Passivity analysis of Markovian switching complex dynamic networks with multiple time-varying delays and stochastic perturbations

Zhiyong Ye, Huihui Ji and He Zhang

Chaos, Solitons & Fractals, 2016, vol. 83, issue C, 147-157

Abstract: This paper is concerned with the passivity problem for a class of Markovian switching complex dynamic networks with multiple time-varying delays and stochastic perturbations. Some sufficient conditions are obtained to guarantee that the complex dynamic networks with multiple time-varying delays and stochastic perturbations under Markovian switching are passive in the sense of expectation. The appropriate stochastic Lyapunov–Krasovskii functional was constructed, and stochastic theory, linear matrix inequality technique and properties of Weiner process were employed to achieve the results. Finally, some simulation examples are presented to illustrate the effectiveness of the obtained results.

Keywords: Complex dynamic networks; Input passive; Output passive; Multiple time-varying delays; Stochastic perturbations; Markovian switching (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:83:y:2016:i:c:p:147-157

DOI: 10.1016/j.chaos.2015.11.027

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