Passive LTI systems with a time-varying perturbation

George Weiss, Jian Hua Chen

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

We study a time-varying well-posed system resulting from the additive perturbation of the generator of a time-invariant well-posed system. The associated generator family has the form A+G(t), where G(t) is a bounded operator on the state space and G(·) is strongly continuous. We show that the resulting time-varying system (the perturbed system) is well-posed and we investigate its properties. In the particular case when the unperturbed system is scattering passive, we derive an energy balance inequality for the perturbed system. If the operators G(t) are dissipative, then the perturbed system is again scattering passive. We illustrate this theory by using it to formulate the system corresponding to a conductor moving in an electromagnetic field described by Maxwell's equations.

Original languageEnglish
Title of host publication4th IFAC Workshop on Lagrangian and Hamiltonian Methods for Non Linear Control, LHMNLC 2012
PublisherIFAC Secretariat
Pages126-131
Number of pages6
Edition19
ISBN (Print)9783902823083
DOIs
StatePublished - 2012
Event4th IFAC Workshop on Lagrangian and Hamiltonian Methods for Non Linear Control, LHMNLC 2012 - Bertinoro, Italy
Duration: 29 Aug 201231 Aug 2012

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
Number19
Volume45
ISSN (Print)1474-6670

Conference

Conference4th IFAC Workshop on Lagrangian and Hamiltonian Methods for Non Linear Control, LHMNLC 2012
Country/TerritoryItaly
CityBertinoro
Period29/08/1231/08/12

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