时滞切换系统指数稳定性分析：微分不等式方法  

On exponential stability of switched systems with time-delays:differential inequality approach

作　　者：丛屾[1] 费树岷[2] 李涛[2] 

机构地区：[1]南京理工大学自动化学院,南京江苏210094 [2]东南大学自动化研究所,南京江苏210096

出　　处：《控制理论与应用》2008年第3期521-524,共4页Control Theory & Applications

基　　金：国家自然科学基金(60574066)．

摘　　要：考虑由多个时滞系统组成的切换系统,并研究在什么条件下,可以把无时滞切换系统的稳定性分析及结论推广至上述的时滞系统.方法是将时滞项作为线性常微分方程扰动项,利用常数变易公式与Halanay微分不等式,分析时滞项对于切换系统稳定性的影响.结论表明,在时滞项满足某些前提时,切换系统稳定性分析的Lyapunov方法仍然适用.仿真算例验证了方法的有效性.The switched system consisting of a family of subsystems with time-delays is considered. Our problem is to find the proper conditions, under which the methods and results in the stability studying of a switched system without time-delays can be generalized to the above system with time-delays. We treat the time-delay term as the perturbation of a linear ordinary differential equation, and exploit the variation-of-constants formula and Halanay differential inequality. The obtained results imply that the Lyapunov approach is still applicable for the stability analysis of switched systems with time-delays in some prescribed conditions. Finally, examples are given to demonstrate the proposed approach.

关 键 词：切换系统 时滞 指数稳定性 Halanay不等式 

分 类 号：TP11[自动化与计算机技术—控制理论与控制工程]