Practical stability of continuous-time stochastic nonlinear system via event-triggered feedback control |
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| Affiliation: | 1. School of Automation, Harbin University of Science and Technology, Harbin 150080, China;2. Heilongjiang Provincial Key Laboratory of Optimization Control and Intelligent Analysis for Complex Systems, Harbin University of Science and Technology, Harbin 150080, China;3. Department of Mathematics, Harbin University of Science and Technology, Harbin 150080, China;4. School of Basic Education, Beijing Institute of Graphic Communication, Beijing 102600, China;1. Research Institute of Intelligent Control and Systems, Harbin Institute of Technology, Harbin, Heilongjiang 150001, China;2. Commercial Vehicle Institute Electronic Control System Department, FAW JIEFANG, Chuangye street 1063, Changchun, Jilin 130011, China;1. School of Science, Tianjin University of Technology and Education, Tianjin 300222, China;2. College of Artificial Intelligence, Nankai University, Tianjin 300350, China |
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| Abstract: | This paper develops new practical stability criteria for continuous-time stochastic nonlinear system with uncertainties and external disturbances. Two cases of the system are considered: the system with state-dependent disturbance and the system with state-independent disturbance. Based on the event-triggered mechanism and Lyapunov function, we establish the input-to-state practical exponential stability in mean square for each case of the system. The obtained results improve some previous works in the literature. Finally, several examples are given to show the effectiveness and practicability of the main results. |
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