具有时滞的线性时变区间系统的鲁棒稳定及鲁棒稳定化

Robust Stability and Stabilization for Linear Interval Time-Varying Systems with Time Delay

考虑一类具有时滞的线性时变区间系统的鲁棒稳定及鲁棒稳定化问题 .利用矩阵测度及时滞积分不等式 ,得到了它们的判定条件 .此外 ,在相同条件下 ,讨论了该类系统的BIBO稳定性 ,最后举二例说明本文结果的有效性 .

In this paper, the matrix measure and the delay integral inequality have been used to deduce sufficient conditions of robust stability and stabilization for a class of linear interval time-varying systems with time delay. In addition, the sufficient conditions prove the existence of its bounded-input and bounded-output(BIBO)stability. The result of this paper has been demonstrated by two examples.