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Passivity analysis and passification of discrete-time hybrid systems

Bemporad, Alberto and Bianchini, Gianni and Brogi, Filippo Passivity analysis and passification of discrete-time hybrid systems. IEEE Transactions on Automatic Control , 54 (4). pp. 1004-1009. ISSN 0018-9286 (2008)

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For discrete-time hybrid systems in piecewise affine or piece-wise polynomial (PWP) form, this note proposes sufficient passivity analysis and synthesis criteria based on the computation of piecewise quadratic or PWP storage functions. By exploiting linear matrix inequality techniques and sum of squares decomposition methods, passivity analysis and synthesis of passifying controllers can be carried out through standard semidefinite programming packages, providing a tool particularly important for stability of interconnected heterogeneous dynamical systems.

Item Type: Article
Identification Number: 10.1109/TAC.2008.919564
Uncontrolled Keywords: PWP storage functions; discrete-time hybrid systems; interconnected heterogeneous dynamical systems; linear matrix inequality; passivity analysis; piece-wise polynomial form; piecewise affine form; piecewise quadratic; standard semidefinite programming packages; sum of squares decomposition methods; discrete time systems; piecewise polynomial techniques.
Subjects: Q Science > QA Mathematics
Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Research Area: Computer Science and Applications
Depositing User: Professor Alberto Bemporad
Date Deposited: 27 Jul 2011 08:35
Last Modified: 02 Mar 2012 15:26
URI: http://eprints.imtlucca.it/id/eprint/476

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