Approximation of relaxed nonlinear parabolic optimal control problems
From MaRDI portal
Publication:1321319
DOI10.1007/BF00940778zbMath0796.49002MaRDI QIDQ1321319
Publication date: 22 September 1994
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
discretizationdistributed controlfinite-element approximationrelaxed optimal controlnonlinear parabolic partial differential equationscontinuous and the discrete problem
Existence theories for optimal control problems involving ordinary differential equations (49J15) Optimality conditions for problems involving ordinary differential equations (49K15)
Related Items (4)
A zero-sum electromagnetic evader–interrogator differential game with uncertainty ⋮ Approximation of optimal control problems with state constraints ⋮ Mixed Frank-Wolfe penalty method with applications to nonconvex optimal control problems ⋮ Discretization of nonlinear elliptic optimal control problems
Cites Work
- An exact penalty function algorithm for optimal control problems with control and terminal equality constraints. I
- A priori estimates for the solutions of difference approximations to parabolic partial differential equations
- Numerical approximation of nonconvex optimal control problems defined by parabolic equations
- Computational methods for optimizing distributed systems
- Nonconvex optimal control of nonlinear monotone parabolic systems
- A computational method for a class of optimal relaxed control problems
- Discrete approximation of relaxed optimal control problems
- Sur le contrôle optimal de systèmes gouvernés par des équations élliptiques. (On optimal control of systems gouverned by elliptic equations.)
- Generalized curves
- Cubic spline approximation techniques for parameter estimation in distributed systems
- Estimation of Discontinuous Coefficients in Parabolic Systems: Applications to Reservoir Simulation
- Optimal control of non-linear distributed parameter systems by a finite-element collocation technique
- On Some Extremal Problems in the Theory of Differential Equations with Applications to the Theory of Optimal Control
- Relaxed Controls and the Convergence of Optimal Control Algorithms
- Steepest Descent with Relaxed Controls
- On Certain Questions in the Theory of Optimal Control
- Existence theorems for weak and usual optimal solutions in Lagrange problems with unilateral constraints. I
- Sur la généralisation de la notion de commande d'un système guidable
- An explicit procedure for discretizing continuous, optimal control problems
- Unnamed Item
- Unnamed Item
This page was built for publication: Approximation of relaxed nonlinear parabolic optimal control problems