Sequential Optimization for Semilinear Divergent Hyperbolic Equation with a Boundary Control and State Inequality Constraint

• Autorzy: Vladimir S. Gavrilov , Mikhail I. Sumin
• Języki publikacji: EN

Abstrakty

EN

An optimal control problem with a state constraint of inequality type and with dynamics described by a semilinear hyperbolic equation in divergence form with the non-homogeneous boundary condition of the third kind is considered. The state constraint contains a functional parameter that belongs to the class of continuous functions and occurs as an additive term. We study the properties of solutions of linear hyperbolic equations in divergence form with measures in the original data and compute the first variations of functionals on the basis of a so-called two-parameter needle variation of controls. We consider the necessary conditions for minimizing sequences in an optimal control problem with a pointwise in time state constraint of inequality type and with dynamics described by a semilinear hyperbolic equation in divergence form with the non-homogeneous boundary condition of the third kind. For the parametric optimization problem, we also consider regularity and normality conditions stipulated by the differential properties of its value function. (original abstract)

Słowa kluczowe

EN

Control theory; Optimization theory

PL

Teoria kontroli; Teoria optymalizacji

• Czasopismo: Control and Cybernetics
• Rocznik: 2014
• Tom: 43
• Numer: nr 2
• Strony: 183--226

Twórcy

autor

Vladimir S. Gavrilov

• Nizhnii Novgorod State University, Russia

autor

Mikhail I. Sumin

• Nizhnii Novgorod State University, Russia

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