From External to Internal System Decompositions
From External to Internal System Decompositions
The recently obtained approach to the construction of state maps, which is directly based on the linear differential operator describing the system, is shown to lead to an immediate and insightful relation between external and internal decompositions and symmetries of a linear system. This is applied to the decomposition of a system into its controllable and uncontrollable part (in the state space representation commonly referred to as the Kalman decomposition), and to the correspondence between external and internal symmetries.
State maps, integration by parts, bilinear differential forms, factorization, Kalman decomposition, controllable part, symmetries
van der Schaft, Arjan J.
f01c6100-f2fc-4ce8-989c-2a56016e8ae5
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
28 August 2011
van der Schaft, Arjan J.
f01c6100-f2fc-4ce8-989c-2a56016e8ae5
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
van der Schaft, Arjan J. and Rapisarda, Paolo
(2011)
From External to Internal System Decompositions.
18th IFAC World Congress, Milan, Italy.
28 Aug - 02 Sep 2011.
Record type:
Conference or Workshop Item
(Paper)
Abstract
The recently obtained approach to the construction of state maps, which is directly based on the linear differential operator describing the system, is shown to lead to an immediate and insightful relation between external and internal decompositions and symmetries of a linear system. This is applied to the decomposition of a system into its controllable and uncontrollable part (in the state space representation commonly referred to as the Kalman decomposition), and to the correspondence between external and internal symmetries.
Text
DecompositionsIFAC2011.pdf
- Version of Record
More information
Published date: 28 August 2011
Additional Information:
Event Dates: August 28 - September 2, 2011
Venue - Dates:
18th IFAC World Congress, Milan, Italy, 2011-08-28 - 2011-09-02
Keywords:
State maps, integration by parts, bilinear differential forms, factorization, Kalman decomposition, controllable part, symmetries
Organisations:
Southampton Wireless Group
Identifiers
Local EPrints ID: 272757
URI: http://eprints.soton.ac.uk/id/eprint/272757
PURE UUID: 1ffb2d4b-19b8-486f-900d-2c00b8b52f15
Catalogue record
Date deposited: 09 Sep 2011 09:03
Last modified: 14 Mar 2024 10:09
Export record
Contributors
Author:
Arjan J. van der Schaft
Author:
Paolo Rapisarda
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics