An MDADT-Based Approach for L2-Gain Analysis of Discrete-Time Switched Delay Systems

We study the L2-gain analysis problem for a class of discrete-time switched systems with time-varying delays. A mode-dependent average dwell time (MDADT) approach is applied to analyze the L2-gain performance for these discrete-time switched delay systems. Combining a multiple Lyapunov functional me...

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Bibliographic Details
Main Authors: Honglei Xu, Xiang Xie, Lilian Shi
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2016/1673959
Description
Summary:We study the L2-gain analysis problem for a class of discrete-time switched systems with time-varying delays. A mode-dependent average dwell time (MDADT) approach is applied to analyze the L2-gain performance for these discrete-time switched delay systems. Combining a multiple Lyapunov functional method with the MDADT approach, sufficient conditions expressed in form of a set of feasible linear matrix inequalities (LMIs) are established to guarantee the L2-gain performance. Finally, a numerical example will be provided to demonstrate the validity and usefulness of the obtained results.
ISSN:1024-123X
1563-5147