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Stabilization, Lyapunov functions, and dissipation

Stabilization, Lyapunov functions, and dissipation
Stabilization, Lyapunov functions, and dissipation
For linear time-invariant systems any stabilizing controller for a given plant can be associated with a supply rate with respect to which the plant in open-loop is half-line dissipative. We also prove the equivalence between stability of the interconnection of two systems and their half-line dissipativity with respect to a supply rate and its negative.
Stabilization, (half-line) dissipativity, linear systems, interconnection, Lyapunov functions.
0167-6911
806-811
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Kojima, Chiaki
0a50491d-140e-49cd-a257-2816cf504880
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Kojima, Chiaki
0a50491d-140e-49cd-a257-2816cf504880

Rapisarda, Paolo and Kojima, Chiaki (2010) Stabilization, Lyapunov functions, and dissipation. Systems & Control Letters, 59 (12), 806-811. (doi:10.1016/j.sysconle.2010.09.008).

Record type: Article

Abstract

For linear time-invariant systems any stabilizing controller for a given plant can be associated with a supply rate with respect to which the plant in open-loop is half-line dissipative. We also prove the equivalence between stability of the interconnection of two systems and their half-line dissipativity with respect to a supply rate and its negative.

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Published date: 2 November 2010
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Keywords: Stabilization, (half-line) dissipativity, linear systems, interconnection, Lyapunov functions.
Organisations: Southampton Wireless Group
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Identifiers

Local EPrints ID: 271668
URI: http://eprints.soton.ac.uk/id/eprint/271668
DOI: doi:10.1016/j.sysconle.2010.09.008
ISSN: 0167-6911
PURE UUID: 6fc5ae65-fcb3-44b0-ac00-3b0448fab006

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Date deposited: 02 Nov 2010 10:13
Last modified: 14 Mar 2024 09:37

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Contributors

Author: Paolo Rapisarda
Author: Chiaki Kojima

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