REALIZATION THEORY IN BANACH SMCE FOR OPERATOR-VALUED WEIGHTING PATTERNS
算子值加权模式在Banach空间的实现理论

This paper deals with linear continuous-time systems that can be realized on Banach spaces. The input, output and state spaces here are all infinite-dimensional Banach spaces. We prove that a weighting pattern has a Banach space realization if and only if it is strongly continuous and of exponential order. An existence theorem of the Banach space realizations when the state operators are the infinitesimal generators of analytic semigroups is obtained. All the theorems are given in the time domain.