Delay-dependent BIBO stability analysis of switched uncertain neutral systems |
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Authors: | Liang-Lin Xiong Shou-Ming Zhong Mao Ye |
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Institution: | 1. School of Mathematics and Computer Science, Yunnan University of Nationalities, Kunming, Yunnan, 650031, PR China;2. Key Laboratory for NeuroInformation of Ministry of Education, University of Electronic Science and Technology of China, Chengdu 610054, PR China;3. School of Computer Science and Engineering, University of Electronic Science and Technology of China, Chengdu 610054, PR China |
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Abstract: | 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 in this paper. |
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