Stability and robustness analysis for switched systems with time-varying delays
Date
2018
Authors
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Source Title
SIAM Journal on Control and Optimization
Print ISSN
0363-0129
Electronic ISSN
Publisher
Society for Industrial and Applied Mathematics Publications
Volume
56
Issue
1
Pages
158 - 182
Language
English
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Journal Title
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Volume Title
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Abstract
A new technique is presented for the stability and robustness analysis of nonlinear switched time-varying systems with uncertainties and time-varying delays. The delays are allowed to be discontinuous (but are required to be piecewise continuous) and arbitrarily long with known upper bounds. The technique uses an adaptation of Halanay’s inequality and a trajectory-based technique, and is used for designing switched controllers to stabilize linear time-varying systems with time-varying delays.