Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/70644
Title: Interconnection of the Kronecker form and special coordinate basis of general multivariable linear systems
Authors: Chen, B.M. 
Liu, X.
Lin, Z.
Keywords: Kronecker canonical form
Singular systems
Smith form
Issue Date: 2005
Source: Chen, B.M.,Liu, X.,Lin, Z. (2005). Interconnection of the Kronecker form and special coordinate basis of general multivariable linear systems. IFAC Proceedings Volumes (IFAC-PapersOnline) 16 : 113-118. ScholarBank@NUS Repository.
Abstract: This paper establishes a straightforward interconnection between the Kronecker canonical form and the special coordinate basis of linear systems. Such an interconnection enables the computation of the Kronecker canonical form, and as a by-product, the Smith form, of the system matrix of general multivariable time-invariant linear systems. The overall procedure involves the transformation of a given system in the state-space description into the special coordinate basis, which is capable of explicitly displaying all the system structural properties, such as finite and infinite zero structures, as well as system invertibility structures. The computation of the Kronecker canonical form and Smith form of the system matrix is rather simple and straightforward once the given system is put under the special coordinate basis. The procedure is applicable to proper systems and singular systems. Copyright © 2005 IFAC.
Source Title: IFAC Proceedings Volumes (IFAC-PapersOnline)
URI: http://scholarbank.nus.edu.sg/handle/10635/70644
ISBN: 008045108X
ISSN: 14746670
Appears in Collections:Staff Publications

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