Distributed design methods for linear quadratic control and their limitations

IEEE Transactions on Automatic Control

Volumn 55, Issue 9, 2010, Pages 2085-2093

  Langbort, Cédric ^a   Delvenne, Jean Charles ^b  

^a United States of America   (United States)

^b UNIVERSITY OF NAMUR   (Belgium)

Author keywords

Distributed computing; Distributed control; Optimal control

Indexed keywords

A PLANTS; CLOSED-LOOP PERFORMANCE; CONTINUOUS TIME; DESIGN METHOD; DESIGN STRATEGIES; DISCRETE-TIME; DISTRIBUTED COMPUTING; DISTRIBUTED CONTROL; DISTRIBUTED DESIGN; INFORMATION METRICS; LINEAR QUADRATIC CONTROL; OPTIMAL CONTROLS; TIME-INVARIANT PLANT; WORST-CASE PERFORMANCE;

CONTROL; DESIGN; LINEAR CONTROL SYSTEMS; OPTIMIZATION;

CONTROLLERS;

EID: 77956547050     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2010.2044270     Document Type: Article

References (9)

1. B. Bollobás, Graph Theory. New York: Springer Verlag, 1979, vol. 63, Graduate Texts in Mathematics.
2. L. Hurwicz, "On informational decentralization and efficiency in resource allocation mechanisms," in Studies in Mathematical Economics, S. Reiter, Ed. Providence, RI: The Mathematical Association of America, 1986, vol. 25, MAA studies in mathematics
3. S. Irani and Y. Rabani, "On the value of information in distributed decision making," SIAM J. Comput., vol. 25, no. 3, pp. 498-519, Jun. 1996.
4. P. Jaillet and M. Wagner, "Online routing problems: Value of advanced information as improved competitive ratios," Transport. Sci., vol. 40, pp. 200-210, 2006.
5. Z. Q. Luo, "Communication Complexity of Some Problems in Distributed Computation" Sc.D. dissertation, Dept. Elect. Eng. Comp. Sci., MIT, Cambridge, MA, 1989 [Online]. Available: http://hdl.handle.net/172L1/14344
6. M. S. Manasse, L. A. McGeoch, and D. D. Sleator, " Competitivealgorithms for on-line problems," in Proc. 20th ACM Symp. Theory Comput., 1988, pp. 322-333.
7. K. Mount and S. Reiter, "The informational size of message spaces," J. Econ. Theory, vol. 8, no. 2, pp. 161-192, 1974.
8. C. H. Papadimitriou and M. Yannakakis, "Linear programming without the matrix," in Proc. 25th ACM Symp. Theory Comput., 1993, pp. 121-127.
9. T. Van Zandt, "Decentralized information processing in the theory of organizations," in Contemporary Economic Development Reviewed, M. Sertel, Ed. New York: MacMillan, 1997, vol. 4, Enterprise and its Environment.