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Zbl 1117.93062
Zhang, Yuping; Liu, Xinzhi; Zhu, Hong; Zhong, Shouming
Stability analysis and control synthesis for a class of switched neutral systems. (English)
[J] Appl. Math. Comput. 190, No. 2, 1258-1266 (2007). ISSN 0096-3003

Summary: The problems of asymptotical stability and stabilization of a class of switched neutral control systems are investigated. A delay-dependent stability criterion is formulated in term of linear matrix inequalities (LMIs) by using quadratic Lyapunov functions and inequality analysis technique. The corresponding switching rule is obtained through dividing the state space properly. Also, the synthesis of stabilizing state-feedback controllers are done such that the close-loop system is asymptotically stable. Two numerical examples are given to show the proposed method.

MSC 2000:: *93D20 Asymptotic stability of control systems
93D30 Scalar and vector Lyapunov functions
34K40 Neutral equations
93C15 Control systems governed by ODE
93C05 Linear control systems

Keywords: Switched systems; neutral systems; asymptotical stability; Lyapunov functional; linear matrix inequality (LMI)

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