On optimal control problems with generalized invariant convex interval-valued functionals. (English) Zbl 07901705
Summary: This paper studies some results on solutions associated with interval-valued optimal control problems driven by generalized invariant convex (for short, invex) functionals. Necessary conditions of optimality are stated for the considered optimization problem. Also, the sufficiency of the necessary optimality conditions is investigated. Moreover, various duality relationships between the dual models and the primal optimization problem are deliberated.
MSC:
| 90C26 | Nonconvex programming, global optimization |
| 90C46 | Optimality conditions and duality in mathematical programming |
| 90C30 | Nonlinear programming |
Keywords:
optimization problem; interval-valued functionals; \((q, w)\)-\(\pi\)-invexity; duality; LU-optimal solutionReferences:
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