Robust discrete-state-feedback stabilization of hybrid stochastic systems with time-varying delay based on Razumikhin technique

Yuyuan Li, Jianqiu Lu, Chunhai Kou, Xuerong Mao, Jiafeng Pan

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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.
Original languageEnglish
Number of pages13
JournalStatistics and Probability Letters
Early online date27 Mar 2018
DOIs
Publication statusE-pub ahead of print - 27 Mar 2018

Fingerprint

Razumikhin Technique
Feedback Stabilization
Time-varying Delay
Hybrid Systems
State Feedback
Stochastic Systems
Robust Stabilization
Time Lag
Feedback Control
Continuous Time
Consecutive
Discrete-time
Controller
Numerical Examples
Demonstrate
Observation
Stabilization
Time-varying delay
Stochastic systems
Continuous time

Keywords

  • hybrid stochastic systems
  • time-varying delay
  • robust stabilization
  • discrete-time feedback control
  • Razumikhin technique

Cite this

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AU - Lu, Jianqiu

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AU - Mao, Xuerong

AU - Pan, Jiafeng

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AB - 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.

KW - hybrid stochastic systems

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