Locally Lipschitz stability of solutions to a parametric parabolic optimal control problem with mixed pointwise constraints
Người báo cáo: Huỳnh Khanh
Thời gian: 9am-11am sáng Thứ Ba ngày 16/01/2024
Địa điểm: Phòng 612, nhà A6
Tóm tắt: A class of parametric optimal control problems governed by semilinear parabolic equations with mixed pointwise constraints is investigated in this paper. The perturbations may appear in both the objective functional, in the state equation and in mixed pointwise constraints. By analyzing regularity and establishing the stability condition of Lagrange multipliers we prove that, if the strictly second-order sufficient condition for the unperturbed problem is valid, then the solutions of the problems as well as the associated Lagrange multipliers are Lipschitz continuous functions of the parameter.
Tin tức nổi bật
Hoạt động tuần
Hội thảo sắp diễn ra
15/07/26, Hội nghị, hội thảo:
Hình học tôpô và các chủ đề liên quan
13/10/26, Hội nghị, hội thảo:
International Workshop on Optimization, Variational Analysis, and Control Theory
09/11/26, Hội nghị, hội thảo:
Workshop on singularities and related topics (Conference in memory of Professor Lê Dũng Tráng)
Xuất bản mới
Đinh Nho Hào,
Maxim Shishlenin,
Van Ba Cong,
Stable Numerical Solution to Multi-dimensional Nonlinear Inverse Heat Conduction Problems via Artificial Neural Networks,
Lobachevskii Journal of Mathematics, Volume 47, pages 1213–1232 (2026)
Nguyễn Trung Thành,
Gianluca Barone,
Dat Tran,
Đinh Nho Hào,
All-at-once proximal alternating minimization method for an inverse medium scattering problem,
Journal of Computational Physics, Article: 115187 Volume: Volume 565 (2026)
Yongdo Lim,
Hoàng Ngọc Tuấn,
Nguyễn Đông Yên,
DC algorithms in Hilbert spaces and the solution of indefinite infinite-dimensional quadratic programs,
Journal of Global Optimization, Volume 95, pages 193–209 (2026)