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- Title
Second-order KKT optimality conditions for multiobjective discrete optimal control problems.
- Authors
Toan, Nguyen Thi; Thuy, Le Quang; Van Tuyen, Nguyen; Xiao, Yi-Bin
- Abstract
This paper deals with second-order necessary and sufficient optimality conditions of Karush–Kuhn–Tucker-type for local optimal solutions in the sense of Pareto to a class of multi-objective discrete optimal control problems with nonconvex cost functions and state-control constraints. By establishing an abstract result on second-order optimality conditions for a multi-objective mathematical programming problem, we derive second-order necessary and sufficient optimality conditions for a multi-objective discrete optimal control problem. Using a common critical cone for both the second-order necessary and sufficient optimality conditions, we obtain "no-gap" between second-order optimality conditions.
- Subjects
MATHEMATICAL programming; COST functions; CONES; OPTIMAL control theory
- Publication
Journal of Global Optimization, 2021, Vol 79, Issue 1, p203
- ISSN
0925-5001
- Publication type
Article
- DOI
10.1007/s10898-020-00935-7