Discontinuous Mayer control problem under state-constraints | Zendy

Sławomir Plaskacz | Zendy; Marc Quincampoix | Zendy

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Discontinuous Mayer control problem under state-constraints

Author(s) -

Sławomir Plaskacz,

Marc Quincampoix

Publication year - 2000

Publication title -

topological methods in nonlinear analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.623

H-Index - 23

ISSN - 1230-3429

DOI - 10.12775/tmna.2000.007

Subject(s) - mathematics , characterization (materials science) , hamilton–jacobi equation , bellman equation , state (computer science) , terminal (telecommunication) , set (abstract data type) , boundary (topology) , optimal control , boundary value problem , function (biology) , mathematical optimization , mathematical analysis , computer science , algorithm , telecommunications , materials science , evolutionary biology , biology , programming language , nanotechnology

This paper deals with Mayer's problem for control systems withstate constraints and, possibly, discontinuous terminal cost.The main result of this paper consists in the characterization ofthe value function as the unique solution to an Hamilton-Jacobiequation. The above characterization extends results alreadyobtained in the case of regular cost functions and under somecontrolability assumptions on the boundary of the set ofconstraints.

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