利用输入-状态稳定性(ISS)李雅普诺夫函数法,研究了非线性脉冲混合系统无外部输入时的指数稳定性,导出了具有外部输入时系统满足ISS的充分条件,从而给出了非线性脉冲混合系统的指数ISS的判据,并通过数值仿真验证了判据的有效性。
By means of the ISS (input-state stability)-Lyapunov function method, studies the exponential stability of the nonlinear impulsive hybrid system without external input, derives sufficient conditions of the system for the ISS with input, and provides the exponential ISS criteria for the nonlinear impulsive hybrid system. By numerical simulation verifies the effectiveness of the criteria.