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Delay-dependent stability criteria for a class of networked control systems with multi-input and multi-output

Huaicheng Yan, Xinhan Huang, Min Wang and Hao Zhang

Chaos, Solitons & Fractals, 2007, vol. 34, issue 3, 997-1005

Abstract: This paper deals with the problem of delay-dependent stability for networked control systems (NCSs) with structured uncertainties and multiple state time-delays. In view of multi-input and multi-output (MIMO) NCSs with many independent sensors and actuators, a continuous time model of NCSs with distributed time-delays and uncertainties is proposed. Based on Lyapunov stability theory combined with linear matrix inequalities (LMIs) techniques, some new delay-dependent stability criteria for the system in terms of LMIs are derived. With the proposed criteria, we are able to analyze the delay-dependent asymptotic stability and obtain maximum allowable delay bound (MADB) of NCSs with uncertainties and multiple time-delays. Compared to other criteria, the proposed criteria give a much less conservative MADB and more general results. Numerical example and simulation show that the proposed criteria are effective and are an improvement over previous ones.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:34:y:2007:i:3:p:997-1005

DOI: 10.1016/j.chaos.2006.04.038

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