Sensitivity Analysis of Multi-objective Optimal Control Problems

Painlevé-Kuratowski convergences of solutions to nonlinear multiobjective optimal control problems

“…For multi-objective optimal control problems, to the best of our knowledge, there are only two works [25] and [6] that devoted to the stability for such problems. In [25], by reducing a multiobjective parametric optimal control problems with linear state equations to a multiobjective parametric mathematical programming problem, the authors established a new result on the Mordukhovich subdifferential of the efficient point multifunction of such problem and used it to formulate for computing the Mordukhovich subdifferential one to a multiobjective parametric optimal control problem. Recently, [6] considered the stability of solutions of a parametric multiobjective optimal control problem, where the state equation and multiobjective function are linear in the control variable.…”