摘要
研究了一类不确定时滞切换系统的H∞意义下渐近稳定性问题.利用李雅普诺夫函数和凸组合技术及LMI方法,给出了这类系统切换策略的设计方案和在扰动输入w(t)为零的前提下渐近稳定充分条件以及w(t)为非零时具有H∞抗扰动衰减度γ.
In this paper,the problem of H_∞ asymptotic stability for a class of uncertain time-delay switched systems is studied.By using Lyapunov function and convex combination technique and LMI (linear matrix inequality) method,a switching law of this class of systems is designed to make the systems be asymptotically stable.A sufficient condition of asymptotic stability is obtained when disturbance equals zero.The systems have performance of H_∞ anti-disturbance attenuation when disturbance doesn′t equal zero.
出处
《沈阳师范大学学报（自然科学版）》
CAS
2005年第2期116-119,共4页
Journal of Shenyang Normal University:Natural Science Edition
基金
沈阳师范大学博士启动基金资助项目(054-554405-01).
关键词
不确定时滞切换系统
李雅普诺夫函数
凸组合
渐近稳定
uncertain time-delay switched systems
Lyapunov function
convex combination
asymptotic stability
