Finite-time and sampled-data synchronization of complex dynamical networks subject to average dwell-time switching signal
This study deals with the finite-time synchronization problem of a class of switched complex dynamical networks (CDNs) with distributed coupling delays via sampled-data control. First, the dynamical model is studied with coupling delays in more detail. The sampling system is then converted to a cont...
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| Published in | Neural Networks Vol. 149; pp. 137 - 145 |
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| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
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United States
Elsevier Ltd
01.05.2022
Elsevier BV |
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| Abstract | This study deals with the finite-time synchronization problem of a class of switched complex dynamical networks (CDNs) with distributed coupling delays via sampled-data control. First, the dynamical model is studied with coupling delays in more detail. The sampling system is then converted to a continuous time-delay system using an input delay technique. We obtain some unique and less conservative criteria on exponential stability using the Lyapunov–Krasovskii functional (LKF), which is generated with a Kronecker product, linear matrix inequalities (LMIs), and integral inequality. Furthermore, some sufficient criteria are derived by an average dwell-time method and determine the finite-time boundedness of CDNs with switching signal. The proposed sufficient conditions can be represented in the form of LMIs. Finally, numerical examples are given to show that the suggested strategy is feasible. |
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| AbstractList | This study deals with the finite-time synchronization problem of a class of switched complex dynamical networks (CDNs) with distributed coupling delays via sampled-data control. First, the dynamical model is studied with coupling delays in more detail. The sampling system is then converted to a continuous time-delay system using an input delay technique. We obtain some unique and less conservative criteria on exponential stability using the Lyapunov–Krasovskii functional (LKF), which is generated with a Kronecker product, linear matrix inequalities (LMIs), and integral inequality. Furthermore, some sufficient criteria are derived by an average dwell-time method and determine the finite-time boundedness of CDNs with switching signal. The proposed sufficient conditions can be represented in the form of LMIs. Finally, numerical examples are given to show that the suggested strategy is feasible. This study deals with the finite-time synchronization problem of a class of switched complex dynamical networks (CDNs) with distributed coupling delays via sampled-data control. First, the dynamical model is studied with coupling delays in more detail. The sampling system is then converted to a continuous time-delay system using an input delay technique. We obtain some unique and less conservative criteria on exponential stability using the Lyapunov-Krasovskii functional (LKF), which is generated with a Kronecker product, linear matrix inequalities (LMIs), and integral inequality. Furthermore, some sufficient criteria are derived by an average dwell-time method and determine the finite-time boundedness of CDNs with switching signal. The proposed sufficient conditions can be represented in the form of LMIs. Finally, numerical examples are given to show that the suggested strategy is feasible.This study deals with the finite-time synchronization problem of a class of switched complex dynamical networks (CDNs) with distributed coupling delays via sampled-data control. First, the dynamical model is studied with coupling delays in more detail. The sampling system is then converted to a continuous time-delay system using an input delay technique. We obtain some unique and less conservative criteria on exponential stability using the Lyapunov-Krasovskii functional (LKF), which is generated with a Kronecker product, linear matrix inequalities (LMIs), and integral inequality. Furthermore, some sufficient criteria are derived by an average dwell-time method and determine the finite-time boundedness of CDNs with switching signal. The proposed sufficient conditions can be represented in the form of LMIs. Finally, numerical examples are given to show that the suggested strategy is feasible. |
| Author | Ghaffar, H.I. Abdul Diab, Ahmed A. Zaki Ali, M. Syed Arik, Sabri Gunasekaran, Nallappan |
| Author_xml | – sequence: 1 givenname: Nallappan orcidid: 0000-0003-0375-7917 surname: Gunasekaran fullname: Gunasekaran, Nallappan email: gunasmaths@gmail.com organization: Computational Intelligence Laboratory, Toyota Technological Institute, Nagoya, 468-8511, Japan – sequence: 2 givenname: M. Syed surname: Ali fullname: Ali, M. Syed email: syedgru@gmail.com organization: Department of Mathematics, Thiruvalluvar University, Tamil Nadu 632115, India – sequence: 3 givenname: Sabri orcidid: 0000-0002-4390-5139 surname: Arik fullname: Arik, Sabri email: ariks@istanbul.edu.tr organization: Department of Computer Engineering, Faculty of Engineering, Istanbul University-Cerrahpasa, Istanbul 34320, Turkey – sequence: 4 givenname: H.I. Abdul orcidid: 0000-0001-9435-5539 surname: Ghaffar fullname: Ghaffar, H.I. Abdul email: abdelghafaribrahim@yahoo.com organization: Mechatronics Department, Egyptian–Korean Faculty for Industry and Energy Technology, Banu Suef Technological University, Egypt – sequence: 5 givenname: Ahmed A. Zaki orcidid: 0000-0002-8598-9983 surname: Diab fullname: Diab, Ahmed A. Zaki email: a.diab@mu.edu.eg organization: Electrical Engineering Department, Faculty of Engineering, Minia University, Egypt |
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| Keywords | Sampled-data control Lyapunov method Average dwell-time Switching signal Complex dynamical networks Finite-time boundedness |
| Language | English |
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| SubjectTerms | Algorithms Average dwell-time Complex dynamical networks Finite-time boundedness Lyapunov method Neural Networks, Computer Sampled-data control Switching signal Time Factors |
| Title | Finite-time and sampled-data synchronization of complex dynamical networks subject to average dwell-time switching signal |
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