一类无界时滞线性系统的鲁棒稳定性

时滞往往是造成系统不稳定的主要原因。如何确保在有时滞的情况下系统是稳定的，是控制系统设计的基本问题．目前很多学者研究的是带有常时滞和有界变时滞的控制系统的稳定性，对大时滞和无界时滞研究的尚不多见，而在实际应用中，大时滞是广泛存在的．本文应用Lyapunov函数方法讨论了一类无界时滞的线性系统的鲁棒稳定性，得到线性区间系统和线性系统鲁棒稳定的充分条件，在定理结论中，时滞可为无界函数。文末用例子说明此方法的有效性．

Robust Stability for a Kind of Linear System with Boundless Time-delay

Time-delay always exists in real control systems and leads to unstability. how to keep the systems stable with the time-delay is the basic subject in control system design. Many researchers have presented the stability criteria of systems with constant delay or bound varying time-delay by now,but few on large time-delay or boundless time-delay. However,on many applications there is large time-delay widely. In this paper, the method of Lyapunov function is used to discuss the robust stability of linear systems with boundless time-delay. Some sufficient conditions of asymptotic stability for linear interval systems and linear systems are obtained. Time-delay in the conclusion may be boundless functions. An example is given to illustrate the results presented in this paper.