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Dissipative switched linear differential systems

Dissipative switched linear differential systems
Dissipative switched linear differential systems
We develop a dissipativity theory for switched systems whose dynamical modes are described by systems of higher-order linear differential equations. We give necessary and sufficient conditions for dissipativity based on systems of LMIs, constructed from the coefficient matrices of the differential equations describing the modes. The relationship between dissipativity and stability is also discussed and an application to the stabilisation of power converters is provided
switched systems, behaiours, dissipativity, power conversters, quadratic differentila forms
0018-9286
3813-3825
Mayo-Maldonado, Jonathan C.
c79a2146-61b5-4b79-b6e5-6445f3b71def
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Mayo-Maldonado, Jonathan C.
c79a2146-61b5-4b79-b6e5-6445f3b71def
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b

Mayo-Maldonado, Jonathan C. and Rapisarda, Paolo (2016) Dissipative switched linear differential systems. IEEE Transactions on Automatic Control, 61 (12), 3813-3825. (doi:10.1109/TAC.2016.2520948).

Record type: Article

Abstract

We develop a dissipativity theory for switched systems whose dynamical modes are described by systems of higher-order linear differential equations. We give necessary and sufficient conditions for dissipativity based on systems of LMIs, constructed from the coefficient matrices of the differential equations describing the modes. The relationship between dissipativity and stability is also discussed and an application to the stabilisation of power converters is provided

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Accepted/In Press date: 20 January 2016
e-pub ahead of print date: 22 January 2016
Published date: 22 January 2016
Keywords: switched systems, behaiours, dissipativity, power conversters, quadratic differentila forms
Organisations: Vision, Learning and Control
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Identifiers

Local EPrints ID: 386199
URI: http://eprints.soton.ac.uk/id/eprint/386199
DOI: doi:10.1109/TAC.2016.2520948
ISSN: 0018-9286
PURE UUID: 5b2ff06b-0251-42d1-bcbd-7eb81d680446

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Date deposited: 29 Jan 2016 10:02
Last modified: 14 Mar 2024 22:28

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Contributors

Author: Jonathan C. Mayo-Maldonado
Author: Paolo Rapisarda

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