时滞项带无界算子的变小时滞抽象微分方程的鲁棒稳定性  

Robust Stability for Abstract Differential Equation with Small Time-varied Delay and Unbounded Operator in the Delay Term

作　　者：胡燕[1] 黄发伦[2] 

机构地区：[1]成都信息工程学院计算科学系,成都610041 [2]四川大学数学学院,成都610064

出　　处：《四川大学学报（自然科学版）》2003年第4期655-661,共7页Journal of Sichuan University(Natural Science Edition)

摘　　要：就A在一般Banach空间X中生成解析半群,B是(λ0-A)a 有界(0<α<1)的情况,在连续函数相空间C(-r,0;D((λ0-A)α))中,建立了线性系统对变小时滞的鲁棒稳定性结果,从而对常时滞的一些基本结果做了本质的改进.The authors study the wellposedness and robustness of the system with small timevaried delay in a specific condition.The authors have not only obtained robustness with respect to small timevaried delays for exponential stability of the system, but also made some essential improvement to the result of the condition that the delay is constant.

关 键 词：C0-半群 解析半群 (λ0-A)^α-有界 小时滞鲁棒稳定性 指数稳定性 

分 类 号：O175.15[理学—数学]