Stability and L 2 – Gain analysis of linear switched singular systems by using multiple discontinuous Lyapunov function approach

Stability and L 2 – Gain analysis of linear switched singular systems by using multiple discontinuous Lyapunov function approach

In this paper, the problem of the E-exponential stability and [Formula: see text] analysis of linear switched singular systems is investigated in discrete-time case. By using a multiple discontinuous Lyapunov function approach and adopting the mode-dependent average dwell time (MDADT) switching sign...

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Bibliographic Details
Published in:Transactions of the Institute of Measurement and Control Vol. 41; no. 15; pp. 4197 - 4206
Main Authors: Wei, Jumei, Zhi, Huimin, Liu, Kai
Format: Journal Article
Language:English
Published: 01-11-2019
Online Access:Get full text
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Summary:In this paper, the problem of the E-exponential stability and [Formula: see text] analysis of linear switched singular systems is investigated in discrete-time case. By using a multiple discontinuous Lyapunov function approach and adopting the mode-dependent average dwell time (MDADT) switching signals, new sufficient conditions of E-exponential stability and [Formula: see text] analysis for linear switched singular systems are presented. Based on the above results, we also derive the weighted [Formula: see text] performance index. In addition, by utilizing our proposed method, tighter bounds on average dwell time can be obtained for our considered systems. At last, a numerical example is given to show the effectiveness of the results.
ISSN:0142-3312
1477-0369
DOI:10.1177/0142331219852461