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Differential Inclusions and Target Problems

Quincampoix, Marc (1992), Differential Inclusions and Target Problems, SIAM Journal on Control and Optimization, 30, 2, p. 324-335. http://dx.doi.org/10.1137/0330020

Type
Article accepté pour publication ou publié
Date
1992
Journal name
SIAM Journal on Control and Optimization
Volume
30
Number
2
Publisher
SIAM
Pages
324-335
Publication identifier
http://dx.doi.org/10.1137/0330020
Metadata
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Author(s)
Quincampoix, Marc
Abstract (EN)
Where and how solutions associated to a differential inclusion can or cannot enter a given target is studied. For this purpose, partitions of the target boundary are associated with the dynamic of the system. The behaviour of these solutions is qualitatively described in terms of viability and invariance kernels of sets. These kernels determine points such that there exist (respectively, all) solutions starting at these points remain in a given set of constraints. The sets that are reached in finite time by viable solutions to the system are also studied. Finally, some applications to control systems with one target are provided, and the concept of semipermeable barriers will be generalized.
Subjects / Keywords
viability; invariance; semipermeable barriers; differential inclusions

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