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Optimal control problems governed by the vector quasi-optimization problems
Optimal control problems governed by the vector quasi-optimization problems
Nguyễn Văn Hưng
The aim of this paper is to establish the existence results and generic stability of solutions of optimal control problems governed by the vector quasi-optimization problems. First, we establish some sufficient conditions for the existence of solutions to a class of control systems of vector quasi-optimization problems. Moreover, the generic stability of set-valued mappings where the set of essential points of a map is a dense residual subset of a metric space of the set-valued maps is investigated. Finally, we study a new class of optimal control problems where the systems are defined by vector quasi-optimization problems. Results on the existence conditions and generic stability to these problems are also established.
Xuất bản trên:
Optimal control problems governed by the vector quasi-optimization problems
Ngày đăng:
2026
Nhà xuất bản:
Journal of Nonlinear and Convex Analysis
Địa điểm:
Từ khoá:
Vector quasi-optimization problems; Optimal control problems; Existence conditions; Generic stability