Hybrid Kernels and Capture Basins for Impulse Constrained Systems
Saint-Pierre, Patrick (2002), Hybrid Kernels and Capture Basins for Impulse Constrained Systems, in Tomlin, Claire; Greenstreet, Mark, Hybrid Systems: Computation and Control 5th International Workshop, HSCC 2002, Stanford, CA, USA, March 25-27, 2002, Proceedings, Springer : Berlin, p. 351-396. http://dx.doi.org/10.1007/3-540-45873-5_30
TypeCommunication / Conférence
Conference title5th International Workshop on Hybrid Systems: Computation and Control (HSCC 2002)
Conference cityStanford (CA)
Book titleHybrid Systems: Computation and Control 5th International Workshop, HSCC 2002, Stanford, CA, USA, March 25-27, 2002, Proceedings
Book authorTomlin, Claire; Greenstreet, Mark
Series titleLecture Notes in Computer Science
Number of pages480
MetadataShow full item record
Abstract (EN)We investigate, for constrained controlled systems with impulse, the subset of initial positions contained in a set K from which starts at least one run viable in K - the hybrid viability kernel - eventually until it reaches a given closed target in finite time - the hybrid capture basin. We define a constructive algorithm which approximates this set. The knowledge of this set is essential for control problem since it provides viable hybrid feed-backs and viable runs. We apply this method for approximating the Minimal Time-to-reach Function in the presence of both constraints and impulses. Two examples are presented, the first deals with a dynamical system revealing the complexity of the structure of hybrid kernels, the second deals with a Minimal Time problem with impulses.
Subjects / Keywordshybrid viability kernel
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