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Stability of switched linear differential systems

Stability of switched linear differential systems
Stability of switched linear differential systems
We study the stability of switched systems whose dynamic modes are described by systems of higher-order linear differential equations not necessarily sharing the same state space. Concatenability of trajectories at the switching instants is specified by gluing conditions, i.e. algebraic conditions on the trajectories and their derivatives at the switching instants. We provide sufficient conditions for stability based on LMIs for systems with general gluing conditions. We also analyse the role of positive-realness in providing sufficient polynomial-algebraic conditions for stability of two-modes switched systems with special gluing conditions.
0018-9286
2038-2051
Mayo Maldonado, J.C.
a922f104-e896-44b7-84d1-ba0f1fe035ad
Rapisarda, P.
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Rocha, P.
7fb9de01-75f9-4cb8-96a2-dbbb8cdf28f4
Mayo Maldonado, J.C.
a922f104-e896-44b7-84d1-ba0f1fe035ad
Rapisarda, P.
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Rocha, P.
7fb9de01-75f9-4cb8-96a2-dbbb8cdf28f4

Mayo Maldonado, J.C., Rapisarda, P. and Rocha, P. (2014) Stability of switched linear differential systems. IEEE Transactions on Automatic Control, 59 (8), 2038-2051. (doi:10.1109/TAC.2014.2314521).

Record type: Article

Abstract

We study the stability of switched systems whose dynamic modes are described by systems of higher-order linear differential equations not necessarily sharing the same state space. Concatenability of trajectories at the switching instants is specified by gluing conditions, i.e. algebraic conditions on the trajectories and their derivatives at the switching instants. We provide sufficient conditions for stability based on LMIs for systems with general gluing conditions. We also analyse the role of positive-realness in providing sufficient polynomial-algebraic conditions for stability of two-modes switched systems with special gluing conditions.

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e-pub ahead of print date: 21 July 2014
Published date: August 2014
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 367406
URI: http://eprints.soton.ac.uk/id/eprint/367406
ISSN: 0018-9286
PURE UUID: f8d6837d-fb91-4cf1-a701-4d378caa5be4

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Date deposited: 29 Jul 2014 13:58
Last modified: 14 Mar 2024 17:29

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Contributors

Author: J.C. Mayo Maldonado
Author: P. Rapisarda
Author: P. Rocha

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