A Linear Programming Approach to Large-Scale Linear Optimal Control Problems

IEEE Transactions on Automatic Control

Volumn 40, Issue 5, 1995, Pages 971-977

  Papageorgiou, Markos ^b  

^a TECHNICAL UNIVERSITY OF MUNICH   (Germany)

^b TECHNICAL UNIVERSITY OF CRETE   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CALCULATIONS; COMPUTER NETWORKS; COMPUTER WORKSTATIONS; CONGESTION CONTROL (COMMUNICATION); DATA COMMUNICATION SYSTEMS; DISCRETE TIME CONTROL SYSTEMS; LARGE SCALE SYSTEMS; LINEAR CONTROL SYSTEMS; LINEAR PROGRAMMING; PROBLEM SOLVING; REAL TIME SYSTEMS;

DATA COMMUNICATION NETWORKS; STATE CONSTRAINTS;

OPTIMAL CONTROL SYSTEMS;

EID: 0029306944     PISSN: 00189286     EISSN: 15582523     Source Type: Journal    
DOI: 10.1109/9.384243     Document Type: Article

References (12)

1. D. P. Bertsekas and R. Gallager, Data Networks. Englewood Cliffs, NJ: Prentice-Hall, 1987.
2. M. J. Best and K. Ritter, Linear Programming: Active Set Analysis and Computer Programms. Englewood Cliffs, NJ: Prentice-Hall, 1989.
3. M. J. Blanchini, “Control synthesis for discrete time systems with control and state bounds in the presence of disturbances,” J. Optim. Theory. Appl. vol. 65, pp. 29-40, 1990.
4. G. C. D’Ans and D. G. Gazis, “Optimal control of oversaturated store-and-forward transportation networks,” Transportation Sci. vol. 10, pp. 1-19, 1976.
5. D. K. Merchant and G. L. Nemhauser, “A model and algorithm for the dynamic traffic assignment problem,” Transportation Sci. vol. 12, pp. 183-199, 1978.
6. J. C. Moreno Banos, M. Papageoigiou, and C. Schaffner, “Integrated optimal routing and congestion control in packet-switched networks,” Preprints of the IFAC Large-Scale System Symposium, Beijing, PR China, 1992, pp. 59-64.
7. J. C. Moreno Baños and M. Papageorgiou, “A linear programming approach to large-scale linear optimal control problems,” Dynamic Systems and Simulation Laboratory, Technical University of Crete, Int., Rep. 1994-1.
8. S. Olcers, C. Harza, and A. Roch, “Application of linear and dynamic programming to the optimization of the production of hydroelectric power,” Optimal Contr. Appl. Methods, vol. 6, pp. 43-56, 1985.
9. M. Papageorgiou, “Certainty equivalent open-loop feedback control applied to multireservoir networks,” IEEE Trans. Automat. Contr. vol. 33, pp. 392-399, 1988.
10. A. Segall, “The modelling of adaptive routing in data-communication networks,” IEEE Trans. Communications, vol. COM-27, pp. 85-95, 1977.
11. K. L. Teo, Z. S. Wu, and D. J. Clements, “A computational method for convex optimal control problems involving linear hereditary systems,” Int. J. Syst. Sci. vol. 12, pp. 1045-1060, 1981.
12. L. A. Zadek, “On optimal control and linear programming,” IRE Trans. Automat. Contr. vol. 7, pp. 45-46, 1962.