On pth moment stabilization of hybrid systems by discrete-time feedback control |
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Authors: | Ran Dong Xuerong Mao |
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Institution: | 1. Department of Mathematics and Statistics, University of Strathclyde, Glasgow, United Kingdomr.dong@strath.ac.uk;3. Department of Mathematics and Statistics, University of Strathclyde, Glasgow, United Kingdom |
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Abstract: | Since Mao initiated the study of stabilization of continuous-time hybrid stochastic differential equations (SDEs) by feedback controls based on discrete-time state observations in 2013, many authors have further studied and developed it. However, so far no work on the pth moment stabilization has been reported. This paper is to investigate how to stabilize a given unstable hybrid SDE by feedback controls based on discrete-time state observations, in the sense of H∞, asymptotic and exponential stability in pth moment for all p > 1. The main techniques used are constructions of the Lyapunov functionals and generalizations of inequalities. |
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Keywords: | pth moment stabilization H∞ stability asymptotic stability exponential stability feedback control based on discrete-time state observations |
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