Stabilization of Discrete-Time Time-Varying Systems Subject to Unbounded Distributed Input Delays
研究了两类受无界分布式输入时滞影响的离散线性时变系统的镇定问题，分别构建了截断预测反馈律和预测型反馈律，并证明了闭环系统的全局指数稳定性。
The stabilization problem of two categories of discrete-time linear time-varying (LTV) systems subject to unbounded distributed input delays is investigated in this article. A truncated predictor feedback law is first built for a category of systems under some common assumptions. Then, under some weakened assumptions, a predictor-type feedback law is developed for the other category of more general systems. The global exponential stability of the closed-loop systems is proved. Furthermore, the result on the truncated predictor feedback control law includes many existing results on LTV systems subject to bounded input delays and linear time-invariant (LTI) systems subject to unbounded input delays as special cases. Finally, the results of simulations validate the effectiveness of the developed control laws.