A generalized chain-scattering representation and its algebraic system properties

This paper presents a generalization of the chain-scattering representation to the case of general plants. Through the notion of input-output consiste ncy, the conditions under which the generalized chain-scattering representa tion (GCSR) and the dual-generalized chain-scattering representation (DGCSR ) exist are proposed. The generalized chain-scattering matrices are formula ted into a general parameterized form by using the generalized inverse of m atrices, Some algebraic system properties, such as the cascade structure pr operty, the symmetry (duality) of the GCSR's and DGCSR's, are studied.