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Zbl 1202.93105
Yin, Chun; Zhong, Shou-Ming; Chen, Wu-Fan
On delay-dependent robust stability of a class of uncertain mixed neutral and Lur'e dynamical systems with interval time-varying delays. (English)
[J] J. Franklin Inst. 347, No. 9, 1623-1642 (2010). ISSN 0016-0032; ISSN 1879-2693/e

Summary: This paper deals with the problem of a new delay-dependent robust stability criteria for a class of mixed neutral and Lur'e systems. The system has time-varying uncertainties, interval time-varying delays and sector-bounded nonlinearity. The proposed method is based on Lyapunov method, a delay-dependent criterion for asymptotic stability is established in terms of linear matrix inequality. Numerical examples show the effectiveness of the proposed method.

MSC 2000:: *93D09 Robust stability of control systems
93D20 Asymptotic stability of control systems
93C10 Nonlinear control systems
34H05 ODE in connection with control problems

Keywords: delay-dependent robust stability; mixed neutral and Lur'e systems; Lyapunov method; asymptotic stability; linear matrix inequality

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