Sufficient optimality conditions for multivariable control problems

• Autorzy: Andrzej Nowakowski
• Języki publikacji: EN

Abstrakty

EN

We study optimal control problems for partial differential equations (focusing on the multidimensional differential equation) with control functions in the Dirichlet boundary conditions under pointwise control (and we admit state - by assuming weak hypotheses) constraints.

Słowa kluczowe

EN

sufficient optimality condition; wave equations; parbolic equation; elliptic equation; Dirichlet boundary controls; dual dynamic programming

Kategorie tematyczne

• 93C20: Systems governed by partial differential equations
• 49K20: Problems involving partial differential equations
• 35L20: Initial-boundary value problems for second-order hyperbolic equations
• 49J20: Optimal control problems involving partial differential equations

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae, Differential Inclusions, Control and Optimization
• Rocznik: 2007
• Tom: 27
• Numer: 1
• Strony: 135-150

Daty

wydano

2007

otrzymano

2005-11-19

Twórcy

autor

Andrzej Nowakowski

• Faculty of Mathematics, University of Łódź, Banacha 22, 90-238 Łódź, Poland

Bibliografia

• [1] N. Arada and J.P. Raymond, Optimality conditions for state-constrained Dirichlet boundary control problems, J. Optim. Theory Appl. 102 (1999), 51-68.
• [2] N. Arada and J.P. Raymond, Dirichlet boundary control of semilinear parabolic equations, Part 2: Problems with pointwise state constraints, Appl. Math. Optim. 45 (2002), 145-167.
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• [18] B.S. Mordukhovich and J.P. Raymond, Dirichlet boundary control of hyperbolic equations in the presence of state constraints, Appl. Math. Optim. 49 (2004), 145-157
• [19] B.S. Mordukhovich and J.P. Raymond, Neumann boundary control of hyperbolic equations with pointwise state constraints, SIAM J. Control Optim. 43 (2004), 1354-1372.
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Identyfikatory

DOI

10.7151/dmdico1080