Duality in optimal control with first order partial differential inclusions

This work proposes a necessary and sufficient condition such as Pontryagin’s maximum principle for an optimal control problem with distributed parameters, which is described by the fourth-order Bianchi equation involving coefficients in variable exponent Lebesgue spaces. The problem is studied by aid of a novel version of the increment method that essentially uses the concept of the adjoint equation of integral type.

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Duality in optimal control with first order partial differential inclusions

Cited by 2 publications

References 21 publications

Optimal control of differential inclusions with endpoint constraints and duality

Optimal control of differential inclusions with endpoint constraints and duality

Optimal Control Problem for Fourth-Order Bianchi Equation in Variable Exponent Sobolev Spaces

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