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Delay-dependent robust stability criteria for uncertain neutral systems with mixed delays
Authors:Yong He  Min Wu  Jin-Hua She  Guo-Ping Liu  
Affiliation:a School of Information Science and Engineering, Central South University, Changsha 410083, China;b Department of Mechatronics, School of Engineering, Tokyo University of Technology, Tokyo 192-0982, Japan;c School of Mechanical, Materials, Manufacturing Engineering and Management, University of Nottingham, Nottingham NG7 2RD, UK;d Institute of Automation, Chinese Academy of Sciences, Beijing 100080, China
Abstract:This paper concerns the problem of the delay-dependent robust stability of neutral systems with mixed delays and time-varying structured uncertainties. A new method based on linear matrix inequalities is presented that makes it easy to calculate both the upper stability bounds on the delays and the free weighting matrices. Since the criteria take the sizes of the neutral- and discrete-delays into account, it is less conservative than previous methods. Numerical examples illustrate both the improvement this approach provides over previous methods and the reciprocal influences between the neutral- and discrete-delays.
Keywords:Neutral system  Delay-dependent criteria  Robust stability  Time-varying structured uncertainties  Linear matrix inequality
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