11 research outputs found
Optimal control of infinite dimensional bilinear systems: application to the heat and wave equations
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State-Constrained Control-Affine Parabolic Problems I: First and Second Order Necessary Optimality Conditions
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Second order analysis of control-affine problems with scalar state constraint
No full textIn this article we establish new second order necessary and sufficient optimality conditions for a class of control-affine problems with a scalar control and a scalar state constraint. These optimality conditions extend to the constrained state framework the Goh transform, which is the classical tool for obtaining an extension of the Legendre condition
A Hybrid Direct–Indirect Approach for Solving the Singular Optimal Control Problems of Finite and Infinite Order
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