4.6 Article

Robust stabilization of stochastic Markovian jumping dynamical networks with mixed delays

Journal

NEUROCOMPUTING
Volume 86, Issue -, Pages 107-115

Publisher

ELSEVIER SCIENCE BV
DOI: 10.1016/j.neucom.2012.01.021

Keywords

Stochastic systems; Mixed time-delays; Markovian jumping; Adaptive control

Funding

  1. Fundamental Research Funds for the Central Universities [HIT. NSRIF. 201162, HIT. NSRIF. 2012031]
  2. National Natural Science Foundation of PR China [61104112]
  3. China Postdoctoral Science Foundation [2011M501040]

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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. (C) 2012 Elsevier B.V. All rights reserved.

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