【摘要】 <正> 关于无穷维线性系统的可控性、可观测性和可稳性,文章[1]、[2]、[3]已分别作了研究。本文仅就系统的可辨识性,作类似的探讨。考虑时变参数线性系统,首先应用Hilbert子空间的稠密性质,导出线性系统可辨识的充要条件;后用不变了空间的性更多还原

【Abstract】 In this paper we consider several conditions of identifiability for infinite dimensional. First using the properties of dense subspace of Hilbert space, we derive a necessary and sufficient condition for idcntifiability of infinite dimensional linear system. Next using the properties of invariant subspace, we derive a necessary and sufficient condition when the system is unidentifiable. Finally nsing the canonical decomposition of strongly continuous(Co) contraction semigroup on a Hilbert space H, we derive a sufficient condition for identifiability.更多还原