Minimax control of nonlinear evolution equations.
DOI10.1016/S0096-3003(01)00122-9zbMath1053.49004MaRDI QIDQ1855787
Nikolaos S. Papageorgiou, Nikolaos G. Yannakakis
Publication date: 28 January 2003
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
compact embeddingmonotone operator\(G\)-convergencesaddle pointduality theorynecessary conditionsevolution tripleadjoint equationminimax optimization problemPontryagin maximum principlenonlinear parametric optimal control
Nonlinear differential equations in abstract spaces (34G20) Existence of solutions for minimax problems (49J35) Control problems involving ordinary differential equations (34H05) Duality theory (optimization) (49N15) Existence theories for problems in abstract spaces (49J27) Optimality conditions for minimax problems (49K35)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Minimax design of a class of distributed control systems
- Dualita e perturbazione di funzionali integrali
- Hamiltonian Pontryagin's principles for control problems governed by semilinear parabolic equations
- A sensitivity analysis of Volterra integral inclusions with applications to optimal control problems
- Properties of the solution set of nonlinear evolution inclusions
- Minimax control of parabolic systems with Dirichlet boundary conditions and state constraints
- G-convergence of a class of evolution operators
- Necessary and sufficient conditions for L1-strong- weak lower semicontinuity of integral functionals
- G-convergence of parabolic operators
- On Parametric Evolution Inclusions of the Subdifferential Type with Applications to Optimal Control Problems
- Pontryagin's Principle for State-Constrained Boundary Control Problems of Semilinear Parabolic Equations
- Nonlinear Uncertain Systems and Necessary Conditions of Optimality
This page was built for publication: Minimax control of nonlinear evolution equations.