|Title: ||Second-order lagrange multiplier rules in multiobjective optimal control of infinite dimensional systems under state constraints and mixed pointwise constraints
||Author(s): ||Nguyen Dinh T.
||Keywords: ||Banach space-valued integration; Bilinear control system; Local weak Pareto solution; Multiobjective optimal control; Necessary second-order optimality condition; Semigroup structure
||Abstract: ||We investigate a multiobjective optimal control problem, governed by a strongly continuous semigroup operator in an infinite dimensional separable Banach space, and with final-state constraints, pointwise pure state constraints and a mixed pointwise control-state constraint. Basing on necessary optimality conditions obtained for an abstract multiobjective optimization framework, we establish a second-order Lagrange multiplier rule, of Fritz-John type, for local weak Pareto solutions of the problem under study. As a consequence of the main result, we also derive a multiplier rule for a multiobjective optimal control model driven by a bilinear system being affine-linear in the control, and with an objective function of continuous quadratic form.
||Issue Date: ||2021
|Appears in Collections:||INTERNATIONAL PUBLICATIONS|