Ràng buộc tại điểm trong các không gian Sobolev giá trị vector

Applied Mathematics & Optimization - Tập 77 - Trang 463-497 - 2016
Gerd Wachsmuth1
1Faculty of Mathematics, Technische Universität Chemnitz, Chemnitz, Germany

Tóm tắt

Chúng tôi xem xét một tập hợp $$\mathcal {C}$$ với các ràng buộc tại điểm trong một không gian Sobolev giá trị vector. Chúng tôi đặc trưng hóa nón tiếp tuyến và nón pháp tuyến của nó. Dưới giả định bổ sung rằng các ràng buộc tại điểm là tuyến tính và thỏa mãn điều kiện độc lập tuyến tính, chúng tôi chỉ ra rằng tập hợp $$\mathcal {C}$$ là polyhedric. Các kết quả này được áp dụng cho điều khiển tối ưu một dây trong một ống polyhedral.

Từ khóa

#Các ràng buộc tại điểm #không gian Sobolev #điều khiển tối ưu #polyhedric

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