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Regional Stability and Stability Radius

descriptionPublicationkeyboard_double_arrow_right Article 01 Feb 2015Publisher:EDP SciencesJournal:ESAIM: Proceedings and Surveys, volume 49, pages 23-36 (eissn: 2267-3059,

Authors: A. Bel Fekih; A. Bernoussi;

doi: 10.1051/proc/201549003

Regional Stability and Stability Radius

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Abstract

In this work we consider the problem of stability, for distributed parameter systems, through the space variable. We give an extension of the stability radius, introduced by A. J. Pritchard and S. Townley [7, 10], to the regional case. This consists to determine the “smallest disturbance” which destabilizes regionally an exponentially stable system. We prove in particular that for a certain given class of distributed parameter systems, it is possible to destabilize regionally an exponential stable system without destabilizing it totally.

Keywords

T57-57.97, Applied mathematics. Quantitative methods, QA1-939, Mathematics

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