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Minimal system inverses for linear multivariable systems

Bengtsson, Gunnar (1974) In Journal of Mathematical Analysis and Applications 46(2). p.261-274
Abstract
The problem of minimal inverses for linear time invariant multivariable systems is formulated and constructively solved in a state space setting. Unknown initial states as well as zero initial states are considered. The spectrum of the minimal inverse is shown to be unique and constructable from the original system without first calculating the whole inverse. This leads to a simple way of introducing the equivalence of “zeros” in state space terminology.
Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
published
in
Journal of Mathematical Analysis and Applications
volume
46
issue
2
pages
261 - 274
publisher
Elsevier
external identifiers
  • scopus:0016059355
ISSN
0022-247X
DOI
10.1016/0022-247X(74)90237-6
language
English
LU publication?
no
id
f665f3d3-1361-4f28-83c0-f2beb6560879
date added to LUP
2018-12-09 17:22:11
date last changed
2019-01-06 14:19:22
@article{f665f3d3-1361-4f28-83c0-f2beb6560879,
  abstract     = {The problem of minimal inverses for linear time invariant multivariable systems is formulated and constructively solved in a state space setting. Unknown initial states as well as zero initial states are considered. The spectrum of the minimal inverse is shown to be unique and constructable from the original system without first calculating the whole inverse. This leads to a simple way of introducing the equivalence of “zeros” in state space terminology.},
  author       = {Bengtsson, Gunnar},
  issn         = {0022-247X},
  language     = {eng},
  number       = {2},
  pages        = {261--274},
  publisher    = {Elsevier},
  series       = {Journal of Mathematical Analysis and Applications},
  title        = {Minimal system inverses for linear multivariable systems},
  url          = {http://dx.doi.org/10.1016/0022-247X(74)90237-6},
  volume       = {46},
  year         = {1974},
}