Geodesic
Regional Stability and Stability Radius
A. Bernoussi1 ; A. Bel Fekih2
1 GAT team, Faculty of Sciences and Techniques B.P. 416, Tangier, Morocco.
2 Team of Mathematical Modeling and Control. Faculty of Sciences and Techniques B.P. 416, Tangier, Morocco.
ESAIM. Proceedings, Tome 49 (2015), pp. 23-36 Cet article a éte moissonné depuis la source EDP Sciences

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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.
DOI : 10.1051/proc/201549003

A. Bernoussi 1 ; A. Bel Fekih 2

1 GAT team, Faculty of Sciences and Techniques B.P. 416, Tangier, Morocco.
2 Team of Mathematical Modeling and Control. Faculty of Sciences and Techniques B.P. 416, Tangier, Morocco. 
@article{EP_2015_49_a4,
     author = {A. Bernoussi and A. Bel Fekih},
     title = {Regional {Stability} and {Stability} {Radius}},
     journal = {ESAIM. Proceedings},
     pages = {23--36},
     year = {2015},
     volume = {49},
     doi = {10.1051/proc/201549003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc/201549003/}
}
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A. Bernoussi; A. Bel Fekih. Regional Stability and Stability Radius. ESAIM. Proceedings, Tome 49 (2015), pp. 23-36. doi: 10.1051/proc/201549003

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