Coprime Factorization for Linear Time-Varying Systems

P. Khargonekar, M. Rotea
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引用次数: 14

Abstract

New results on coprime factorizations for continuous-time linear time-varying systems are presented. It is shown that a linear time-varying system admits a coprime factorization if and only if it is stabilizable and detectable, or if and only if it is internally stabilizable via dynamic output feedback. State-space formulae for coprime factorizations are given.
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线性时变系统的素数分解
给出了连续线性时变系统的素数分解的新结果。证明了当且仅当线性时变系统是可稳定且可检测的,或当且仅当它通过动态输出反馈是内部可稳定的时,系统允许素数分解。给出了素质分解的状态空间公式。
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