Robustly exponential stabilization of hybrid uncertain systems by feedback controls based on discrete-time observations

You, Surong and Hu, Liangjian and Mao, Wei and Mao, Xuerong (2015) Robustly exponential stabilization of hybrid uncertain systems by feedback controls based on discrete-time observations. Statistics and Probability Letters, 102. pp. 8-16. (https://doi.org/10.1016/j.spl.2015.03.006)

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Abstract

This paper deals with the problem of stabilizing a hybrid stochastic system with norm bounded uncertainties. State-feedback controls based on discrete-time observations are designed in the drift and diffusion parts of the system. The controlled system will be ro- bustly exponentially stable in mean-square. Applying linear matrix inequality techniques, criteria to determine controllers and time lags are developed. One numerical example is given to verify our techniques.

ORCID iDs

You, Surong, Hu, Liangjian, Mao, Wei and Mao, Xuerong ORCID logoORCID: https://orcid.org/0000-0002-6768-9864;
CORE (COnnecting REpositories)