A maximum principle for smooth optimal impulsive control problems with multipoint state constraints

A nonlinear optimal impulsive control problem with trajectories of bounded variation subject to intermediate state constraints at a finite number on nonfixed instants of time is considered. Features of this problem are discussed from the viewpoint of the extension of the classical optimal control pr...

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Bibliographic Details
Published inComputational mathematics and mathematical physics Vol. 49; no. 6; pp. 942 - 957
Main Authors Dykhta, V. A., Samsonyuk, O. N.
Format Journal Article
LanguageEnglish
Published Dordrecht SP MAIK Nauka/Interperiodica 01.06.2009
Springer Nature B.V
Subjects
Computational mathematics
Computational Mathematics and Numerical Analysis
Control theory
Dynamical systems
Mathematics
Mathematics and Statistics
Optimization
Physics
Studies
intermediate state constraints
smooth constrained optimal control problems
trajectories of bounded variation
maximum principle
impulsive control
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Summary:A nonlinear optimal impulsive control problem with trajectories of bounded variation subject to intermediate state constraints at a finite number on nonfixed instants of time is considered. Features of this problem are discussed from the viewpoint of the extension of the classical optimal control problem with the corresponding state constraints. A necessary optimality condition is formulated in the form of a smooth maximum principle; thorough comments are given, a short proof is presented, and examples are discussed.
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ISSN:0965-5425
1555-6662
DOI:10.1134/S0965542509060050