Robust stabilization of stochastic Markovian jumping dynamical networks with mixed delays

Authors:
Jinyong Yu;Guanghui Sun
Affiliations:
Department of Control Science and Engineering, Harbin Institute of Technology, China;Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin 150001, China
Venue:
Neurocomputing
Year:
2012

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Abstract

In this paper, the problem of robust adaptive stabilization of uncertain stochastic jumping dynamical networks with mode-dependent mixed delays is investigated. The mixed delays are composed of time-varying delays and distributed delays, both of which are mode dependent. By adaptive feedback technique, several sufficient criteria are derived to ensure the global asymptotical stability in mean square for the uncertain stochastic dynamical networks with mixed delays and Markovian jumping parameters. The controller is easy to implement in practical situations. In the end, the corresponding simulation results are constructed to support the theoretical results in this paper.