A stochastic decentralized control problem with noisy communication

SIAM Journal on Control and Optimization

Volumn 41, Issue 3, 2003, Pages 975-990

  Shoarinejad, Kambiz ^a   Speyer, Jason L ^b   Kanellakopoulos, Ioannis ^c  

^a Innovics Wireless Inc   (United States)

^b University of California   (United States)

^c Voyan Technology   (United States)

Author keywords

Asymptotic analysis; Decentralized systems; Optimal stochastic control

Indexed keywords

ASYMPTOTIC STABILITY; OPTIMAL CONTROL SYSTEMS; PROBLEM SOLVING; STOCHASTIC CONTROL SYSTEMS; UNCERTAIN SYSTEMS;

OPTIMAL STOCHASTIC CONTROL; WITSENHAUSEN PROBLEM;

DECENTRALIZED CONTROL;

EID: 0037860826     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0363012901385629     Document Type: Article

References (12)

1. H. S. Witsenhausen, A counterexample in stochastic optimum control, SIAM J. Control, 6 (1968), pp. 131-147.
2. D. A. Castanon and N. R. Sandell, Jr., Signaling and uncertainty: A case study, in Proceedings of the IEEE Conference on Decision and Control, 1978, pp. 1140-1144.
3. T. M. Cover and J. A. Thomas, Elements of Information Theory, Wiley, New York, 1991.
4. M. L. Cohen, The Fisher information and convexity, IEEE Trans. Inform. Theory, 14 (1968), pp. 591-592.
5. M. Baglietto, T. Parisini, and R. Zoppoli, Numerical solutions to the Witsenhausen counterexample by approximating networks, IEEE Trans. Automat. Control, 46 (2001), pp. 1471-1477.
6. M. Baglietto, T. Parisini, and R. Zoppoli, Nonlinear approximations for the solution of team optimal control problems, in Proceedings of the 36th IEEE Conference on Decision and Control, Vol. 5, 1997, pp. 4592-4594.
7. M. Baglietto, T. Parsini, and R. Zoppoli, Neural networks for the solution of information distributed optimal control problems, in Proceedings of 6th European Symposium on Artificial Neural Networks, ESANN'98, 1998, pp. 79-84.
8. Y. C. Ho and T. S. Chang, Another look at the non-classical information structure problem, IEEE Trans. Automat. Control, 25 (1980), pp. 537-540.
9. C. H. Papadimitriou and J. Tsitsiklis, Intractable problems in control theory, SIAM J. Control Optim., 24 (1986), pp. 639-654.
10. J. T. Lee, E. Lau, and Y. C. Ho, The Witsenhausen counter-example: A hierarchical search approach for nonconvex optimization problems, IEEE Trans. Automat. Control, 46 (2001), pp. 382-397.
11. J. T. Lee, E. Lau, and Y. C. Ho, On the Global Optimum of the Witsenhausen Counter-Example, manuscript.
12. A. E. Bryson, Jr., and Y. C. Ho, Applied Optimal Control, Taylor and Francis, Bristol, PA, 1975.