Controlled synchronization under information constraints

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 78, Issue 3, 2008, Pages

  Fradkov, Alexander L ^a   Andrievsky, Boris ^a   Evans, Robin J ^b  

^a INSTITUTE OF PROBLEMS OF MECHANICAL ENGINEERING   (Russian Federation)

^b UNIVERSITY OF MELBOURNE   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

CHANNEL CAPACITY; COMPUTATIONAL METHODS; COMPUTER SIMULATION; CONTROL THEORY; ELECTRIC NETWORK ANALYSIS; LARGE SCALE SYSTEMS; OBSERVABILITY; SYNCHRONIZATION;

CHUA SYSTEMS; COMMUNICATION CHANNELS; CONTROLLED SYNCHRONIZATION; FIRST ORDERS; INFORMATION CONSTRAINTS; INFORMATION TRANSMISSION; LIMITED CAPACITY; LIMITED INFORMATION; MASTER-SLAVE SYNCHRONIZATION; MASTER-SLAVE SYSTEMS; NON LINEARITIES; OUTPUT FEEDBACK CONTROLS; PASSIFICATION; PHASE CONDITIONS; PHASE PROPERTIES; SYNCHRONIZATION ERRORS; THEORETICAL ANALYSIS; TRANSMISSION ERROR; UPPER AND LOWER BOUNDS; UPPER BOUNDS;

CHAOTIC SYSTEMS;

EID: 51849146965     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.78.036210     Document Type: Article

References (22)

1. I. I. Blekhman, Synchronization in Science and Technology (ASME Press, New York, 1988).
2. A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization: A Universal Concept in Nonlinear Sciences (Cambridge University Press, Cambridge, U.K., 2001).
3. L. M. Pecora and T. L. Carroll, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.64.821 64, 821 (1990).
4. I. I. Blekhman, A. L. Fradkov, H. Nijmeijer, and A. Y. Pogromsky, Syst. Control Lett. SCLEDC 0167-6911 10.1016/S0167-6911(97)00047-9 31, 299 (1997).
5. A. L. Fradkov and A. Y. Pogromsky, Introduction to Control of Oscillations and Chaos (World Scientific, Singapore, 1998).
6. A. L. Fradkov, Cybernetical Physics: From Control of Chaos to Quantum Control (Springer-Verlag, Berlin, 2007).
7. G. N. Nair and R. J. Evans, Automatica ATCAA9 0005-1098 10.1016/S0005-1098(02)00285-6 39, 585 (2003).
8. G. N. Nair and R. J. Evans, SIAM J. Control Optim. SJCODC 0363-0129 10.1137/S0363012902402116 43, 413 (2004).
9. G. N. Nair, R. J. Evans, I. Mareels, and W. Moran, IEEE Trans. Autom. Control IETAA9 0018-9286 10.1109/TAC.2004.834105 49, 1585 (2004).
10. L. M. J. Bazzi and S. K. Mitter, IEEE Trans. Inf. Theory IETTAW 0018-9448 10.1109/TIT.2005.847727 51, 2103 (2005).
11. G. N. Nair, F. Fagnani, S. Zampieri, and R. Evans, Proc. IEEE IEEPAD 0018-9219 10.1109/JPROC.2006.887294 95, 108 (2007).
12. A. L. Fradkov, B. Andrievsky, and R. J. Evans, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.73.066209 73, 066209 (2006).
13. H. Nijmeijer and I. M. Y. Mareels, IEEE Trans. Circuits Syst., I: Fundam. Theory Appl. ITCAEX 1057-7122 10.1109/81.633877 44, 882 (1997).
14. V. L. Syrmos, C. T. Abdallah, P. Dorato, and K. Grigoriadis, Automatica ATCAA9 0005-1098 10.1016/S0005-1098(96)00141-0 33, 125 (1997).
15. J. D. Stefanovski and G. M. Dimirovski, Int. J. Syst. Sci. IJSYA9 0020-7721 10.1080/00207720600783256 37, 643 (2006).
16. R. W. Brockett and D. Liberzon, IEEE Trans. Autom. Control IETAA9 0018-9286 10.1109/9.867021 45, 1279 (2000).
17. D. Liberzon, Automatica ATCAA9 0005-1098 10.1016/S0005-1098(03)00151-1 39, 1543 (2003).
18. S. Tatikonda and S. Mitter, IEEE Trans. Autom. Control IETAA9 0018-9286 10.1109/TAC.2004.831187 49, 1056 (2004).
19. A. L. Fradkov, I. V. Miroshnik, and V. O. Nikiforov, Nonlinear and Adaptive Control of Complex Systems (Kluwer, Dordrecht, 1999).
20. V. S. Afraimovich, S. N. Chow, and J. K. Hale, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(96)00276-X 103, 442 (1997).
21. V. N. Belykh, I. V. Belykh, and M. Hasler, Physica D PDNPDT 0167-2789 10.1016/j.physd.2004.03.012 195, 159 (2004).
22. A. L. Fradkov, Autom. Remote Control (Engl. Transl.) AURCAT 0005-1179 35, 1960 (1974).