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)


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)


Kluwer Academic Publishers-Plenum Publishers (EN)

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