Disordered Stabilization of Stochastic Delay Systems: The Disorder-Dependent Approach

Guoliang Wang and Hongyang Cai

Mathematical Problems in Engineering, 2017, vol. 2017, 1-13

Abstract:

In this paper, a general stabilization problem of stochastic delay systems is realized by a disordered controller and studied by exploiting the disorder-dependent approach. Different from the traditional results, the stabilizing controller here experiences a disorder between control gains and system states. Firstly, the above disorder is described by the robust method, whose probability distribution is embodied by a Markov process with two modes. Based on this description, a kind of disordered controller having special uncertainties and depending on a Markov process is proposed. Then, by exploiting a disorder-dependent Lyapunov functional, two respective conditions for the existence of such a disordered controller are provided with LMIs. Moreover, the presented results are further extended to a general case that the corresponding transition rate matrix of the disordered controller has uncertainties. Finally, a numerical example is exploited to demonstrate the effectiveness and superiority of the proposed methods.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:7057628

DOI: 10.1155/2017/7057628

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