Simultaneous distributed-boundary optimal control problems driven by nonlinear complementarity systems

• Published in: Journal of global optimization Vol. 84; no. 3; pp. 783 - 805
• Main Authors: Cen, Jinxia, Haddad, Tahar, Nguyen, Van Thien, Zeng, Shengda
• Format: Journal Article
• Language: English
• Published: New York Springer US 01.11.2022; Springer; Springer Nature B.V
• Subjects: Applied mathematics; Approximation; Asymptotic properties; Boundary conditions; Computer Science; Control theory; Convergence; Differential equations; Mathematics; Mathematics and Statistics; Nonlinear systems; Operations Research/Decision Theory; Operators (mathematics); Optimal control; Optimization; Partial differential equations; Real Functions; Uniqueness; 47J20; Simultaneous optimal control problem; 49J20; 49J40; 90C33; Asymptotic behavior; Nonhomogeneous partial differential operator; Complementarity problem; Mixed boundary condition; 35J25

The primary goal of this paper is to study a nonlinear complementarity system (NCS, for short) with a nonlinear and nonhomogeneous partial differential operator and mixed boundary conditions, and a simultaneous distributed-boundary optimal control problem governed by (NCS), respectively. First, we f...