期刊
STOCHASTIC ANALYSIS AND APPLICATIONS
卷 35, 期 5, 页码 803-822出版社
TAYLOR & FRANCIS INC
DOI: 10.1080/07362994.2017.1324798
关键词
pth moment stabilization; H stability; asymptotic stability; exponential stability; feedback control based on discrete-time state observations
资金
- University of Strathclyde
- Leverhulme Trust [RF-2015-385]
- Royal Society [WM160014]
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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