Abstract
The specific properties of optimal control problems for elliptic systems, if compared with the case of a single equation, are described. Within them are: strong closures of sets of feasible states; the relaxability via convexification; the type of necessary optimality conditions.
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Raitums, U.: Optimal control problems for elliptic equations, Zinatne, Riga (1989) (in Russian).
Raitums, U.: The maximum principle and the convexification of optimal control problems, Control and Cybernetics, vol. 23, No 4, p. 745–760 (1994).
Raitums, U.: On the minimization of quadratic functionals on the set of solutions of a family of linear equations, Optimization, Bd. 17, No 3, p. 349–354 (1986).
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© 1998 Springer Basel AG
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Raitums, U. (1998). Extremal Problems for Elliptic Systems. In: Schmidt, W.H., Heier, K., Bittner, L., Bulirsch, R. (eds) Variational Calculus, Optimal Control and Applications. International Series of Numerical Mathematics, vol 124. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8802-8_9
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DOI: https://doi.org/10.1007/978-3-0348-8802-8_9
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9780-8
Online ISBN: 978-3-0348-8802-8
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