Robust discrete-state-feedback stabilization of hybrid stochastic systems with time-varying delay based on Razumikhin technique
Li, Yuyuan and Lu, Jianqiu and Kou, Chunhai and Mao, Xuerong and Pan, Jiafeng (2018) Robust discrete-state-feedback stabilization of hybrid stochastic systems with time-varying delay based on Razumikhin technique. Statistics and Probability Letters. ISSN 0167-7152
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Abstract
This paper deals with the robust stabilization of continuous-time hybrid stochastic systems with timevarying delay by feedback controls based on discrete-time state observations. By employing the Razumikhin technique, delay-independent criteria to determine controllers and time lags are established just under a weaker condition that the time-varying delay should be a bounded function. Meanwhile, for the nondelay system, we obtain a better bound on the duration τ between two consecutive state observations. The new theory developed in this paper improves the existing results. Numerical examples are provided to demonstrate the effectiveness of our results.
Creators(s): |
Li, Yuyuan, Lu, Jianqiu ![]() ![]() ![]() | Item type: | Article |
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ID code: | 63381 |
Keywords: | hybrid stochastic systems, time-varying delay, robust stabilization, discrete-time feedback control, Razumikhin technique, Probabilities. Mathematical statistics, Statistics and Probability |
Subjects: | Science > Mathematics > Probabilities. Mathematical statistics |
Department: | Faculty of Science > Mathematics and Statistics |
Depositing user: | Pure Administrator |
Date deposited: | 27 Feb 2018 09:49 |
Last modified: | 01 Mar 2021 01:54 |
Related URLs: | |
URI: | https://strathprints.strath.ac.uk/id/eprint/63381 |
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