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Zbl 1198.93187
Xiong, Lianglin; Zhong, Shouming; Ye, Mao; Wu, Shiliang
New stability and stabilization for switched neutral control systems. (English)
[J] Chaos Solitons Fractals 42, No. 3, 1800-1811 (2009). ISSN 0960-0779

Summary: This paper concerns stability and stabilization issues for switched neutral systems and presents new classes of piecewise Lyapunov functionals and multiple Lyapunov functionals, based on which, two new switching rules are introduced to stabilize the neutral systems. One switching rule is designed from the solution of the so-called Lyapunov-Metzler linear matrix inequalities. The other is based on the determination of average dwell time computed from a new class of linear matrix inequalities (LMIs). And then, state-feedback control is derived for the switched neutral control system mainly based on the state switching rules. Finally, three examples are given to demonstrate the effectiveness of the proposed method. \par Editorial remark: There are doubts about a proper peer-reviewing procedure of this journal. The editor-in-chief has retired, but, according to a statement of the publisher, articles accepted under his guidance are published without additional control.

MSC 2000:: *93D15 Stabilization of systems by feedback
34K20 Stability theory of functional-differential equations
34K40 Neutral equations
93C23 Systems governed by functional-differential equations
93C30 Control systems governed by other functional relations

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Zentralblatt MATH Berlin [Germany]