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

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.