Multitime optimal control with area integral costs on boundary

Balkan Journal of Geometry and its Applications

Volumn 16, Issue 2, 2011, Pages 138-154

  Udrişte, Constantin ^a   Bejenaru, Andreea ^a  

^a UNIVERSITY POLITEHNICA OF BUCHAREST   (Romania)

Author keywords

Boundary optimal problems; Multitime maximum principle; Multitime needle variations

Indexed keywords

EID: 79954480177     PISSN: 12242780     EISSN: 12242780     Source Type: Journal    
DOI: None     Document Type: Article

References (26)

1. N. U. Ahmed, Elements of Finite-Dimensional Systems and Control Theory, Longman Scientific & Technical, 1988.
2. V. Barbu, Optimal Control of Variational Inequalities, Pitman, London, 1984.
3. L. Cesari, Existence theorems for abstract multidimensional control problems, JOTA, 6, 3 (1970), 210-236.
4. L. C. Evans, An Introduction to Mathematical Optimal Control Theory, Lecture Notes, University of California, Department of Mathematics, Berkeley, 2010.
5. I.V. Kanatchikov, On quantization of field theories in polymomentum variables, in Particles, Fields and Gravitation, Proc. Int. Conf., Lodz 1998, eds. K. Smolinski and J. Rembielinski (AIP Proc.), 1998.
6. E. B. Lee, L. Markus, Foundations of Optimal Control Theory, Wiley, 1967.
7. J. Macki, A. Strauss, Introduction to Optimal Control, Springer, 1982.
8. S. Pickenhain, M. Wagner, Piecewise continuous controls in Dieudonne-Rashevsky type problems, JOTA, 127 (2005), 145-163.
9. S. Pickenhain, M. Wagner, Pontryaguin Principle for state-constrained control problems governed by first-order PDE system, JOTA, 107 (2000), 297-330.
10. M. Pirvan, C. Udrişte, Optimal control of electromagnetic energy, Balkan J. Geom. Appl. 15, 1 (2010), 131-141.
11. L. Pontriaguine, V. Boltianski, R. Gamkrelidze, E. Michtchenko, Théorie Mathématique des Processus Optimaux, Edition MIR, Moscou, 1974.
12. C. Udrişte, Equivalence of multitime optimal control problems, Balkan J. Geom. Appl. 15, 1 (2010), 155-162.
13. C. Udrişte, Finsler Optimal Control and Geometric Dynamics, Mathematics and Computers In Science and Engineering, Proc. of the American Conf. on Applied Mathematics, Cambridge, Massachusetts, 2008, 33-38.
14. C. Udrişte, Finsler-Lagrange-Hamilton structures associated to control systems, Editors M. Anastasiei, P.L. Antonelli, Finsler and Lagrange Geometries, Proc. of a Conf. held on August 26-31, 2001, Iassy, Romania, Kluwer Academic Publishers, 2003, 233-243.
15. C. Udrişte, Lagrangians constructed from Hamiltonian systems, Mathematics and Computers in Business and Economics, Proc. of the 9th WSEAS Int. Conf. on Mathematics a Computers in Business and Economics(MCBE-08), Bucharest, Romania, June 24-26, 2008, 30-33.
16. C. Udrişte, Maxwell geometric dynamics, European Computing Conf., Vouliagmeni Beach, Athens, Greece, September 24-26, 2007; Part 15, Theoretical Approaches in Information Science, Chapter 5, Springer, 2008, 1597-1609.
17. C. Udrişte, Multitime controllability, observability and bang-bang principle, Journal of Optimization Theory and Applications, 139, 1 (2008), 141-157.
18. C. Udrişte, Multitime maximum principle, Short Communication at Int. Congress of Mathematicians, Madrid, August 22-30, 2006; Plenary Lecture at 6-th WSEAS Int. Conf. on Circuits, Systems, Electronics, Control and Signal Processing (CSECS'07) and 12-th WSEAS Int. Conf. on Applied Mathematics, Cairo, Egypt, December 29-31, 2007.
19. C. Udrişte, Multitime stochastic control theory, Selected Topics on Circuits, Systems, Electronics, Control and Signal Processing, Proc. of the 6-th WSEAS Int. Conf. on Circuits, Systems, Electronics, Control and Signal Processing (CSECS'07), Cairo, Egypt, December 29-31, 2007, 171-176.
20. C. Udrişte, Nonholonomic approach of multitime maximum principle, Balkan J. Geom. Appl. 14, 2 (2009), 101-116.
21. C. Udrişte, Simplified multitime maximum principle, Balkan J. Geom. Appl. 14, 1 (2009), 102-119.
22. C. Udrişte, L. Matei, Lagrange-Hamilton Theories (in Romanian), Monographs and Textbooks 8, Geometry Balkan Press, Bucharest, 2008.
23. C. Udrişte, I. Tevy, Multitime Euler-Lagrange dynamics, Proc. of the 7th WSEAS Int. Conf. on Systems Theory and Scientific Computation (ISTASC'07), Vouliagmeni Beach, Athens, Greece, August 24-26, 2007, 66-71.
24. C. Udrişte, I. Tevy, Multitime Euler-Lagrange-Hamilton theory, WSEAS Transactions on Mathematics, 6, 6 (2007), 701-709.
25. M. Wagner, On nonconvex relaxation properties of multidimensional problems, Ed. Alberto Seeger, Recent Advances in Optimization, Springer, 2006, 233-250.
26. M. Wagner, Pontryaguin maximum principle for Dieudonne-Rashevsky type problems involving Lipcshitz functions, Optimization, 46 (1999), 165-184.