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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Bibliographic Details
Published inSoft computing (Berlin, Germany) Vol. 26; no. 17; pp. 8371 - 8386
Main Authors Sakthivel, N., Pallavi, S., Ma, Yong-Ki, Vijayakumar, V.
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.09.2022
Subjects
Artificial Intelligence
Computational Intelligence
Control
Engineering
Fuzzy Systems and Their Mathematics
Mathematical Logic and Foundations
Mechatronics
Robotics
Reliable control
Finite-time synchronization
Dissipativity
Semi-Markovian jumping
Complex dynamical networks
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Summary: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.
ISSN:1432-7643
1433-7479
DOI:10.1007/s00500-022-07207-4