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On positive-realness and Lyapunov functions for switched linear differential systems

On positive-realness and Lyapunov functions for switched linear differential systems
On positive-realness and Lyapunov functions for switched linear differential systems
We show new results about Lyapunov stability of switched linear differential systems (SLDS) using the concept of
positive realness. The main results include stability conditions for a class of SLDS with augmented banks and the parametrization of families of asymptotically stable SLDS with three modes. Such conditions can be verified using LMIs that can be directly set up from the higher-order differential equations describing the modes
0018-9286
1-6
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Mayo Maldonado, Jonathan
cd0eae1f-0547-4ded-b72a-299660ea1a03
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Mayo Maldonado, Jonathan
cd0eae1f-0547-4ded-b72a-299660ea1a03

Rapisarda, Paolo and Mayo Maldonado, Jonathan (2016) On positive-realness and Lyapunov functions for switched linear differential systems. IEEE Transactions on Automatic Control, 61 (8), 1-6. (doi:10.1109/TAC.2015.2484329).

Record type: Article

Abstract

We show new results about Lyapunov stability of switched linear differential systems (SLDS) using the concept of
positive realness. The main results include stability conditions for a class of SLDS with augmented banks and the parametrization of families of asymptotically stable SLDS with three modes. Such conditions can be verified using LMIs that can be directly set up from the higher-order differential equations describing the modes

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Accepted/In Press date: 21 September 2015
Published date: August 2016
Organisations: Vision, Learning and Control

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Local EPrints ID: 405533
URI: http://eprints.soton.ac.uk/id/eprint/405533
ISSN: 0018-9286
PURE UUID: 6e001b5f-cb1c-4c66-b107-d0cce958f67a

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Date deposited: 06 Feb 2017 14:33
Last modified: 09 Jan 2022 04:54

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Contributors

Author: Paolo Rapisarda
Author: Jonathan Mayo Maldonado

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