控制理论(社会学)
数学
指数稳定性
控制器(灌溉)
指数函数
离散时间和连续时间
全状态反馈
班级(哲学)
国家(计算机科学)
李雅普诺夫函数
应用数学
数学优化
计算机科学
控制(管理)
数学分析
算法
非线性系统
统计
物理
量子力学
人工智能
农学
生物
作者
Zidong Wang,Yurong Liu,Xiaohui Liu
出处
期刊:IEEE Transactions on Automatic Control
[Institute of Electrical and Electronics Engineers]
日期:2010-07-01
卷期号:55 (7): 1656-1662
被引量:267
标识
DOI:10.1109/tac.2010.2046114
摘要
In this technical note, the globally exponential stabilization problem is investigated for a general class of stochastic systems with both Markovian jumping parameters and mixed time-delays. The mixed mode-dependent time-delays consist of both discrete and distributed delays. We aim to design a memoryless state feedback controller such that the closed-loop system is stochastically exponentially stable in the mean square sense. First, by introducing a new Lyapunov-Krasovskii functional that accounts for the mode-dependent mixed delays, stochastic analysis is conducted in order to derive a criterion for the exponential stabilizability problem. Then, a variation of such a criterion is developed to facilitate the controller design by using the linear matrix inequality (LMI) approach. Finally, it is shown that the desired state feedback controller can be characterized explicitly in terms of the solution to a set of LMIs. Numerical simulation is carried out to demonstrate the effectiveness of the proposed methods.
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