Robust optimal control of logical control networks with function perturbation
Optimal control is an important branch in modern control theory. In this article, the robustness of optimal control sequence is investigated for logical control networks (LCNs) subject to function perturbation. Firstly, the impact of function perturbation on the Bolza-type optimal control problem of...
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| Published in | Automatica (Oxford) Vol. 152; p. 110970 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
01.06.2023
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| Abstract | Optimal control is an important branch in modern control theory. In this article, the robustness of optimal control sequence is investigated for logical control networks (LCNs) subject to function perturbation. Firstly, the impact of function perturbation on the Bolza-type optimal control problem of LCNs is analyzed, and several sufficient conditions are presented for the robustness of optimal control sequence. Secondly, combining the characteristics of state transition matrix and stage cost function, a kind of optimal matrix is constructed, which brings a new way for the solvability of Bolza-type optimal control problem. Thirdly, the optimal matrix is used to measure the deviation of cost function with respect to function perturbation, and several necessary and sufficient conditions are proposed to guarantee the robustness of optimal control sequence. Finally, the robustness of optimal control sequence in the Bolza-type optimal control problem is applied to other types of finite-horizon and infinite-horizon optimal control problems of LCNs. |
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| AbstractList | Optimal control is an important branch in modern control theory. In this article, the robustness of optimal control sequence is investigated for logical control networks (LCNs) subject to function perturbation. Firstly, the impact of function perturbation on the Bolza-type optimal control problem of LCNs is analyzed, and several sufficient conditions are presented for the robustness of optimal control sequence. Secondly, combining the characteristics of state transition matrix and stage cost function, a kind of optimal matrix is constructed, which brings a new way for the solvability of Bolza-type optimal control problem. Thirdly, the optimal matrix is used to measure the deviation of cost function with respect to function perturbation, and several necessary and sufficient conditions are proposed to guarantee the robustness of optimal control sequence. Finally, the robustness of optimal control sequence in the Bolza-type optimal control problem is applied to other types of finite-horizon and infinite-horizon optimal control problems of LCNs. |
| ArticleNumber | 110970 |
| Author | Li, Haitao Yang, Xinrong |
| Author_xml | – sequence: 1 givenname: Haitao surname: Li fullname: Li, Haitao email: haitaoli09@gmail.com – sequence: 2 givenname: Xinrong surname: Yang fullname: Yang, Xinrong email: xinrongyang2019@163.com |
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| Cites_doi | 10.1089/cmb.2011.0031 10.1109/TCYB.2018.2842819 10.1016/j.automatica.2009.03.006 10.1109/TNN.2009.2027233 10.1109/TAC.2013.2294821 10.1016/j.jtbi.2006.09.023 10.1109/TAC.2015.2419874 10.1016/j.automatica.2015.01.023 10.1073/pnas.38.8.716 10.1109/TAC.2021.3081621 10.1109/TAC.2020.2997282 10.1080/00207179.2017.1306113 10.1137/S0363012903427518 10.1016/j.neucom.2021.05.019 10.1137/16M1070281 10.1016/j.automatica.2018.11.036 10.1093/bioinformatics/btm093 10.1137/060665294 10.1016/j.jfranklin.2021.04.019 10.1016/j.ifacol.2018.05.107 10.1007/s11432-017-9269-6 10.1137/18M1214147 10.1109/TAC.2018.2880411 10.1038/nrc3063 10.1109/TSMC.2019.2911900 10.1109/TAC.2021.3087452 10.1016/j.sysconle.2020.104783 10.1023/A:1023909812213 10.1109/TCNS.2020.2999456 10.1016/j.jtbi.2019.04.012 10.1093/bioinformatics/btq240 10.1109/TNNLS.2020.3027599 10.1080/23307706.2015.1098577 10.3934/dcdss.2020373 10.1109/TAC.2010.2101430 10.1016/j.automatica.2017.01.032 10.1137/19M1281332 |
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| Keywords | Optimal matrix Logical control network Optimal control Function perturbation Algebraic state space representation |
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| References | Pontryagin, Boltyanskii, Gamdrelidze, Mishchenko (b25) 1962 Aseev, Kryazhimskiy (b2) 2004; 43 Fu, Li, Zhao (b11) 2018; 91 Wei, Zhu, Li, Liu (b31) 2022; 67 Fornasini, Valcher (b10) 2016; 3 Gao, Sun, Xiang, Qin, Lee (b12) 2022; 33 Ren, Lu, Liu, Shi (b26) 2022; 69 Xiao, Dougherty (b33) 2007; 23 Bian, Jiang (b4) 2019; 57 Veliz-Cuba, Jarrah, Laubenbacher (b28) 2010; 26 Cheng, Zhao, Xu (b7) 2015; 60 Laura, Corrado, Antonio (b16) 2019; 472 Wu, Sun, Zhao, Shen (b32) 2019; 100 Gao, Wang, Feng, Li (b13) 2021; 454 Yang, Liu, Lou, Wang (b34) 2021; 14 Li, Yang, Wang (b20) 2021; 66 Zou, Zhu (b42) 2015; 54 Lin, J., Zhu, Shi (b22) 2022; 67 Datta, Choudhary, Bittner, Dougherty (b8) 2003; 52 Bellman (b3) 1952; 38 Loeb (b23) 2011; 11 Yu, Feng, Pan, Cheng (b35) 2019; 64 Yue, Yan (b36) 2022; 69 Veliz-Cuba, Stigler (b29) 2011; 18 Shribharath, Kothari (b27) 2018; 51 Zhang, Luo, Liu (b37) 2009; 20 Lu, Li, Liu, Ho, Kurths (b24) 2018; 61 Zhu, Lu, Huang, Liu (b40) 2020; 7 Ledzewicz, Schttler (b17) 2007; 46 Zhong, Ho, Lu, Jiao (b38) 2019; 49 Cheng, Qi, Li (b6) 2011 Li, Li, Xie, Zhou (b18) 2017; 80 Li, Wang, Li, Zhao (b19) 2020; 58 Hinkelmann, Brandon, Guang, Mcneill, Blekherman, Veliz-Cuba (b14) 2011; 12 Li, Zhu, Lu (b21) 2022; 359 Cheng, Qi (b5) 2009; 45 Zhu, Liu, Lu, Cao (b39) 2018; 56 Fornasini, Valcher (b9) 2014; 59 Wang, Feng (b30) 2020; 145 Zhu, Zhao, He (b41) 2020; 50 Akutsu, Hayashida, Ching, Ng (b1) 2007; 244 Laschov, Margaliot (b15) 2011; 56 Gao (10.1016/j.automatica.2023.110970_b12) 2022; 33 Bian (10.1016/j.automatica.2023.110970_b4) 2019; 57 Laschov (10.1016/j.automatica.2023.110970_b15) 2011; 56 Loeb (10.1016/j.automatica.2023.110970_b23) 2011; 11 Lu (10.1016/j.automatica.2023.110970_b24) 2018; 61 Zhu (10.1016/j.automatica.2023.110970_b41) 2020; 50 Fornasini (10.1016/j.automatica.2023.110970_b9) 2014; 59 Ledzewicz (10.1016/j.automatica.2023.110970_b17) 2007; 46 Li (10.1016/j.automatica.2023.110970_b18) 2017; 80 Yu (10.1016/j.automatica.2023.110970_b35) 2019; 64 Veliz-Cuba (10.1016/j.automatica.2023.110970_b28) 2010; 26 Wei (10.1016/j.automatica.2023.110970_b31) 2022; 67 Cheng (10.1016/j.automatica.2023.110970_b7) 2015; 60 Li (10.1016/j.automatica.2023.110970_b20) 2021; 66 Li (10.1016/j.automatica.2023.110970_b21) 2022; 359 Ren (10.1016/j.automatica.2023.110970_b26) 2022; 69 Lin (10.1016/j.automatica.2023.110970_b22) 2022; 67 Cheng (10.1016/j.automatica.2023.110970_b6) 2011 Shribharath (10.1016/j.automatica.2023.110970_b27) 2018; 51 Zhu (10.1016/j.automatica.2023.110970_b40) 2020; 7 Yue (10.1016/j.automatica.2023.110970_b36) 2022; 69 Bellman (10.1016/j.automatica.2023.110970_b3) 1952; 38 Fu (10.1016/j.automatica.2023.110970_b11) 2018; 91 Pontryagin (10.1016/j.automatica.2023.110970_b25) 1962 Laura (10.1016/j.automatica.2023.110970_b16) 2019; 472 Datta (10.1016/j.automatica.2023.110970_b8) 2003; 52 Gao (10.1016/j.automatica.2023.110970_b13) 2021; 454 Veliz-Cuba (10.1016/j.automatica.2023.110970_b29) 2011; 18 Xiao (10.1016/j.automatica.2023.110970_b33) 2007; 23 Zou (10.1016/j.automatica.2023.110970_b42) 2015; 54 Fornasini (10.1016/j.automatica.2023.110970_b10) 2016; 3 Cheng (10.1016/j.automatica.2023.110970_b5) 2009; 45 Wu (10.1016/j.automatica.2023.110970_b32) 2019; 100 Zhang (10.1016/j.automatica.2023.110970_b37) 2009; 20 Wang (10.1016/j.automatica.2023.110970_b30) 2020; 145 Yang (10.1016/j.automatica.2023.110970_b34) 2021; 14 Akutsu (10.1016/j.automatica.2023.110970_b1) 2007; 244 Aseev (10.1016/j.automatica.2023.110970_b2) 2004; 43 Hinkelmann (10.1016/j.automatica.2023.110970_b14) 2011; 12 Zhong (10.1016/j.automatica.2023.110970_b38) 2019; 49 Li (10.1016/j.automatica.2023.110970_b19) 2020; 58 Zhu (10.1016/j.automatica.2023.110970_b39) 2018; 56 |
| References_xml | – volume: 64 start-page: 3129 year: 2019 end-page: 3140 ident: b35 article-title: Block decoupling of Boolean control networks publication-title: IEEE Transactions on Automatic Control – volume: 49 start-page: 3398 year: 2019 end-page: 3408 ident: b38 article-title: Pinning controllers for activation output tracking of Boolean network under one-bit perturbation publication-title: IEEE Transactions on Cybernetics – volume: 26 start-page: 1637 year: 2010 end-page: 1643 ident: b28 article-title: Polynomial algebra of discrete models in systems biology publication-title: Bioinformatics – volume: 11 start-page: 450 year: 2011 end-page: 457 ident: b23 article-title: Human cancers express mutator phenotypes: Origin, consequences and targeting publication-title: Nature Reviews Cancer – year: 1962 ident: b25 article-title: The mathematical theory of optimal processes – volume: 61 year: 2018 ident: b24 article-title: Nonsingularity of Grain-like cascade FSRs via semi-tensor product publication-title: Science China. Information Sciences – volume: 58 start-page: 3632 year: 2020 end-page: 3657 ident: b19 article-title: Perturbation analysis for controllability of logical control network publication-title: SIAM Journal on Control and Optimization – volume: 3 start-page: 1 year: 2016 end-page: 18 ident: b10 article-title: Recent developments in Boolean networks control publication-title: Journal of Control and Decision – volume: 454 start-page: 34 year: 2021 end-page: 44 ident: b13 article-title: Finite automata approach to reconstructibility of switched Boolean control networks publication-title: Neurocomputing – volume: 52 start-page: 169 year: 2003 end-page: 191 ident: b8 article-title: External control in Markovian genetic regulatory networks publication-title: Machine Learning – volume: 46 start-page: 1052 year: 2007 end-page: 1079 ident: b17 article-title: Anti-angiogenic therapy in cancer treatment as an optimal control problem publication-title: SIAM Journal on Control and Optimization – volume: 20 start-page: 1490 year: 2009 end-page: 1503 ident: b37 article-title: Neural-network-based near-optimal control for a class of discrete-time affine nonlinear systems with control constraints publication-title: IEEE Transactions on Neural Networks – volume: 59 start-page: 1258 year: 2014 end-page: 1270 ident: b9 article-title: Optimal control of Boolean control networks publication-title: IEEE Transactions on Automatic Control – volume: 50 start-page: 3959 year: 2020 end-page: 3971 ident: b41 article-title: Invariant adaptive dynamic programming for discrete-time optimal control publication-title: IEEE Transactions on Systems, Man, and Cybernetics: Systems – volume: 80 start-page: 41 year: 2017 end-page: 47 ident: b18 article-title: On stabilization and set stabilization of multivalued logical systems publication-title: Automatica – volume: 244 start-page: 670 year: 2007 end-page: 679 ident: b1 article-title: Control of Boolean networks: Hardness results and algorithms for tree structured networks publication-title: Journal of Theoretical Biology – volume: 100 start-page: 378 year: 2019 end-page: 387 ident: b32 article-title: Optimal control of boolean control networks with average cost: A policy iteration approach publication-title: Automatica – volume: 67 start-page: 1016 year: 2022 end-page: 1022 ident: b22 article-title: Synchronization analysis for stochastic networks through finite fields publication-title: IEEE Transactions on Automatic Control – volume: 43 start-page: 1094 year: 2004 end-page: 1119 ident: b2 article-title: The pontryagin maximum principle and transversality conditions for a class of optimal control problems with infinite time horizons publication-title: SIAM Journal on Control and Optimization – volume: 45 start-page: 1659 year: 2009 end-page: 1667 ident: b5 article-title: Controllability and observability of Boolean control networks publication-title: Automatica – volume: 60 start-page: 3362 year: 2015 end-page: 3366 ident: b7 article-title: Receding horizon based feedback optimization for mix-valued logical networks publication-title: IEEE Transactions on Automatic Control – volume: 69 start-page: 1164 year: 2022 end-page: 1167 ident: b36 article-title: Update law of simplifying finite state machines (FSMs) an answer to the open question of the unmanned optimization of FSMs publication-title: IEEE Transactions on Circuits and Systems II: Express Briefs – volume: 69 start-page: 504 year: 2022 end-page: 508 ident: b26 article-title: Cluster synchronization of boolean networks under probabilistic function perturbation publication-title: IEEE Transactions on Circuits and Systems II: Express Briefs – volume: 14 start-page: 1519 year: 2021 end-page: 1533 ident: b34 article-title: Observability of switched Boolean control networks using algebraic forms publication-title: Discrete and Continuous Dynamical Systems-Series S – volume: 54 start-page: 65 year: 2015 end-page: 71 ident: b42 article-title: Kalman decomposition for Boolean control networks publication-title: Automatica – volume: 145 year: 2020 ident: b30 article-title: Detectability of boolean networks with disturbance inputs publication-title: Systems & Control Letters – volume: 33 start-page: 157 year: 2022 end-page: 171 ident: b12 article-title: Finite-horizon optimal control of Boolean control networks: A unified graph-theoretical approach publication-title: IEEE Transactions on Neural Networks and Learning Systems – volume: 18 start-page: 783 year: 2011 end-page: 794 ident: b29 article-title: Boolean models can explain bistability in the lac operon publication-title: Journal of Computational Biology – volume: 38 start-page: 716 year: 1952 end-page: 719 ident: b3 article-title: On the theory of dynamic programming publication-title: Proceedings of the National Academy of Sciences – volume: 57 start-page: 4150 year: 2019 end-page: 4174 ident: b4 article-title: Continuous-time robust dynamic programming publication-title: SIAM Journal on Control and Optimization – volume: 472 start-page: 46 year: 2019 end-page: 53 ident: b16 article-title: Boolean network analysis through the joint use of linear algebra and algebraic geometry publication-title: Journal of Theoretical Biology – volume: 51 start-page: 638 year: 2018 end-page: 643 ident: b27 article-title: Optimal orbital transfers to asteroids publication-title: IFAC PapersOnLine – volume: 12 year: 2011 ident: b14 article-title: ADAM: Analysis of discrete models of biological systems using computer algebra publication-title: BMC Bioinformatics – volume: 23 start-page: 1265 year: 2007 end-page: 1273 ident: b33 article-title: The impact of function perturbations in boolean networks publication-title: Bioinformatics – volume: 359 start-page: 224 year: 2022 end-page: 239 ident: b21 article-title: Improved transformation between fibonacci FSRs and galois FSRs based on semi-tensor product publication-title: Journal of the Franklin Institute – volume: 67 start-page: 2610 year: 2022 end-page: 2617 ident: b31 article-title: A new approach to finite-horizon optimal control of discrete-time affine nonlinear systems via a pseudolinear method publication-title: IEEE Transactions on Automatic Control – volume: 56 start-page: 913 year: 2011 end-page: 917 ident: b15 article-title: A maximum principle for single-input Boolean control networks publication-title: IEEE Transactions on Automatic Control – volume: 7 start-page: 1769 year: 2020 end-page: 1777 ident: b40 article-title: Output robustness of probabilistic Boolean control networks with respect to one-bit perturbation publication-title: IEEE Transactions on Control of Network Systems – volume: 91 start-page: 1104 year: 2018 end-page: 1117 ident: b11 article-title: Modelling and strategy optimisation for a kind of networked evolutionary games with memories under the bankruptcy mechanism publication-title: International Journal of Control – year: 2011 ident: b6 article-title: Analysis and control of boolean networks: a semi-tensor product approach – volume: 56 start-page: 1321 year: 2018 end-page: 1341 ident: b39 article-title: On the optimal control of Boolean control networks publication-title: SIAM Journal on Control and Optimization – volume: 66 start-page: 1231 year: 2021 end-page: 1237 ident: b20 article-title: Robustness for stability and stabilization of Boolean networks with stochastic function perturbations publication-title: IEEE Transactions on Automatic Control – volume: 18 start-page: 783 year: 2011 ident: 10.1016/j.automatica.2023.110970_b29 article-title: Boolean models can explain bistability in the lac operon publication-title: Journal of Computational Biology doi: 10.1089/cmb.2011.0031 – year: 2011 ident: 10.1016/j.automatica.2023.110970_b6 – volume: 49 start-page: 3398 issue: 9 year: 2019 ident: 10.1016/j.automatica.2023.110970_b38 article-title: Pinning controllers for activation output tracking of Boolean network under one-bit perturbation publication-title: IEEE Transactions on Cybernetics doi: 10.1109/TCYB.2018.2842819 – volume: 45 start-page: 1659 issue: 7 year: 2009 ident: 10.1016/j.automatica.2023.110970_b5 article-title: Controllability and observability of Boolean control networks publication-title: Automatica doi: 10.1016/j.automatica.2009.03.006 – volume: 20 start-page: 1490 issue: 9 year: 2009 ident: 10.1016/j.automatica.2023.110970_b37 article-title: Neural-network-based near-optimal control for a class of discrete-time affine nonlinear systems with control constraints publication-title: IEEE Transactions on Neural Networks doi: 10.1109/TNN.2009.2027233 – volume: 69 start-page: 504 issue: 2 year: 2022 ident: 10.1016/j.automatica.2023.110970_b26 article-title: Cluster synchronization of boolean networks under probabilistic function perturbation publication-title: IEEE Transactions on Circuits and Systems II: Express Briefs – volume: 59 start-page: 1258 issue: 5 year: 2014 ident: 10.1016/j.automatica.2023.110970_b9 article-title: Optimal control of Boolean control networks publication-title: IEEE Transactions on Automatic Control doi: 10.1109/TAC.2013.2294821 – volume: 12 issue: 295 year: 2011 ident: 10.1016/j.automatica.2023.110970_b14 article-title: ADAM: Analysis of discrete models of biological systems using computer algebra publication-title: BMC Bioinformatics – volume: 69 start-page: 1164 issue: 3 year: 2022 ident: 10.1016/j.automatica.2023.110970_b36 article-title: Update law of simplifying finite state machines (FSMs) an answer to the open question of the unmanned optimization of FSMs publication-title: IEEE Transactions on Circuits and Systems II: Express Briefs – volume: 244 start-page: 670 issue: 4 year: 2007 ident: 10.1016/j.automatica.2023.110970_b1 article-title: Control of Boolean networks: Hardness results and algorithms for tree structured networks publication-title: Journal of Theoretical Biology doi: 10.1016/j.jtbi.2006.09.023 – volume: 60 start-page: 3362 issue: 12 year: 2015 ident: 10.1016/j.automatica.2023.110970_b7 article-title: Receding horizon based feedback optimization for mix-valued logical networks publication-title: IEEE Transactions on Automatic Control doi: 10.1109/TAC.2015.2419874 – volume: 54 start-page: 65 year: 2015 ident: 10.1016/j.automatica.2023.110970_b42 article-title: Kalman decomposition for Boolean control networks publication-title: Automatica doi: 10.1016/j.automatica.2015.01.023 – volume: 38 start-page: 716 year: 1952 ident: 10.1016/j.automatica.2023.110970_b3 article-title: On the theory of dynamic programming publication-title: Proceedings of the National Academy of Sciences doi: 10.1073/pnas.38.8.716 – volume: 67 start-page: 1016 issue: 2 year: 2022 ident: 10.1016/j.automatica.2023.110970_b22 article-title: Synchronization analysis for stochastic networks through finite fields publication-title: IEEE Transactions on Automatic Control doi: 10.1109/TAC.2021.3081621 – volume: 66 start-page: 1231 issue: 3 year: 2021 ident: 10.1016/j.automatica.2023.110970_b20 article-title: Robustness for stability and stabilization of Boolean networks with stochastic function perturbations publication-title: IEEE Transactions on Automatic Control doi: 10.1109/TAC.2020.2997282 – volume: 91 start-page: 1104 issue: 5 year: 2018 ident: 10.1016/j.automatica.2023.110970_b11 article-title: Modelling and strategy optimisation for a kind of networked evolutionary games with memories under the bankruptcy mechanism publication-title: International Journal of Control doi: 10.1080/00207179.2017.1306113 – volume: 43 start-page: 1094 issue: 3 year: 2004 ident: 10.1016/j.automatica.2023.110970_b2 article-title: The pontryagin maximum principle and transversality conditions for a class of optimal control problems with infinite time horizons publication-title: SIAM Journal on Control and Optimization doi: 10.1137/S0363012903427518 – volume: 454 start-page: 34 issue: 24 year: 2021 ident: 10.1016/j.automatica.2023.110970_b13 article-title: Finite automata approach to reconstructibility of switched Boolean control networks publication-title: Neurocomputing doi: 10.1016/j.neucom.2021.05.019 – volume: 56 start-page: 1321 issue: 2 year: 2018 ident: 10.1016/j.automatica.2023.110970_b39 article-title: On the optimal control of Boolean control networks publication-title: SIAM Journal on Control and Optimization doi: 10.1137/16M1070281 – volume: 100 start-page: 378 year: 2019 ident: 10.1016/j.automatica.2023.110970_b32 article-title: Optimal control of boolean control networks with average cost: A policy iteration approach publication-title: Automatica doi: 10.1016/j.automatica.2018.11.036 – volume: 23 start-page: 1265 issue: 10 year: 2007 ident: 10.1016/j.automatica.2023.110970_b33 article-title: The impact of function perturbations in boolean networks publication-title: Bioinformatics doi: 10.1093/bioinformatics/btm093 – volume: 46 start-page: 1052 issue: 3 year: 2007 ident: 10.1016/j.automatica.2023.110970_b17 article-title: Anti-angiogenic therapy in cancer treatment as an optimal control problem publication-title: SIAM Journal on Control and Optimization doi: 10.1137/060665294 – volume: 359 start-page: 224 issue: 1 year: 2022 ident: 10.1016/j.automatica.2023.110970_b21 article-title: Improved transformation between fibonacci FSRs and galois FSRs based on semi-tensor product publication-title: Journal of the Franklin Institute doi: 10.1016/j.jfranklin.2021.04.019 – volume: 51 start-page: 638 issue: 1 year: 2018 ident: 10.1016/j.automatica.2023.110970_b27 article-title: Optimal orbital transfers to asteroids publication-title: IFAC PapersOnLine doi: 10.1016/j.ifacol.2018.05.107 – volume: 61 issue: 1 year: 2018 ident: 10.1016/j.automatica.2023.110970_b24 article-title: Nonsingularity of Grain-like cascade FSRs via semi-tensor product publication-title: Science China. Information Sciences doi: 10.1007/s11432-017-9269-6 – volume: 57 start-page: 4150 issue: 6 year: 2019 ident: 10.1016/j.automatica.2023.110970_b4 article-title: Continuous-time robust dynamic programming publication-title: SIAM Journal on Control and Optimization doi: 10.1137/18M1214147 – volume: 64 start-page: 3129 issue: 8 year: 2019 ident: 10.1016/j.automatica.2023.110970_b35 article-title: Block decoupling of Boolean control networks publication-title: IEEE Transactions on Automatic Control doi: 10.1109/TAC.2018.2880411 – volume: 11 start-page: 450 year: 2011 ident: 10.1016/j.automatica.2023.110970_b23 article-title: Human cancers express mutator phenotypes: Origin, consequences and targeting publication-title: Nature Reviews Cancer doi: 10.1038/nrc3063 – volume: 50 start-page: 3959 issue: 11 year: 2020 ident: 10.1016/j.automatica.2023.110970_b41 article-title: Invariant adaptive dynamic programming for discrete-time optimal control publication-title: IEEE Transactions on Systems, Man, and Cybernetics: Systems doi: 10.1109/TSMC.2019.2911900 – volume: 67 start-page: 2610 issue: 5 year: 2022 ident: 10.1016/j.automatica.2023.110970_b31 article-title: A new approach to finite-horizon optimal control of discrete-time affine nonlinear systems via a pseudolinear method publication-title: IEEE Transactions on Automatic Control doi: 10.1109/TAC.2021.3087452 – year: 1962 ident: 10.1016/j.automatica.2023.110970_b25 – volume: 145 year: 2020 ident: 10.1016/j.automatica.2023.110970_b30 article-title: Detectability of boolean networks with disturbance inputs publication-title: Systems & Control Letters doi: 10.1016/j.sysconle.2020.104783 – volume: 52 start-page: 169 year: 2003 ident: 10.1016/j.automatica.2023.110970_b8 article-title: External control in Markovian genetic regulatory networks publication-title: Machine Learning doi: 10.1023/A:1023909812213 – volume: 7 start-page: 1769 issue: 4 year: 2020 ident: 10.1016/j.automatica.2023.110970_b40 article-title: Output robustness of probabilistic Boolean control networks with respect to one-bit perturbation publication-title: IEEE Transactions on Control of Network Systems doi: 10.1109/TCNS.2020.2999456 – volume: 472 start-page: 46 year: 2019 ident: 10.1016/j.automatica.2023.110970_b16 article-title: Boolean network analysis through the joint use of linear algebra and algebraic geometry publication-title: Journal of Theoretical Biology doi: 10.1016/j.jtbi.2019.04.012 – volume: 26 start-page: 1637 issue: 13 year: 2010 ident: 10.1016/j.automatica.2023.110970_b28 article-title: Polynomial algebra of discrete models in systems biology publication-title: Bioinformatics doi: 10.1093/bioinformatics/btq240 – volume: 33 start-page: 157 issue: 1 year: 2022 ident: 10.1016/j.automatica.2023.110970_b12 article-title: Finite-horizon optimal control of Boolean control networks: A unified graph-theoretical approach publication-title: IEEE Transactions on Neural Networks and Learning Systems doi: 10.1109/TNNLS.2020.3027599 – volume: 3 start-page: 1 issue: 1 year: 2016 ident: 10.1016/j.automatica.2023.110970_b10 article-title: Recent developments in Boolean networks control publication-title: Journal of Control and Decision doi: 10.1080/23307706.2015.1098577 – volume: 14 start-page: 1519 issue: 4 year: 2021 ident: 10.1016/j.automatica.2023.110970_b34 article-title: Observability of switched Boolean control networks using algebraic forms publication-title: Discrete and Continuous Dynamical Systems-Series S doi: 10.3934/dcdss.2020373 – volume: 56 start-page: 913 issue: 4 year: 2011 ident: 10.1016/j.automatica.2023.110970_b15 article-title: A maximum principle for single-input Boolean control networks publication-title: IEEE Transactions on Automatic Control doi: 10.1109/TAC.2010.2101430 – volume: 80 start-page: 41 year: 2017 ident: 10.1016/j.automatica.2023.110970_b18 article-title: On stabilization and set stabilization of multivalued logical systems publication-title: Automatica doi: 10.1016/j.automatica.2017.01.032 – volume: 58 start-page: 3632 issue: 6 year: 2020 ident: 10.1016/j.automatica.2023.110970_b19 article-title: Perturbation analysis for controllability of logical control network publication-title: SIAM Journal on Control and Optimization doi: 10.1137/19M1281332 |
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| SubjectTerms | Algebraic state space representation Function perturbation Logical control network Optimal control Optimal matrix |
| Title | Robust optimal control of logical control networks with function perturbation |
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