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Stabilization of stochastic delay systems via a disordered controller

Guoliang Wang, Hongyang Cai, Qingling Zhang and Chunyu Yang

Applied Mathematics and Computation, 2017, vol. 314, issue C, 98-109

Abstract: In this paper, the stabilization for stochastic delay systems is achieved by a disordered controller. Different from the traditionally stabilizing controllers, the controller designed here experiences a disorder between control gains and system states. By exploiting the robust method, the above disorder is described as a controller having special uncertainties. Moreover, the probability distribution of such uncertainties is embodied by a Bernoulli variable. A sufficient condition for the existence of such a disordered controller is given with LMIs, where the probability is considered in its design procedure. Based on this description, a more general but complicated case where the corresponding probability is not exact but has a uncertainty is further studied, whose LMI conditions are presented too. Finally, a numerical example is exploited to demonstrate the effectiveness and superiority of the proposed methods.

Keywords: Stochastic delay systems; Disordered control; Robust; Stabilization (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:314:y:2017:i:c:p:98-109

DOI: 10.1016/j.amc.2017.06.022

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