A virtual control concept for state constrained optimal control problems

Computational Optimization and Applications

Volumn 43, Issue 2, 2009, Pages 213-233

  Krumbiegel, K ^a   Rosch A ^a  

^a JOHANN RADON INSTITUTE FOR COMPUTATIONAL AND APPLIED MATHEMATICS   (Austria)

Author keywords

Boundary control; Elliptic equation; Optimal control; Regularization; State constraints; Virtual control

Indexed keywords

BOUNDARY CONTROL; ELLIPTIC EQUATION; OPTIMAL CONTROL; REGULARIZATION; STATE CONSTRAINTS; VIRTUAL CONTROL;

GEOMETRY;

OPTIMIZATION;

EID: 67349131429     PISSN: 09266003     EISSN: 15732894     Source Type: Journal    
DOI: 10.1007/s10589-007-9130-0     Document Type: Article

References (11)

1. N. Arada J.P. Raymond 2000 Optimal control problems with mixed control-state constraints SIAM J. Control Optim. 39 1391 1407
2. M. Bergounioux K. Kunisch 2002 On the structure of the Lagrange multiplier for state-constrained optimal control problems Syst. Control Lett. 48 169 176
3. E. Casas 1993 Boundary control of semilinear elliptic equations with pointwise state constraints SIAM J. Control Optim. 31 993 1006 (Pubitemid 23700354)
4. Cherednichenko, S., Rösch, A.: Error estimates for the regularization of optimal control problems with pointwise control and state constraints. ZAA (2008, to appear)
5. M. Hintermüller K. Kunisch 2006 Path-following methods for a class of constrained minimization problems in function space SIAM J. Optim. 17 1 159 187
6. M. Hintermüller K. Ito K. Kunisch 2003 The primal-dual active set method as a semi-smooth Newton method SIAM J. Optim. 13 865 888 (Pubitemid 36971115)
7. Meyer, C., Prüfert, U., Tröltzsch, F.: On two numerical methods for state-constrained elliptic control problems. Preprint 5-2005, Inst. of Math TU Berlin (2005)
8. C. Meyer A. Rösch F. Tröltzsch 2006 Optimal control of PDEs with regularized pointwise state constraints Comput. Optim. Appl. 33 2-3 209 228
9. Tröltzsch, F.: Optimale Steuerung partieller Differentialgleichungen-Theorie, Verfahren und Anwendungen. Vieweg, Wiesbaden (2005)
10. Tröltzsch, F., Yousept, I.: A regularization method for the numerical solution of elliptic boundary control problems with pointwise state constraints. COAP (2006, accepted for publication)
11. M. Ulbrich 2003 Semismooth Newton methods for operator equations in function spaces SIAM J. Optim 13 805 842 (Pubitemid 36971113)