Stabilization, Lyapunov functions, and dissipation

Rapisarda, Paolo and Kojima, Chiaki (2010) Stabilization, Lyapunov functions, and dissipation Systems & Control Letters, 59, (12), pp. 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.
Organisations: Southampton Wireless Group
ePrint ID: 271668
Date :
Date Event
2 November 2010Published
Date Deposited: 02 Nov 2010 10:13
Last Modified: 17 Apr 2017 18:09
Further Information:Google Scholar

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