong (b0130) 2019; 30 control for discrete-time singularly perturbed systems with time-delays and sensor saturations, IEEE Trans. Syst. Man Cybern.-Syst. Shen, Wang, Shen, Alsaadi, Alsaadi (b0065) 2020; 55 . Wang, Wang, Wei, Alsaadi (b0055) 2019; 49 Xi, Dong (b0045) 2019; 357 Hu, Lu, Zhang, Zhao (b0110) 2015; 20 Shen, Wang, Wang, Luo, Pu, Peng (b0215) 2019; 100 Ma, Wang, Han, Liu (b0145) 2018; 98 Wu, Gao, Li (b0060) 2020; 384 L. Zou, Z. Wang, J. Hu, D.H. Zhou, Moving horizon estimation with unknown inputs under dynamic quantization effects, IEEE Trans. Autom. Control. Hu (10.1016/j.neucom.2020.05.011_b0110) 2015; 20 Liao (10.1016/j.neucom.2020.05.011_b0170) 2011; 348 Diethelm (10.1016/j.neucom.2020.05.011_b0200) 2002; 29 10.1016/j.neucom.2020.05.011_b0210 Xie (10.1016/j.neucom.2020.05.011_b0195) 1992; 37 Ma (10.1016/j.neucom.2020.05.011_b0140) 2019; 29 Liu (10.1016/j.neucom.2020.05.011_b0090) 2020; 113 Xing (10.1016/j.neucom.2020.05.011_b0175) 2009; 42 Meral (10.1016/j.neucom.2020.05.011_b0020) 2010; 15 Diethelm (10.1016/j.neucom.2020.05.011_b0040) 2009; 225 Duong (10.1016/j.neucom.2020.05.011_b0030) 2016; 40 Uchaikin (10.1016/j.neucom.2020.05.011_b0010) 2013 10.1016/j.neucom.2020.05.011_b0095 Fernandez-Anaya (10.1016/j.neucom.2020.05.011_b0150) 2017; 48 Yang (10.1016/j.neucom.2020.05.011_b0120) 2015; 152 Taghavian (10.1016/j.neucom.2020.05.011_b0155) 2018; 49 Shen (10.1016/j.neucom.2020.05.011_b0215) 2019; 100 Aminikhah (10.1016/j.neucom.2020.05.011_b0160) 2015; 77 10.1016/j.neucom.2020.05.011_b0190 Wang (10.1016/j.neucom.2020.05.011_b0050) 2018; 48 Atanackovic (10.1016/j.neucom.2020.05.011_b0035) 2005; 38 Podlubny (10.1016/j.neucom.2020.05.011_b0180) 1999 10.1016/j.neucom.2020.05.011_b0105 10.1016/j.neucom.2020.05.011_b0165 10.1016/j.neucom.2020.05.011_b0220 Wang (10.1016/j.neucom.2020.05.011_b0055) 2019; 49 Chen (10.1016/j.neucom.2020.05.011_b0135) 2017; 62 10.1016/j.neucom.2020.05.011_b0100 Caputo (10.1016/j.neucom.2020.05.011_b0025) 1995; 41 Wu (10.1016/j.neucom.2020.05.011_b0060) 2020; 384 Shen (10.1016/j.neucom.2020.05.011_b0065) 2020; 55 Ahn (10.1016/j.neucom.2020.05.011_b0125) 2007; 187 Chen (10.1016/j.neucom.2020.05.011_b0130) 2019; 30 Ma (10.1016/j.neucom.2020.05.011_b0145) 2018; 98 10.1016/j.neucom.2020.05.011_b0205 Yuan (10.1016/j.neucom.2020.05.011_b0075) 2019; 107 Jiao (10.1016/j.neucom.2020.05.011_b0185) 2012 Baleanu (10.1016/j.neucom.2020.05.011_b0015) 2010 Zou (10.1016/j.neucom.2020.05.011_b0070) 2019; 64 Chen (10.1016/j.neucom.2020.05.011_b0115) 2014; 51 Xi (10.1016/j.neucom.2020.05.011_b0045) 2019; 357 10.1016/j.neucom.2020.05.011_b0085 10.1016/j.neucom.2020.05.011_b0080 Machado (10.1016/j.neucom.2020.05.011_b0005) 2011; 16 |
| References_xml | – volume: 41 start-page: 73 year: 1995 end-page: 84 ident: b0025 article-title: Mean fractional-order-derivatives differential equations and filters publication-title: Ann. Università di Ferrara – volume: 48 start-page: 541 year: 2017 end-page: 549 ident: b0150 article-title: Asymptotic stability of distributed order nonlinear dynamical systems publication-title: Commun. Nonlinear Sci. Numer. Simul. – volume: 48 start-page: 2437 year: 2018 end-page: 2448 ident: b0050 article-title: Synchronization control for a class of discrete-time dynamical networks with packet dropouts: a coding-decoding-based approach publication-title: IEEE Trans. Cybern. – volume: 49 start-page: 4335 year: 2019 end-page: 4345 ident: b0055 article-title: Observer-based consensus control for discrete-time multiagent systems with coding-decoding communication protocol publication-title: IEEE Trans. Cybern. – reference: B. Shen, Z. Wang, D. Wang, H. Liu, Distributed state-saturated recursive filtering over sensor networks under Round-Robin protocol, IEEE Trans. Cybern. – volume: 29 start-page: 2941 year: 2019 end-page: 2959 ident: b0140 article-title: Distributed filtering for nonlinear time-delay systems over sensor networks subject to multiplicative link noises and switching topology publication-title: Int. J. Robust Nonlinear Control – reference: L. Ma, Z. Wang, C. Cai, F.E. Alsaadi, A dynamic event-triggered approach to – reference: M. Wang, Z. Wang, Y. Che, W. Sheng, Event-based adaptive neural tracking control for discrete-time stochastic nonlinear systems: a triggering threshold compensation strategy, IEEE Trans. Neural Netw. Learn. Syst. – volume: 62 start-page: 3455 year: 2017 end-page: 3460 ident: b0135 article-title: Robust stabilization for uncertain saturated time-delay systems: a distributed-delay-dependent polytopic approach publication-title: IEEE Trans. Autom. Control – year: 2010 ident: b0015 article-title: New Trends in Nanotechnology and Fractional Calculus Applications – volume: 98 start-page: 358 year: 2018 end-page: 362 ident: b0145 article-title: Dissipative control for nonlinear Markovian jump systems with actuator failures and mixed time-delays publication-title: Automatica – volume: 40 start-page: 1929 year: 2016 end-page: 1940 ident: b0030 article-title: Deterministic analysis of distributed order systems using operational matrix publication-title: Appl. Math. Model. – volume: 20 start-page: 905 year: 2015 end-page: 913 ident: b0110 article-title: Lyapunov stability theorem about fractional system without and with delay publication-title: Commun. Nonlinear Sci. Numer. Simul. – reference: D. Zhao, Z. Wang, Y. Chen, G. Wei, Proportional-integral observer design for multi-delayed sensor-saturated recurrent neural networks: a dynamic event-triggered protocol, IEEE Trans. Cybern. – volume: 77 start-page: 207 year: 2015 end-page: 218 ident: b0160 article-title: Stability analysis of linear distributed order system with multiple time delays publication-title: Univ. Politeh. Bucharest Scientific Bull.-Ser.A – volume: 29 start-page: 3 year: 2002 end-page: 22 ident: b0200 article-title: A predictor-corrector approach for the numerical solution of fractional differential equations publication-title: Nonlinear Dyn. – reference: control for discrete-time singularly perturbed systems with time-delays and sensor saturations, IEEE Trans. Syst. Man Cybern.-Syst. – volume: 113 year: 2020 ident: b0090 article-title: Quadratic estimation for discrete time-varying non-Gaussian systems with multiplicative noises and quantization effects publication-title: Automatica – volume: 42 start-page: 1163 year: 2009 end-page: 1169 ident: b0175 article-title: Robust stability and stabilization of fractional-order linear systems with nonlinear uncertain parameters: an LMI approach publication-title: Chaos Solitons Fractals – reference: B. Shen, Z. Wang, D. Wang, Q. Li, State-saturated recursive filter design for stochastic time-varying nonlinear complex networks under deception attacks, IEEE Trans. Neural Netw. Learn. Syst. – volume: 37 start-page: 1253 year: 1992 end-page: 1256 ident: b0195 article-title: control and quadratic stabilization of systems with parameter uncertainty via output feedback publication-title: IEEE Trans. Autom. Control – reference: L. Zou, Z. Wang, J. Hu, D.H. Zhou, Moving horizon estimation with unknown inputs under dynamic quantization effects, IEEE Trans. Autom. Control. – volume: 348 start-page: 1101 year: 2011 end-page: 1113 ident: b0170 article-title: Robust stability analysis for a class of fractional order systems with uncertain parameters publication-title: J. Franklin Inst. – volume: 152 start-page: 19 year: 2015 end-page: 26 ident: b0120 article-title: Finite-time stability analysis of fractional-order neural networks with delay publication-title: Neurocomputing – reference: D. Zhao, Z. Wang, D.W.C. Ho, G. Wei, Observer-based PID security control for discrete time-delay systems under cyber-attacks, IEEE Transactions on Systems, Man, and Cybernetics-Systems, DOI: 10.1109/TSMC.2019.2952539. – volume: 225 start-page: 96 year: 2009 end-page: 104 ident: b0040 article-title: Numerical analysis for distributed-order differential equations publication-title: J. Comput. Appl. Math. – year: 1999 ident: b0180 article-title: Fractional Differential Equations – volume: 357 start-page: 108 year: 2019 end-page: 115 ident: b0045 article-title: Adaptive neural network-based control of uncertain nonlinear systems with time-varying full-state constraints and input constraint publication-title: Neurocomputing – volume: 64 start-page: 5191 year: 2019 end-page: 5198 ident: b0070 article-title: Moving horizon estimation for networked time-delay systems under Round-Robin protocol publication-title: IEEE Trans. Autom. Control – volume: 187 start-page: 27 year: 2007 end-page: 34 ident: b0125 article-title: Robust stability test of a class of linear time-invariant interval fractional-order system using Lyapunov inequality publication-title: Appl. Math. Comput. – volume: 30 start-page: 1000 year: 2019 end-page: 1012 ident: b0130 article-title: Exponential synchronization for delayed dynamical networks via intermittent control: dealing with actuator saturations publication-title: IEEE Trans. Neural Netw. Learn. Syst. – volume: 38 start-page: 6703 year: 2005 end-page: 6715 ident: b0035 article-title: On a fractional distributed-order oscillator publication-title: J. Phys. A: Math. Gen. – volume: 107 start-page: 353 year: 2019 end-page: 361 ident: b0075 article-title: Active disturbance rejection control for a pneumatic motion platform subject to actuator saturation: an extended state observer approach publication-title: Automatica – reference: . – volume: 49 start-page: 523 year: 2018 end-page: 536 ident: b0155 article-title: Stability analysis of distributed-order nonlinear dynamic systems publication-title: Int. J. Syst. Sci. – year: 2012 ident: b0185 article-title: Distributed-order Dynamic Systems – reference: state estimation for discrete-time switched complex networks with random coupling strengths through redundant channels, IEEE Trans. Neural Netw. Learn. Syst. – volume: 16 start-page: 1140 year: 2011 end-page: 1153 ident: b0005 article-title: Recent history of fractional calculus publication-title: Commun. Nonlinear Sci. Numer. Simul. – volume: 15 start-page: 939 year: 2010 end-page: 945 ident: b0020 article-title: Fractional calculus in viscoelasticity: an experimental study publication-title: Commun. Nonlinear Sci. Numer. Simul. – volume: 384 start-page: 325 year: 2020 end-page: 334 ident: b0060 article-title: Finite-time synchronization of switched neural networks with state-dependent switching via intermittent control publication-title: Neurocomputing – volume: 55 start-page: 281 year: 2020 end-page: 291 ident: b0065 article-title: Fusion estimation for multi-rate linear repetitive processes under weighted try-once-discard protocol publication-title: Inf. Fusion – year: 2013 ident: b0010 article-title: Fractional Derivatives for Physicists and Engineers – volume: 51 start-page: 1 year: 2014 end-page: 8 ident: b0115 article-title: Global Mittag-Leffler stability and synchronization of memristor-based fractional-order neural networks publication-title: Neural Netw. – volume: 100 start-page: 144 year: 2019 end-page: 152 ident: b0215 article-title: Finite-horizon filtering for a class of nonlinear time-delayed systems with an energy harvesting sensor publication-title: Automatica – reference: H. Aminikhah, A. Sheikhani, H. Rezazadeh, Stability analysis of distributed order fractional Chen system, Scientific World J. 2013 (2013), Article ID 645080. – reference: Y. Chen, Z. Wang, L. Wang, W. Sheng, Mixed – reference: A. Kochubei, Distributed order derivatives and relaxation patterns, J. Phys. A 42(31) (2009), Article ID 315203. – volume: 348 start-page: 1101 issue: 6 year: 2011 ident: 10.1016/j.neucom.2020.05.011_b0170 article-title: Robust stability analysis for a class of fractional order systems with uncertain parameters publication-title: J. Franklin Inst. doi: 10.1016/j.jfranklin.2011.04.012 – volume: 40 start-page: 1929 issue: 3 year: 2016 ident: 10.1016/j.neucom.2020.05.011_b0030 article-title: Deterministic analysis of distributed order systems using operational matrix publication-title: Appl. Math. Model. doi: 10.1016/j.apm.2015.09.035 – ident: 10.1016/j.neucom.2020.05.011_b0100 doi: 10.1109/TCYB.2020.2969377 – year: 2010 ident: 10.1016/j.neucom.2020.05.011_b0015 – ident: 10.1016/j.neucom.2020.05.011_b0190 doi: 10.1088/1751-8113/42/31/315203 – volume: 29 start-page: 3 issue: 1–4 year: 2002 ident: 10.1016/j.neucom.2020.05.011_b0200 article-title: A predictor-corrector approach for the numerical solution of fractional differential equations publication-title: Nonlinear Dyn. doi: 10.1023/A:1016592219341 – volume: 100 start-page: 144 year: 2019 ident: 10.1016/j.neucom.2020.05.011_b0215 article-title: Finite-horizon filtering for a class of nonlinear time-delayed systems with an energy harvesting sensor publication-title: Automatica doi: 10.1016/j.automatica.2018.11.010 – volume: 55 start-page: 281 year: 2020 ident: 10.1016/j.neucom.2020.05.011_b0065 article-title: Fusion estimation for multi-rate linear repetitive processes under weighted try-once-discard protocol publication-title: Inf. Fusion doi: 10.1016/j.inffus.2019.08.013 – volume: 15 start-page: 939 issue: 4 year: 2010 ident: 10.1016/j.neucom.2020.05.011_b0020 article-title: Fractional calculus in viscoelasticity: an experimental study publication-title: Commun. Nonlinear Sci. Numer. Simul. doi: 10.1016/j.cnsns.2009.05.004 – ident: 10.1016/j.neucom.2020.05.011_b0220 doi: 10.1109/TSMC.2019.2958529 – volume: 152 start-page: 19 year: 2015 ident: 10.1016/j.neucom.2020.05.011_b0120 article-title: Finite-time stability analysis of fractional-order neural networks with delay publication-title: Neurocomputing doi: 10.1016/j.neucom.2014.11.023 – year: 2012 ident: 10.1016/j.neucom.2020.05.011_b0185 – volume: 41 start-page: 73 year: 1995 ident: 10.1016/j.neucom.2020.05.011_b0025 article-title: Mean fractional-order-derivatives differential equations and filters publication-title: Ann. Università di Ferrara doi: 10.1007/BF02826009 – ident: 10.1016/j.neucom.2020.05.011_b0095 doi: 10.1109/TCYB.2019.2932460 – volume: 51 start-page: 1 year: 2014 ident: 10.1016/j.neucom.2020.05.011_b0115 article-title: Global Mittag-Leffler stability and synchronization of memristor-based fractional-order neural networks publication-title: Neural Netw. doi: 10.1016/j.neunet.2013.11.016 – volume: 225 start-page: 96 issue: 1 year: 2009 ident: 10.1016/j.neucom.2020.05.011_b0040 article-title: Numerical analysis for distributed-order differential equations publication-title: J. Comput. Appl. Math. doi: 10.1016/j.cam.2008.07.018 – volume: 77 start-page: 207 issue: 2 year: 2015 ident: 10.1016/j.neucom.2020.05.011_b0160 article-title: Stability analysis of linear distributed order system with multiple time delays publication-title: Univ. Politeh. Bucharest Scientific Bull.-Ser.A – volume: 16 start-page: 1140 issue: 3 year: 2011 ident: 10.1016/j.neucom.2020.05.011_b0005 article-title: Recent history of fractional calculus publication-title: Commun. Nonlinear Sci. Numer. Simul. doi: 10.1016/j.cnsns.2010.05.027 – volume: 98 start-page: 358 year: 2018 ident: 10.1016/j.neucom.2020.05.011_b0145 article-title: Dissipative control for nonlinear Markovian jump systems with actuator failures and mixed time-delays publication-title: Automatica doi: 10.1016/j.automatica.2018.09.028 – ident: 10.1016/j.neucom.2020.05.011_b0210 doi: 10.1109/TSMC.2019.2952539 – volume: 20 start-page: 905 issue: 3 year: 2015 ident: 10.1016/j.neucom.2020.05.011_b0110 article-title: Lyapunov stability theorem about fractional system without and with delay publication-title: Commun. Nonlinear Sci. Numer. Simul. doi: 10.1016/j.cnsns.2014.05.013 – ident: 10.1016/j.neucom.2020.05.011_b0165 – volume: 49 start-page: 4335 issue: 12 year: 2019 ident: 10.1016/j.neucom.2020.05.011_b0055 article-title: Observer-based consensus control for discrete-time multiagent systems with coding-decoding communication protocol publication-title: IEEE Trans. Cybern. doi: 10.1109/TCYB.2018.2863664 – volume: 107 start-page: 353 year: 2019 ident: 10.1016/j.neucom.2020.05.011_b0075 article-title: Active disturbance rejection control for a pneumatic motion platform subject to actuator saturation: an extended state observer approach publication-title: Automatica doi: 10.1016/j.automatica.2019.05.056 – volume: 113 year: 2020 ident: 10.1016/j.neucom.2020.05.011_b0090 article-title: Quadratic estimation for discrete time-varying non-Gaussian systems with multiplicative noises and quantization effects publication-title: Automatica doi: 10.1016/j.automatica.2019.108714 – volume: 48 start-page: 541 year: 2017 ident: 10.1016/j.neucom.2020.05.011_b0150 article-title: Asymptotic stability of distributed order nonlinear dynamical systems publication-title: Commun. Nonlinear Sci. Numer. Simul. doi: 10.1016/j.cnsns.2017.01.020 – volume: 29 start-page: 2941 issue: 10 year: 2019 ident: 10.1016/j.neucom.2020.05.011_b0140 article-title: Distributed filtering for nonlinear time-delay systems over sensor networks subject to multiplicative link noises and switching topology publication-title: Int. J. Robust Nonlinear Control doi: 10.1002/rnc.4535 – year: 2013 ident: 10.1016/j.neucom.2020.05.011_b0010 – volume: 64 start-page: 5191 year: 2019 ident: 10.1016/j.neucom.2020.05.011_b0070 article-title: Moving horizon estimation for networked time-delay systems under Round-Robin protocol publication-title: IEEE Trans. Autom. Control doi: 10.1109/TAC.2019.2910167 – volume: 49 start-page: 523 issue: 3 year: 2018 ident: 10.1016/j.neucom.2020.05.011_b0155 article-title: Stability analysis of distributed-order nonlinear dynamic systems publication-title: Int. J. Syst. Sci. doi: 10.1080/00207721.2017.1412535 – volume: 48 start-page: 2437 issue: 8 year: 2018 ident: 10.1016/j.neucom.2020.05.011_b0050 article-title: Synchronization control for a class of discrete-time dynamical networks with packet dropouts: a coding-decoding-based approach publication-title: IEEE Trans. Cybern. doi: 10.1109/TCYB.2017.2740309 – year: 1999 ident: 10.1016/j.neucom.2020.05.011_b0180 – volume: 357 start-page: 108 year: 2019 ident: 10.1016/j.neucom.2020.05.011_b0045 article-title: Adaptive neural network-based control of uncertain nonlinear systems with time-varying full-state constraints and input constraint publication-title: Neurocomputing doi: 10.1016/j.neucom.2019.04.060 – volume: 37 start-page: 1253 issue: 8 year: 1992 ident: 10.1016/j.neucom.2020.05.011_b0195 article-title: H∞ control and quadratic stabilization of systems with parameter uncertainty via output feedback publication-title: IEEE Trans. Autom. Control doi: 10.1109/9.151120 – ident: 10.1016/j.neucom.2020.05.011_b0105 doi: 10.1109/TNNLS.2019.2946290 – volume: 187 start-page: 27 issue: 1 year: 2007 ident: 10.1016/j.neucom.2020.05.011_b0125 article-title: Robust stability test of a class of linear time-invariant interval fractional-order system using Lyapunov inequality publication-title: Appl. Math. Comput. – volume: 38 start-page: 6703 issue: 30 year: 2005 ident: 10.1016/j.neucom.2020.05.011_b0035 article-title: On a fractional distributed-order oscillator publication-title: J. Phys. A: Math. Gen. doi: 10.1088/0305-4470/38/30/006 – volume: 30 start-page: 1000 issue: 1 year: 2019 ident: 10.1016/j.neucom.2020.05.011_b0130 article-title: Exponential synchronization for delayed dynamical networks via intermittent control: dealing with actuator saturations publication-title: IEEE Trans. Neural Netw. Learn. Syst. doi: 10.1109/TNNLS.2018.2854841 – ident: 10.1016/j.neucom.2020.05.011_b0085 doi: 10.1109/TNNLS.2019.2952249 – volume: 384 start-page: 325 year: 2020 ident: 10.1016/j.neucom.2020.05.011_b0060 article-title: Finite-time synchronization of switched neural networks with state-dependent switching via intermittent control publication-title: Neurocomputing doi: 10.1016/j.neucom.2019.12.031 – volume: 42 start-page: 1163 issue: 2 year: 2009 ident: 10.1016/j.neucom.2020.05.011_b0175 article-title: Robust stability and stabilization of fractional-order linear systems with nonlinear uncertain parameters: an LMI approach publication-title: Chaos Solitons Fractals doi: 10.1016/j.chaos.2009.03.017 – ident: 10.1016/j.neucom.2020.05.011_b0205 doi: 10.1109/TNNLS.2019.2927595 – ident: 10.1016/j.neucom.2020.05.011_b0080 doi: 10.1109/TAC.2020.2968975 – volume: 62 start-page: 3455 issue: 7 year: 2017 ident: 10.1016/j.neucom.2020.05.011_b0135 article-title: Robust stabilization for uncertain saturated time-delay systems: a distributed-delay-dependent polytopic approach publication-title: IEEE Trans. Autom. Control doi: 10.1109/TAC.2016.2611559 |
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| SubjectTerms | Asymptotic stability Distributed-order derivative Nonlinear system Uncertainty |
| Title | Asymptotic stability and synchronization for nonlinear distributed-order system with uncertain parameters |
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