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Piecewise Lyapunov functions for robust stability of linear time-varying systems

✍ Scribed by Lin Xie; Serge Shishkin; Minyue Fu

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
384 KB
Volume
31
Category
Article
ISSN
0167-6911

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✦ Synopsis

In this paper, we investigate the use of two-term piecewise quadratic Lyapunov functions for robust stability of linear time-varying systems By using the so-called S-procedure and a special variable reduction method, we provide numerically efficient conditions for the robust asymptotic stability of the linear time-varying systems involving the convex combinations of two matrices. An example is included to demonstrate the usefulness of our results.

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