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The selection of the viability kernel for a differential inclusion

โœ Scribed by A.B. Zavarin; V.N. Ushakov

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
791 KB
Volume
65
Category
Article
ISSN
0021-8928

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โœฆ Synopsis

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 differential inclusion is proposed and also an algorithm for constructing the s-viable solutions of the controlled system and the differential inclusion.

๐Ÿ“œ SIMILAR VOLUMES

Viability for Semilinear Differential In
Viability for Semilinear Differential Inclusions via the Weak Sequential Tangency Condition
โœ Ovidiu Cรขrjฤƒ; Ioan I. Vrabie ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 119 KB

generator of a C -semigroup S t : X ยช X, t G 0, D a locally weakly sequentially 0 D ยช 2 X a nonempty, closed, convex, and bounded valued mapping and let us consider the semilinear differential inclusion du t g Au t q F u t , t G 0. D DT T

Construction of the viability kernel for
Construction of the viability kernel for a non-linear controlled system with a target set
โœ A.A. Neznakhin; V.N. Ushakov ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 493 KB

A non-linear controlled system in a finite time interval with phase constraints and a given target set is considered. The problem of constructing the viability kernel in the phase constraints is investigated. The viability kernel is the set of all initial positions from which at least one viable tra