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
TypeCommunication / Conférence
Conference title5th International Conference on Numerical Methods and Applications (NMA 2002)
Book titleNumerical Methods and Applications 5th International Conference, NMA 2002, Borovets, Bulgaria, August 20-24, 2002, Revised Papers
Book authorDimov, Ivan; Lirkov, Ivan; Margenov, Svetozar; Zlatev, Zahari
Series titleLecture Notes in Computer Science
Number of pages574
MetadataShow full item record
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 / KeywordsHybrid system; Reversibility; System management; Differential system; Differential inclusion; Robotics; Dynamical system; Genetic algorithm
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Viability-based computation of spatially constrained minimum time trajectories for an autonomous underwater vehicle: implementation and experiments Bayen, Alexandre M.; Silva, Jorge Estrela; Madureira, Luis; Marques, Edoardo; Sousa, Joao; Martins, Ricardo; Pinto, José; Diemer, Sébastien; Tinka, Andrew; Saint-Pierre, Patrick (2009) Communication / Conférence