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.

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