Stability analysis of switched discrete-time nonlinear cascade systems with time delays

切换系统是由多个子系统和切换规则构成的，它是混杂系统中较为典型的代表。子系统分为离散子系统和连续子系统，分别用差分方程和微分方程描述。切换规则是决定子系统工作顺序的控制序列。切换系统的稳定性是系统运行的前提，对工业实际应用有着至关重要的影响。稳定性的讨论一直是学者研究的热点，近年来，在实际应用中重要的有限时间稳定也越来越受到重视。本文主要内容包括切换离散时滞非线性级联系统的指数稳定性分析和有限时间稳定分析、含不稳定子系统的切换离散时滞非线性级联系统的指数稳定性分析。具体工作如下： 首先研究了切换离散时滞非线性级联系统的指数稳定性问题。通过转换系统模型，运用多Lyapunov函数和平均驻留时间...A switched system consists of several subsystems and a switching law. It is a typical example of hybrid dynamical systems. The time variable of each subsystem is divided into discrete-time and continuous-time, which is described by some difference equations and differential equations respectively. The switching law is a control sequence which decides the sequence of each subsystem. The stability o...学位：工学硕士院系专业：航空航天学院_工程硕士(控制工程)学号：2322013115334