Stability and stabilization of networked control system with forward and backward random time delays
type: Item
instance of: scholarly article
title: Stability and stabilization of networked control system with forward and backward random time delays
zbMATH Open document ID: 1264.93189
DOI: 10.1155/2012/834643
author: Yeguo Sun
author: Qing-Zheng Gao
published in: Mathematical Problems in Engineering
publication date: 2013-06-11T00:00:00Z
review text: Summary: This paper deals with the problem of stabilization for a class of networked control systems (NCSs) with random time delay via the state feedback control. Both sensor-to-controller and controller-to-actuator delays are modeled as Markov processes, and the resulting closed-loop system is modeled as a Markovian jump linear system (MJLS). Based on Lyapunov stability theorem combined with Razumikhin-based technique, a new delay-dependent stochastic stability criterion in terms of bilinear matrix inequalities (BMIs) for the system is derived. A state feedback controller that makes the closed-loop system stochastically stable is designed, which can be solved by the proposed algorithm. Simulations are included to demonstrate the theoretical result.
Mathematics Subject Classification ID: 93D05
Mathematics Subject Classification ID: 93D15
zbMATH DE Number: 6173619
MaRDI profile type: Publication
Wikidata QID: Q58912147
full work available at URL: https://doi.org/10.1155/2012/834643
OpenAlex ID: W1984622598
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description: scientific article; zbMATH DE number 6173619