A Period-Specific Realization of Linear Continuous-Time Systems

Abstract It is a well-known fact that a weighting pattern matrix is realizable as a linear periodic system if and only if the matrix is separable and periodic. This fact, however, can not cope with a reasonable question when a weighting pattern matrix can be realized as a linear periodic system with a specific period of time. This paper answers the question by constructing two types of period-specific realizations. Moreover, this paper describes in detail how the lowest dimension of period-specific realizations is identified.