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

[thumbnail of Li-etal-SPL-2018-Robust-discrete-state-feedback-stabilization-of-hybrid-stochastic-systems]
Preview
Text (Li-etal-SPL-2018-Robust-discrete-state-feedback-stabilization-of-hybrid-stochastic-systems)
Li_etal_SPL_2018_Robust_discrete_state_feedback_stabilization_of_hybrid_stochastic_systems.pdf
Accepted Author Manuscript
License: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 logo

Download (268kB)| Preview

    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.

    ORCID iDs

    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;