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Separability of Linear Continuous Fading Memory Systems
线性连续衰退记忆系统的可分性

Keywords: Fading memory,asymptotically periodic,asymptotically strong periodic
衰退记忆
,渐近周期,渐近强周期

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Abstract:

Motivated by problems from approximate modeling and identification,we con- sider various classes of linear continuous time-varying bounded input-bounded output(BIBO) stable fading memory systems.These include fading memory systems,in general,almost pe- riodic systems,asymptotically periodic systems and asymptotically strong periodic systems. And we find that asymptotically strong periodic systems are the only separable subspace of LTV systems.

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