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Stability analysis of several class of switched systems

Abstract

切换系统是一类重要并具有代表意义的混杂系统,切换系统的研究也随着混杂系统的研究而逐步深入进行。切换系统一般是由一族子系统和描述它们之间联系的切换规则组成。每个子系统对应着离散变量的一种取值,子系统之间的切换表示离散事件动态,因此可把切换系统看成一类将离散变量描述进行合理简化的混杂系统。切换系统的稳定性分析是切换系统研究的主要内容之一,本文研究了若干类切换系统的稳定性问题。 本文利用Lyapunov稳定性理论和线性矩阵不等式(LinearMatrixInequalities)以及平均驻留时间等方法,分别研究了一类不确定级联切换系统的稳定性、具有扰动或滞后摄动的离散线性切换系统的稳定性和一类包含...Switched system is an important and representative class of hybrid systems, the research of switched system is also expanded with the hybrid systems’ research. Switched system is generally described by a family of subsystems and switching rules. Each subsystem corresponds to a value of the discrete variables, switching between subsystems represents discrete event dynamic. Hence switched systems ca...学位:工学硕士院系专业:信息科学与技术学院_控制理论与控制工程学号:2322010115323

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