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Evaluation of Crisis, Reversibility, Alert Management for Constrained Dynamical Systems Using Impulse Dynamical Systems

Saint-Pierre, Patrick (2003), Evaluation of Crisis, Reversibility, Alert Management for Constrained Dynamical Systems Using Impulse Dynamical Systems, in Dimov, Ivan; Lirkov, Ivan; Margenov, Svetozar; Zlatev, Zahari, Numerical Methods and Applications 5th International Conference, NMA 2002, Borovets, Bulgaria, August 20-24, 2002, Revised Papers, Springer : Berlin, p. 255-263. http://dx.doi.org/10.1007/3-540-36487-0_28

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Type
Communication / Conférence
Date
2003
Conference title
5th International Conference on Numerical Methods and Applications (NMA 2002)
Conference date
2002-08
Conference city
Borovets
Conference country
Bulgarie
Book title
Numerical Methods and Applications 5th International Conference, NMA 2002, Borovets, Bulgaria, August 20-24, 2002, Revised Papers
Book author
Dimov, Ivan; Lirkov, Ivan; Margenov, Svetozar; Zlatev, Zahari
Publisher
Springer
Series title
Lecture Notes in Computer Science
Series number
2542
Published in
Berlin
ISBN
978-3-540-00608-4
Number of pages
574
Pages
255-263
Publication identifier
Metadata
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Author(s)
Saint-Pierre, Patrick
Abstract (EN)
Considering constrained dynamical systems characterized by a differential inclusion x′ ∈ F(x), we are interested in studying the situation where, for various reasons, the state leaves the constrain domain K either because the initial position does not belong to the Viability Kernel of K for F or it belongs to a “sustainable or tolerable” but not “comfortable” domain. This question appears in numerous models in Social Sciences or in Genetics as well as for controlling security in Automatics and Robotics, like Aircraft landing, rolling and taking off After recalling basic concepts in Viability Theory and using hybrid calculus, we show how to evaluate and manage crisis in general cases.
Subjects / Keywords
Hybrid system; Reversibility; System management; Differential system; Differential inclusion; Robotics; Dynamical system; Genetic algorithm