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A Generalized Framework of Linear Multivariable Control by Liansheng Tan

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11

A generalized chain-scattering representation and its algebraic system properties

Abstract

This chapter presents a generalization of the chain-scattering representation to the case of general plants. Through the notion of input-output consistency, the conditions under which the generalized chain-scattering representation (GCSR) and the dual-generalized chain-scattering representation (DGCSR) exist are proposed. The generalized chain-scattering matrices are formulated into a general parameterized form by using the generalized inverse of matrices. Some algebraic system properties, such as the cascade structure property, the symmetry (duality) of the GCSRs and DGCSRs, are studied.

Keywords

Integrated circuit interconnections; Circuit analysis; ...

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