A generalized chain-scattering representation and its algebraic system properties

نویسندگان

  • A. Clive Pugh
  • Liansheng Tan
چکیده

This paper 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 generalised chain-scattering representation (GCSR) and the dual generalised chain-scattering representation (DGCSR) exist are proposed. The generalised chainscattering matrices are formulated into a general parameterised form by using the generalised inverse of matrices. Some algebraic system properties such as the cascade structure property, the symmetry (duality) of the GCSRs and DGCSRs are studied. Corresponding Author: Telephone: Telefax: E-mail: Dr. A. C. Pugh Department of Mathematical Sciences Loughborough University Leicestershire, LE11 3TU, UK +44 (0)1509 223190 +44 (0)1509 211869 [email protected]

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عنوان ژورنال:
  • IEEE Trans. Automat. Contr.

دوره 45  شماره 

صفحات  -

تاریخ انتشار 2000