Solving elliptic control problems with interior point and SQP methods: Control and state constraints

Journal of Computational and Applied Mathematics

Volumn 120, Issue 1-2, 2000, Pages 175-195

  Mittelmann, Hans D ^a   Maurer, Helmut ^b  

^a ARIZONA STATE UNIVERSITY   (United States)

^b UNIVERSITY OF MÜNSTER   (Germany)

Author keywords

Boundary and distributed control; Control and state constraints; Discretization techniques; Elliptic control problems; Interior point optimization methods

Indexed keywords

ALGORITHMS; BANG BANG CONTROL SYSTEMS; BOUNDARY CONDITIONS; CONSTRAINT THEORY; DISTRIBUTED PARAMETER CONTROL SYSTEMS; LINEAR EQUATIONS; NUMERICAL METHODS; OPTIMAL CONTROL SYSTEMS; OPTIMIZATION; QUADRATIC PROGRAMMING;

CONTROL STATE CONSTRAINTS; DIRICHLET CONDITION; DISCRETIZED CONTROL PROBLEM; ELLIPTIC CONTROL PROBLEMS; INTERIOR POINT OPTIMIZATION METHOD; NEUMANN CONDITION; SEMILINEAR ELLIPTIC EQUATIONS; SEQUENTIAL QUADRATIC PROGRAMMING;

PROBLEM SOLVING;

CONTROL METHOD;

EID: 0034255203     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(00)00309-5     Document Type: Article

References (35)

1. SQP methods and their applications to numerical optimal control
2. A comparison of interior point methods and a Moreau-Yosida based active set strategy for constrained optimal control problems
3. Primal-dual strategy for constrained optimal control problems
4. Augmented Lagrangian techniques for elliptic state constrained optimal control problems
5. Issues in the direct transcription of optimal control problems to sparse nonlinear programs
6. The application of sparse nonlinear programming to trajectory optimization
7. Second order analysis for control constrained optimal control problems of semilinear elliptic systems
8. Optimal control of semilinear multistate systems with state constraints
9. An extension of Pontryagin's principle for state-constrained optimal control of semilinear elliptic equations and variational inequalities
10. Optimierungsmethoden und Sensitivitatsanalyse fur optimale Steuerprozesse mit Steuer- und Zustandsbeschrankungen, Dissertation
11. Study of an optimal control problem for diffusive nonlinear elliptic equations of logistic type
12. Control of an elliptic problem with pointwise state constraints
13. Boundary control with pointwise state constraints
14. Second order sufficient optimality conditions for a nonlinear elliptic control problem
15. Second order sufficient optimality conditions for some state constrained control problems of semilinear elliptic equations
16. LANCELOT, a fortran package for large-scale nonlinear optimization (Release A)
17. SNOPT: An SQP algorithm for large-scale constrained optimization
18. Regularized penalty methods for ill-posed optimal control problems with elliptic equations. Part I: Distributed control with bounded control set and state constraints
19. 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
20. Augmented Lagrangian-SQP methods for nonlinear optimal control problems of tracking type
21. On converting optimal control problems into nonlinear programming problems
22. Augmented Lagrangian-SQP techniques and their approximations
23. J. Math. Anal. Appl.
24. Optimal control of systems governed by partial differential equations
25. Non-homogeneous boundary value problems and applications, Vol. I
26. Optimization techniques for solving elliptic control problems with control and state constraints
27. The BPMPD interior point solver for convex quadratic problems, WP 98-8
28. Decision tree for optimization software
29. Optimal damping control and nonlinear elliptic systems
30. An interior point algorithm for nonconvex nonlinear programming