Stabilization, Lyapunov functions, and dissipation

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).


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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.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1016/j.sysconle.2010.09.008
ISSNs: 0167-6911 (print)
Related URLs:
Keywords: Stabilization; (half-line) dissipativity; linear systems; interconnection; Lyapunov functions.
Divisions : Faculty of Physical Sciences and Engineering > Electronics and Computer Science > Southampton Wireless Group
ePrint ID: 271668
Accepted Date and Publication Date:
2 November 2010Published
Date Deposited: 02 Nov 2010 10:13
Last Modified: 31 Mar 2016 14:19
Further Information:Google Scholar

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