Lagrange-Hamilton Approach in Optimization Problems with Isoperimetric-Type Constraints

Savin Treanţă ()
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Savin Treanţă: University Politehnica of Bucharest

Journal of Optimization Theory and Applications, 2022, vol. 194, issue 2, No 6, 508-520

Abstract: Abstract This paper derives necessary optimality conditions for a certain class of optimal control problems without linearity or convexity assumptions. The optimal control problem has a general objective function of integral type and a finite number of isoperimetric type constraints. For proving the main result derived in this paper, the Lagrange function and the control Hamiltonian are introduced and an adjoint differential equation is stated. In addition, we formulate some examples where the derived necessary optimality conditions are applied.

Keywords: Optimal control; Isoperimetric-type constraints; Control Hamiltonian; Variational differential system; Adjoint equation; 34H05; 65K10; 90C46 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s10957-022-02036-9

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