On pth moment stabilization of hybrid systems by discrete-time feedback control

被引：12
|
作者：
Dong, Ran [1 ]
Mao, Xuerong [1 ]
机构：
[1] Univ Strathclyde, Dept Math & Stat, Glasgow G1 1XH, Lanark, Scotland
来源：
STOCHASTIC ANALYSIS AND APPLICATIONS | 2017年 / 35卷 / 05期
关键词：
pth moment stabilization; H stability; asymptotic stability; exponential stability; feedback control based on discrete-time state observations; STOCHASTIC DIFFERENTIAL-EQUATIONS; DELAY EQUATIONS; VARYING DELAYS; EXPONENTIAL STABILITY; STATE OBSERVATIONS; ROBUST STABILITY; OUTPUT-FEEDBACK; NEURAL-NETWORKS; LINEAR-SYSTEMS; INPUT DELAY;
D O I：
10.1080/07362994.2017.1324798
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：803 / 822
页数：20
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