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中文摘要：
考虑由单输入-单输出线性子系统构成的切换系统，通过解析方法设计输出反馈控制，使闭环子系统具有公共二次Lyapunov函数．基于可解Lie代数条件及广义Sylvester方程的通解，利用特征结构配置方法建立了反馈控制的存在性准则，并由此给出了控制器的设计形式．仿真算例实现了设计过程并验证了方法的有效性．
英文摘要：
This note is concerned with the switched systems consisting of single input-single output linear subsystems. The problem is to construct output feedback control analytically and make the closed-loop subsystems share a common quadratic Lyapunov function. Based on solvable Lie algebra condition and the complete form of the solution to generalized Sylvester equation, the eigenstructure assignment approach is proposed to establish the existent criterion of feedback control, through which the controller is explicitly formulated. A numerical example is worked out in detail to demonstrate the proposed method.
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