Optimization techniques for solving elliptic control problems with control and state constraints. Part 2: Distributed control

Computational Optimization and Applications

Volumn 18, Issue 2, 2001, Pages 141-160

  Maurer, Helmut ^a   Mittelmann, Hans D ^b  

^a UNIVERSITY OF MÜNSTER   (Germany)

^b ARIZONA STATE UNIVERSITY   (United States)

Author keywords

Control and state constraints; Discretization techniques; Distributed control; Elliptic control problems; NLP methods

Indexed keywords

ALGORITHMS; BANG BANG CONTROL SYSTEMS; BOUNDARY CONDITIONS; CONSTRAINT THEORY; DISTRIBUTED PARAMETER CONTROL SYSTEMS; EQUATIONS OF STATE; INTEGRAL EQUATIONS; OPTIMAL CONTROL SYSTEMS;

DISCRETIZATION TECHNIQUES; ELLIPTIC CONTROL PROBLEMS; PONTRYAGIN MINIMUM PRINCIPLE; STATE CONSTRAINTS;

NONLINEAR PROGRAMMING;

EID: 0035248626     PISSN: 09266003     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008774521095     Document Type: Article

References (29)

1. A comparison of interior point methods and a Moreau-Yosida based active set strategy for constrained optimal control problems
2. Augmented Lagrangian techniques for elliptic state constrained optimal control problems
3. Primal-dual strategy for constrained optimal control problems
4. Second order analysis for control constrained optimal control problems of semilinear elliptic systems
5. Optimal control of semilinear multistate systems with state constraints
6. An extension of pontryagin's principle for state-constrained optimal control problems of semilinear elliptic equations and variational inequalities
7. Study of an optimal control problem for diffusive nonlinear elliptic equations of logistic type
8. Boundary control with pointwise state constraints
9. Second order sufficient optimality conditions for a nonlinear elliptic control problem
10. Second order sufficient optimality conditions for some state constrained control problems of semilinear elliptic equations
11. LANCELOT, a fortran package for large-scale nonlinear optimization (release A)
12. SNOPT: An SQP algorithm for large-scale constrained optimization
13. Finite element approximations of an optimal control problem associated with the scalar Ginzburg-Landau equation
14. Analysis of inexact trust-region interior-point SQP algorithms
15. Regularized penalty methods for ill-posed optimal control problems with elliptic equations. Part I: Distributed control with bounded control set and state constraints
16. Regularized penalty methods for ill-posed optimal control problems with elliptic equations. Part II: Distributed and boundary control with unbounded control sets and state constraints
17. Augmented Lagrangian-SQP methods for nonlinear optimal control problems of tracking type
18. Augmented Lagrangian-SQP techniques and their approximations
19. Optimal control for elliptic Volterra-Lotka equations
20. Optimal control of systems governed by partial differential equations
21. Optimization techniques for solving elliptic control problems with control and state constraints. Part 1: Boundary control
22. Decision tree for optimization software
23. Solving elliptic control problems with interior point and SQP methods: Control and state constraints
24. MINOS 5.4 user's guide
25. Konvergenz des proximal-punkt-verfahrens für inkorrekt gestellte Optimalsteuerungsprobleme mit partiellen differentialgleichungen
26. Optimal damping control and nonlinear elliptic systems
27. An interior point algorithm for nonconvex nonlinear programming