Electronic Resource
Springer
Journal of optimization theory and applications
77 (1993), S. 31-50
ISSN:
1573-2878
Keywords:
Optimal control
;
nonlinear parabolic systems
;
discretization
;
approximation
;
relaxed controls
;
distributed systems
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract We consider a relaxed optimal control problem for systems defined by nonlinear parabolic partial differential equations with distributed control. The problem is completely discretized by using a finite-element approximation scheme with piecewise linear states and piecewise constant controls. Existence of optimal controls and necessary conditions for optimality are derived for both the continuous and the discrete problem. We then prove that accumulation points of sequences of discrete optimal [resp. extremal] controls are optimal [resp. extremal] for the continuous problem.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00940778
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