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Type: Journal article
Title: Synchronization control for neutral stochastic delay Markov networks via single pinning impulsive strategy
Author: Chen H,
Shi, P.
Lim, C.C.
Citation: IEEE transactions on systems, man, and cybernetics. Systems, 2020; 50(12):5406-5419
Publisher: IEEE
Issue Date: 2020
ISSN: 2168-2216
Statement of
Huabin Chen, Peng Shi and Cheng-Chew Lim
Abstract: This paper considers the problems on the mean square exponential synchronization and the almost surely exponential synchronization for neutral stochastic dynamical delay networks with Markovian switching via the single pinning impulsive control. By using a unified approach incorporating the concept of average impulsive interval and Lyapunov function, and the Borel-Cantelli lemma, two criteria on the mean square exponential stability and the almost surely exponential stability for impulsive neutral stochastic delay systems with Markovian switching are derived. It is shown that the impulsive control with a suitable impulsive strength can stochastically stabilize the underlying systems. With the symmetry and irreducibility of the switching topologies, and the obtained stochastic stability criteria, sufficient conditions are derived to determine the mean square exponential synchronization of the underlaying networks via the single pinning impulsive controller, which are given with algebraic inequalities and M -matrix. The almost surely exponential synchronization is also analyzed. Two examples are given to verify the validity of the theoretic results presented.
Keywords: Markovian switching; neutral stochastic delay systems (NSDSs); neutral stochastic dynamical delay networks; single pinning impulsive control; synchronization
Rights: © 2018 IEEE. Personal use is permitted, but republication/redistribution requires IEEE permission. See for more information.
DOI: 10.1109/TSMC.2018.2882836
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Electrical and Electronic Engineering publications

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