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Nonemptiness of viability kernels for infinite-dimensional differential inclusions

✍ Scribed by T.D. Donchev; M. Quincampoix

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
342 KB
Volume
16
Category
Article
ISSN
0893-9659

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✦ Synopsis

we investigate infinite-dimensional differential inclusions. Sufficient conditions for nonemptiness of the viability kernels of such systems are obtained.

πŸ“œ SIMILAR VOLUMES

The selection of the viability kernel fo
The selection of the viability kernel for a differential inclusion
✍ A.B. Zavarin; V.N. Ushakov πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 791 KB

A controlled system and the differential inclusion corresponding to it, which function in a finite time interval and are restricted by a phase constraint in the form of a compact set in position space, are considered. A trial algorithm for the approximate construction of the viability kernel of the

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The Viability Kernel Algorithm for Computing Value Functions of Infinite Horizon Optimal Control Problems
✍ Jean-Pierre Aubin; HΓ©lΓ¨ne Frankowska πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 222 KB

We characterize in this paper the epigraph of the value function of a discounted infinite horizon optimal control problem as the viability kernel of an auxiliary differential inclusion. Then the viability kernel algorithm applied to this problem provides the value function of the discretized optimal