含分布时滞的退化系统的动态反馈镇定  

Dynamical Feedback Stabilization for Degenerate Systems with Discrete Delays

作　　者：方园[1] 蒋威[1] 

机构地区：[1]安徽大学数学科学学院,安徽合肥230039

出　　处：《阴山学刊（自然科学版）》2010年第4期8-11,共4页Yinshan Academic Journal(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10771001);教育部博士学科点专项科研基金项目(20093401110001);安徽省高校自然科学研究重大项目(KJ2010ZD02)

摘　　要：针对一类含有分布时滞的线性退化系统,研究其稳定性以及反馈控制器的设计问题.首先基于闭环系统的中立型模型变换,然后利用descriptor form方法,再通过依赖于时滞参数的Lyapunov-Krasovskii泛函的设计,得到了此类系统渐近稳定的充分条件,并以线性矩阵不等式(LMI)的形式给出了结果,随之将控制器的设计问题转化成了LMI求可行解问题,使得控制器参数易于求解,最后通过数值例子验证了结论的有效性和可行性.This paper discusses stabilization and designer of feedback controller for a type of delay degenerate systems with distributed delays.Firstly,Based on the model transformation of neutral type for closed-loop systems,and the method of descriptor form,sufficient conditions of stabilization for these problems are obtained via the parameter-dependent Lyapunov-Krasovskii function,the conclusion is derived in terms of the linear matrix inequality.Then,the designer of controller will be transformed to the feasible solution of LMI so that the designer＇s parameter is easy to obtained.At last,numerical examples illustrate the efficiency and feasibility of the result.

关 键 词：退化 时滞 动态反馈 LYAPUNOV-KRASOVSKII 镇定 

分 类 号：O175[理学—数学]