NDLI: A new balanced canonical form for stable multivariable systems

Content Provider	IEEE Xplore Digital Library
Author	Hanzon, B.
Copyright Year	1963
Abstract	A new balanced canonical form is presented for stable multivariable linear systems. Overlapping continuous block-balanced canonical forms were introduced by Hanson-Ober for the stable single-input/single-output (SISO) case as a generalisation of the balanced canonical form introduced by Ober (1987) for the SISO case. In the search for a generalization of these results to the multivariable case a new multivariable balanced canonical form was discovered, which is of interest in its own right and is presented in this paper. The new canonical form has a number of nice properties. The integer invariants that appear in the canonical form are the multiplicities of the Hankel singular values and a number of new invariants, which are in one-to-one objective correspondence with the Kronecker indexes of subsystems. Truncation of the state vector leads to stable minimal models in canonical form. In the SISO case the canonical form coincides with Ober's balanced canonical form. The reachability matrix of a system in canonical form with identical singular values is positive upper triangular.<>
Sponsorship	IEEE Control Systems Society
Starting Page	374
Ending Page	378
Page Count	5
File Size	537835
File Format	PDF
ISSN	00189286
Volume Number	40
Issue Number	2
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1995-02-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	MIMO Integral equations Symmetric matrices Linear systems Controllability Observability Econometrics Transfer functions Bismuth
Content Type	Text
Resource Type	Article
Subject	Control and Systems Engineering Electrical and Electronic Engineering Computer Science Applications

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