Title :
A generalized chain-scattering representation and its algebraic system properties
Author :
Pugh, A.C. ; Tan, Liansheng
Author_Institution :
Dept. of Math. Sci., Loughborough Univ. of Technol., UK
fDate :
5/1/2000 12:00:00 AM
Abstract :
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 GCSR´s and DGCSR´s, are studied
Keywords :
H∞ control; matrix inversion; symmetry; algebraic system properties; cascade structure property; dual-generalized chain-scattering representation; general plants; generalized chain-scattering representation; generalized inverse; input-output consistency; symmetry; Circuit analysis; Circuit synthesis; Control systems; Control theory; Equations; Feedback; Integrated circuit interconnections; Network synthesis; Transfer functions;
Journal_Title :
Automatic Control, IEEE Transactions on
