Stability of Nonlinear Delayed Systems With Logically Selected Impulses
研究了一类具有逻辑选择脉冲的非线性时滞系统的全局指数稳定性，基于矩阵半张量积给出了充分条件，并设计了确定脉冲信号的逻辑动力系统算法。
This article investigates the global exponential stability of the nonlinear delayed systems with logically selected impulses. First, the mathematical model for a new kind of hybrid systems is proposed. Based on the semi-tensor product of matrices, several sufficient conditions for globally exponential stability are derived. The impulsive switching signals are generated by two types of logical dynamical systems of addressed systems. To be specific, one signal is given in advance, and the other one is determined by some impulsive cycle sequences. An algorithm is developed to design logical dynamical systems for determining impulsive signals. The effectiveness of the main results is verified by two examples.