Disordered stabilization of stochastic delay systems: the disorder-dependent approach
type: Item
instance of: scholarly article
title: Disordered stabilization of stochastic delay systems: the disorder-dependent approach
zbMATH Open document ID: 1426.93358
DOI: 10.1155/2017/7057628
author: Guoliang Wang
author: Hongyang Cai
published in: Mathematical Problems in Engineering
publication date: 2018-11-05T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 93E15
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 93E03
Mathematics Subject Classification ID: 93C15
zbMATH DE Number: 6972416
Wikidata QID: Q59147736
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/7057628
OpenAlex ID: W2597522199
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description: scientific article; zbMATH DE number 6972416