Robust Finite-Time Stability for Uncertain Discrete-Time Stochastic Nonlinear Systems with Time-Varying Delay

The main concern of this paper is finite-time stability (FTS) for uncertain discrete-time stochastic nonlinear systems (DSNSs) with time-varying delay (TVD) and multiplicative noise. First, a Lyapunov–Krasovskii function (LKF) is constructed, using the forward difference, and less conservative stabi...

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Detalles Bibliográficos
Autores principales: Liu, Xikui, Li, Wencong, Wang, Jiqiu, Li, Yan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9222432/
https://www.ncbi.nlm.nih.gov/pubmed/35741548
http://dx.doi.org/10.3390/e24060828
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author Liu, Xikui
Li, Wencong
Wang, Jiqiu
Li, Yan
author_facet Liu, Xikui
Li, Wencong
Wang, Jiqiu
Li, Yan
author_sort Liu, Xikui
collection PubMed
description The main concern of this paper is finite-time stability (FTS) for uncertain discrete-time stochastic nonlinear systems (DSNSs) with time-varying delay (TVD) and multiplicative noise. First, a Lyapunov–Krasovskii function (LKF) is constructed, using the forward difference, and less conservative stability criteria are obtained. By solving a series of linear matrix inequalities (LMIs), some sufficient conditions for FTS of the stochastic system are found. Moreover, FTS is presented for a stochastic nominal system. Lastly, the validity and improvement of the proposed methods are shown with two simulation examples.
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spelling pubmed-92224322022-06-24 Robust Finite-Time Stability for Uncertain Discrete-Time Stochastic Nonlinear Systems with Time-Varying Delay Liu, Xikui Li, Wencong Wang, Jiqiu Li, Yan Entropy (Basel) Article The main concern of this paper is finite-time stability (FTS) for uncertain discrete-time stochastic nonlinear systems (DSNSs) with time-varying delay (TVD) and multiplicative noise. First, a Lyapunov–Krasovskii function (LKF) is constructed, using the forward difference, and less conservative stability criteria are obtained. By solving a series of linear matrix inequalities (LMIs), some sufficient conditions for FTS of the stochastic system are found. Moreover, FTS is presented for a stochastic nominal system. Lastly, the validity and improvement of the proposed methods are shown with two simulation examples. MDPI 2022-06-14 /pmc/articles/PMC9222432/ /pubmed/35741548 http://dx.doi.org/10.3390/e24060828 Text en © 2022 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Liu, Xikui
Li, Wencong
Wang, Jiqiu
Li, Yan
Robust Finite-Time Stability for Uncertain Discrete-Time Stochastic Nonlinear Systems with Time-Varying Delay
title Robust Finite-Time Stability for Uncertain Discrete-Time Stochastic Nonlinear Systems with Time-Varying Delay
title_full Robust Finite-Time Stability for Uncertain Discrete-Time Stochastic Nonlinear Systems with Time-Varying Delay
title_fullStr Robust Finite-Time Stability for Uncertain Discrete-Time Stochastic Nonlinear Systems with Time-Varying Delay
title_full_unstemmed Robust Finite-Time Stability for Uncertain Discrete-Time Stochastic Nonlinear Systems with Time-Varying Delay
title_short Robust Finite-Time Stability for Uncertain Discrete-Time Stochastic Nonlinear Systems with Time-Varying Delay
title_sort robust finite-time stability for uncertain discrete-time stochastic nonlinear systems with time-varying delay
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9222432/
https://www.ncbi.nlm.nih.gov/pubmed/35741548
http://dx.doi.org/10.3390/e24060828
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AT liwencong robustfinitetimestabilityforuncertaindiscretetimestochasticnonlinearsystemswithtimevaryingdelay
AT wangjiqiu robustfinitetimestabilityforuncertaindiscretetimestochasticnonlinearsystemswithtimevaryingdelay
AT liyan robustfinitetimestabilityforuncertaindiscretetimestochasticnonlinearsystemswithtimevaryingdelay

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