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.

    Author(s):Li, Yuyuan, Lu, Jianqiu ORCID logoORCID: https://orcid.org/0000-0001-6720-2748, Kou, Chunhai, Mao, Xuerong ORCID logoORCID: https://orcid.org/0000-0002-6768-9864 and Pan, Jiafeng ORCID logoORCID: https://orcid.org/0000-0001-5993-3209
    Item type:Article
    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:17 Nov 2019 01:46
    Related URLs:
    URI:https://strathprints.strath.ac.uk/id/eprint/63381
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