Improved stability theorems of random nonlinear time delay systems and their application |
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| Institution: | 1. The Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin 150001, China;2. Peng Cheng Laboratory, Shenzhen 518055, China;3. Ningbo Institute of Intelligent Equipment Technology Co., Ltd., Ningbo 315201, China;4. The Department of Control Science and Engineering, Harbin Institute of Technology, Harbin 150001, China;1. School of Transportation Science and Engineering, Beihang University, Beijing 100083, PR China;2. Department of Mathematics, Beijing Jiaotong University, Beijing 100044, PR China;3. Texas A & M University at Qatar, Doha 23874, Qatar;1. School of Information Engineering, Henan University of Science and Technology, Luoyang 471023, China;2. School of Aeronautics and Astronautics, Sichuan University, Chengdu 610207, China;3. School of Electrical Engineering, Southwest Jiaotong University, Chengdu 610031, China |
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| Abstract: | This paper focuses on stability theorems of random nonlinear time delay systems and their application. On the one hand, some noise-to-state practical stability theorems are improved for random nonlinear systems with time delay in this paper. Compared with the existing stability theorems, some strict constraints have been removed and the existing stability theorems can be viewed as special cases of the new established stability theorems in this paper. On the other hand, the state feedback tracking control problem is investigated to show the applicability of improved stability theorems in this paper. |
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