Finite-time dissipative synchronization of discrete-time semi-Markovian jump complex dynamical networks with actuator faults
This paper is concerned with the problem of finite-time synchronization for a class of discrete-time semi-Markovian jumping complex dynamical networks (CDNs) with actuator faults based on reliable control. The main aim of this paper is to design a state feedback controller such that the resulting cl...
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| Published in | Soft computing (Berlin, Germany) Vol. 26; no. 17; pp. 8371 - 8386 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
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Berlin/Heidelberg
Springer Berlin Heidelberg
01.09.2022
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| Abstract | This paper is concerned with the problem of finite-time synchronization for a class of discrete-time semi-Markovian jumping complex dynamical networks (CDNs) with actuator faults based on reliable control. The main aim of this paper is to design a state feedback controller such that the resulting closed-loop system is finite-time synchronized under a prescribed dissipativity performance level even in the presence of actuator failures. Moreover, a stochastic nature followed by Bernoulli distribution is described in the considered networks due to the occurrence of probabilistic nature in time-varying delays. By composing a suitable Lyapunov–Krasovskii functional containing triple summation terms with the aid of Kronecker product properties, Lyapunov stability theory and free weighting matrix approach, sufficient criteria are established in terms of linear matrix inequalities that assure finite-time synchronization and meet the dissipativity performance to the addressed CDNs. The usefulness of the presented design scheme is finally verified by numerical examples. |
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| AbstractList | This paper is concerned with the problem of finite-time synchronization for a class of discrete-time semi-Markovian jumping complex dynamical networks (CDNs) with actuator faults based on reliable control. The main aim of this paper is to design a state feedback controller such that the resulting closed-loop system is finite-time synchronized under a prescribed dissipativity performance level even in the presence of actuator failures. Moreover, a stochastic nature followed by Bernoulli distribution is described in the considered networks due to the occurrence of probabilistic nature in time-varying delays. By composing a suitable Lyapunov–Krasovskii functional containing triple summation terms with the aid of Kronecker product properties, Lyapunov stability theory and free weighting matrix approach, sufficient criteria are established in terms of linear matrix inequalities that assure finite-time synchronization and meet the dissipativity performance to the addressed CDNs. The usefulness of the presented design scheme is finally verified by numerical examples. |
| Author | Vijayakumar, V. Sakthivel, N. Ma, Yong-Ki Pallavi, S. |
| Author_xml | – sequence: 1 givenname: N. surname: Sakthivel fullname: Sakthivel, N. organization: Department of Applied Mathematics, Bharathiar University – sequence: 2 givenname: S. surname: Pallavi fullname: Pallavi, S. organization: Department of Applied Mathematics, Bharathiar University – sequence: 3 givenname: Yong-Ki surname: Ma fullname: Ma, Yong-Ki email: ykma@kongju.ac.kr organization: Department of Applied Mathematics, Kongju National University – sequence: 4 givenname: V. surname: Vijayakumar fullname: Vijayakumar, V. organization: Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology |
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| Keywords | Reliable control Finite-time synchronization Dissipativity Semi-Markovian jumping Complex dynamical networks |
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| Title | Finite-time dissipative synchronization of discrete-time semi-Markovian jump complex dynamical networks with actuator faults |
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