Scorza-Dragoni's Theorem for Unbounded Set-Valued Functions and its Applications to Control Problems
Pavol Brunovský (1970)
Matematický časopis
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Displaying similar documents to “Pareto optimality for nonlinear infinite dimensional control systems.”
Scorza-Dragoni's Theorem for Unbounded Set-Valued Functions and its Applications to Control Problems
On the existence of optimal controls for nonlinear infinite dimensional systems
Antonella Fiacca, Nikolaos S. Papageorgiou, Francesca Papalini (1998)
Czechoslovak Mathematical Journal
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We consider nonlinear systems with a priori feedback. We establish the existence of admissible pairs and then we show that the Lagrange optimal control problem admits an optimal pair. As application we work out in detail two examples of optimal control problems for nonlinear parabolic partial differential equations.
Optimality conditions for systems driven by nonlinear evolution equations.
Papageorgiou, N. (1995)
Mathematical Problems in Engineering
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Existence theorems for differential inclusions with nonconvex right-hand side.
Papageorgiou, Nikolaos S. (1986)
International Journal of Mathematics and Mathematical Sciences
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On integral inclusions of Volterra type in Banach spaces
Nikolaos S. Papageorgiou (1992)
Czechoslovak Mathematical Journal
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Optimization problems with convex epigraphs. Application to optimal control
Arkadii Kryazhimskii (2001)
International Journal of Applied Mathematics and Computer Science
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For a class of infinite-dimensional minimization problems with nonlinear equality constraints, an iterative algorithm for finding global solutions is suggested. A key assumption is the convexity of the ''epigraph'', a set in the product of the image spaces of the constraint and objective functions. A convexification method involving randomization is used. The algorithm is based on the extremal shift control principle due to N.N. Krasovskii. An application to a problem of optimal control...