Discrete approximation of relaxed optimal control problems

 
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1990 (EN)
Discrete approximation of relaxed optimal control problems (EN)

Bacopoulos, A (EN)
Chryssoverghi, I (EN)

N/A (EN)

We consider a general nonlinear optimal control problem for systems governed by ordinary differential equations with terminal state constraints. No convexity assumptions are made. The problem, in its so-called relaxed form, is discretized and necessary conditions for discrete relaxed optimality are derived. We then prove that discrete optimality [resp., extremality] in the limit carries over to continuous optimality [resp., extremality]. Finally, we prove that limits of sequences of Gamkrelidze discrete relaxed controls can be approximated by classical controls. © 1990 Plenum Publishing Corporation. (EN)

journalArticle

nonlinear systems (EN)
approximation (EN)
Discretization (EN)
Optimal control (EN)
relaxed controls (EN)
Control Systems, Optimal (EN)
Mathematical Techniques--Approximation Theory (EN)
nonconvexity (EN)
Optimal Control (EN)
discretization (EN)

Εθνικό Μετσόβιο Πολυτεχνείο (EL)
National Technical University of Athens (EN)

Journal of Optimization Theory and Applications (EN)

1990


Kluwer Academic Publishers-Plenum Publishers (EN)



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