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Zbl 1157.93467
He, Yong; Wu, Min; She, Jin-Hua; Liu, Guo-Ping
Delay-dependent robust stability criteria for uncertain neutral systems with mixed delays. (English)
[J] Syst. Control Lett. 51, No. 1, 57-65 (2004). ISSN 0167-6911

Summary: This paper concerns the problem of the delay-dependent robust stability of neutral systems with mixed delays and time-varying structured uncertainties. A new method based on linear matrix inequalities is presented that makes it easy to calculate both the upper stability bounds on the delays and the free weighting matrices. Since the criteria take the sizes of the neutral- and discrete-delays into account, it is less conservative than previous methods. Numerical examples illustrate both the improvement this approach provides over previous methods and the reciprocal influences between the neutral- and discrete-delays.

MSC 2000:: *93D09 Robust stability of control systems
93C23 Systems governed by functional-differential equations

Keywords: Neutral system; Delay-dependent criteria; Robust stability; Time-varying structured uncertainties; Linear matrix inequality

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Zentralblatt MATH Berlin [Germany]