On stabilization of bilinear uncertain time-delay stochastic systems with Markovian jumping parameters
文献类型：期刊论文
| 作者 | Wang, Zidong; Qiao, Hong ; Burnham, KJ
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| 刊名 | IEEE TRANSACTIONS ON AUTOMATIC CONTROL
 |
| 出版日期 | 2002-04 |
| 卷号 | 47期号:4页码:640-646 |
| 关键词 | H-INFINITY-CONTROL LINEAR-SYSTEMS OBSERVER DESIGN STABILITY STABILIZABILITY EQUATIONS |
| 通讯作者 | Wang, ZD |
| 英文摘要 | In this note, we Investigate the stochastic stabilization problem for a class of bilinear continuous time-delay uncertain systems with Markovian jumping parameters. Specifically, the stochastic bilinear jump system under study involves unknown state time-delay, parameter uncertainties, and unknown nonlinear deterministic disturbances. The jumping parameters considered here form a continuous-time discrete-state homogeneous Markov process. The whole system may be regarded as a stochastic bilinear hybrid system that includes both time-evolving and event-driven mechanisms. Our attention Is focused on the design of a robust state-feedback controller such that, for all admissible uncertainties as well as nonlinear disturbances, the closed-loop system is stochastically exponentially stable in the mean square, independent of the time delay. Sufficient conditions are established to guarantee the existence of desired robust controllers, which are given in terms of the solutions to a set of either linear matrix inequalities (LMIs), or coupled quadratic matrix inequalities. The developed theory is illustrated by numerical simulation. |
| 源URL | [http://ir.ia.ac.cn/handle/173211/12574]  |
| 专题 | 自动化研究所_复杂系统管理与控制国家重点实验室_机器人应用与理论组 |
| 作者单位 | Coventry Univ, Sch Math & Informat Sci, Control Theory & Applicat Ctr |
| 推荐引用方式 GB/T 7714 | Wang, Zidong,Qiao, Hong,Burnham, KJ. On stabilization of bilinear uncertain time-delay stochastic systems with Markovian jumping parameters[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL,2002,47(4):640-646. |
| APA | Wang, Zidong,Qiao, Hong,&Burnham, KJ.(2002).On stabilization of bilinear uncertain time-delay stochastic systems with Markovian jumping parameters.IEEE TRANSACTIONS ON AUTOMATIC CONTROL,47(4),640-646. |
| MLA | Wang, Zidong,et al."On stabilization of bilinear uncertain time-delay stochastic systems with Markovian jumping parameters".IEEE TRANSACTIONS ON AUTOMATIC CONTROL 47.4(2002):640-646. |
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来源：自动化研究所
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