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Criteria for robust stability and stabilization of uncertain linear systems with state delay
Affiliation:1. School of Mathematics and Statistics, Shandong Normal University, Ji’nan 250014, PR China;2. Department of Mathematics, Hangzhou Normal University, Hangzhou, Zhejiang 310036, PR China;3. Department of Mathematics, Bharathiar University, Coimbatore, Tamilnadu 641046, India;1. Key Laboratory of Advanced Process Control for Light Industry (Ministry of Education), School of Internet of Things Engineering, Jiangnan University, Wuxi 214122, PR China;2. Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia;3. Department of Mathematics, Quaid-I-Azam University, Islamabad 44000, Pakistan;1. College of Mathematics and Information and Engineering, Jiaxing University, Zhejiang 314001, PR China;2. College of Mechanical and Electrical Engineering, Jiaxing University, Zhejiang 314001, PR China;3. Department of Computer Science and Engineering, Shaoxing University, Zhejiang 314001, PR China
Abstract:This paper deals with the problem of robust stability analysis and robust stabilization for a class of uncertain linear systems with a time-varying state delay. The uncertainty is assumed to be norm-bounded and appears in all the matrices of the state-space model. We develop delay-dependent methods for robust stability analysis and robust stabilization via linear memoryless state feedback. The proposed methods are given in terms of linear matrix inequalities.
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