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Zbl 1219.93113
Xiong, Liang-Lin; Zhong, Shou-Ming; Ye, Mao
Delay-dependent BIBO stability analysis of switched uncertain neutral systems. (English)
[J] Math. Comput. Modelling 53, No. 9-10, 1607-1620 (2011). ISSN 0895-7177

Summary: This paper presents the analysis of delay-dependent bounded input bounded output (BIBO) stability for a class of switched uncertain neutral systems. The uncertainty is assumed to be of structured linear fractional form which includes the norm-bounded uncertainty as a special case. First, by introducing the general variation-of-constants formula of neutral systems with perturbation, the BIBO stability property of general linear switched neutral systems with perturbation is established. Next, combining the general variation-of-constants formula with the state-dependent switching rule, new approaches are presented to design the feedback controller and the switching rules. Furthermore, the BIBO stability criteria are obtained in terms of the so-called Lyapunov-Metzler linear matrix inequalities (LMIs). Finally, simulation examples are given to demonstrate the effectiveness and the potential of the proposed techniques.

MSC 2000:: *93D25 Input-output approaches to stability of control systems
93D15 Stabilization of systems by feedback
34K20 Stability theory of functional-differential equations
92E20 Chemical flows, reactions, etc.
93C30 Control systems governed by other functional relations

Keywords: delay-dependent BIBO stability; switched neutral systems; state-dependent switching rule

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Zentralblatt MATH Berlin [Germany]