Adaptive synchronization of a network of interconnected nonlinear Lur'e systems

Automation and Remote Control

Volumn 70, Issue 7, 2009, Pages 1190-1205

  Dzhunusov, I A ^a   Fradkov, A L ^b  

^a ST PETERSBURG STATE UNIVERSITY   (Russian Federation)

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

Author keywords

[No Author keywords available]

Indexed keywords

AUTOMATION; CONTROL;

ADAPTIVE CONTROL; ADAPTIVE SYNCHRONIZATIONS; DECENTRALIZED ALGORITHMS; INCOMPLETE MEASUREMENTS; LIPSCHITZ NONLINEARITIES; NON-LIPSCHITZ NONLINEARITIES; STRUCTURAL MATCHING; SYNCHRONIZABILITY;

GRADIENT METHODS;

EID: 68549133529     PISSN: 00051179     EISSN: None     Source Type: Journal    
DOI: 10.1134/S0005117909070108     Document Type: Conference Paper

References (19)

1. Voronov, V.A., Vvedevie v dinamiku slozhnykh upravlyaemykh sistem (Introduction to the Dynamics of Complex Control Systems), Moscow: Nauka, 1985.
2. Siljak, D.D., Decentralized Control of Complex Systems, ser. Mathematics in Science and Engineering, Boston: Academic, 1990, vol. 184.
3. Fradkov, A.L., Adaptivnoe upravlenie v slozhnykh sistemakh (Adaptive Control in Complex Systems), Moscow: Nauka, 1990.
4. Druzhinina, M.V. and Fradkov, A.L., Adaptive Decentralized Control of Interconnected Systems, in Proc. 14th World Congress of IFAC, Beijing, China, 1999, vol. L, pp. 175-180.
5. Mirkin, B.M., Adaptive Decentralized Control with Model Coordination, Autom. Remote Control, 1999, no. 1, pp. 73-81.
6. J.R. Fax R.M. Murray 2004 Information Flow and Cooperative Control of Vehicle Formations IEEE Trans. Automat. Control 49 9 1465 1476
7. Matveev, A.S. and Savkin, A.V., Estimation and Control over Communication Networks, Boston: Birkhäuser, 2008.
8. J. Lu G. Chen 2005 A Time-Varying Complex Dynamical Network Model and Its Controlled Synchronization Criteria IEEE Trans. Automat. Control 50 6 841 846
9. Yao, J., Hill, D.J., Zhi-Hong Guan, and Hua O. Wang, Synchronization of Complex Dynamical Networks with Switching Topology via Adaptive Control, in Proc. 45th IEEE Conf. Decision Control, San Diego, USA, 2006, pp. 2819-2824.
10. J. Zhou J.-A. Lu J. Lü 2006 Adaptive Synchronization of an Uncertain Complex Dynamical Network IEEE Trans. Automat. Control 51 4 652 656
11. Zhong, W.-S., Dimirovski, G.M., and Zhao, J., Decentralized Synchronization of an Uncertain Complex Dynamical Network, in Proc. 26th Am. Control Conf., New York, USA, 2007, pp. 1437-1442.
12. Miroshnik, I.V., Nikiforov, V.O., and Fradkov, A.L., Nelineinoe i adaptivnoe upravlenie slozhnymi dinamicheskimi sistemami (Nonlinear and Adaptive Control of Complex Dynamic Systems), St. Petersburg: Nauka, 2000.
13. A.L. Fradkov A.Yu. Markov 1997 Adaptive Synchronization of Chaotic Systems Based on Speed Gradient Method and Passification IEEE Trans. Circ. Syst. 44 10 905 912
14. V.A. Yakubovich 1962 Solution of Some Matrix Inequalities Encountered in Automatic Control Theory Dokl. Akad. Nauk SSSR 143 6 1304 1307
15. Fradkov, A.L., Passification of Nonsquare Linear Systems and Yakubovich-Kalman-Popov Lemma, Eur. J. Control, 2003, no. 6, pp. 573-582.
16. Cormen, T.H., Leiserson, Ch.E., and Rivest, R.L. Introduction to Algorithms, Boston: MIT Press, 1990.
17. Fomin, V.N., Fradkov, A.L., and Yakubovich, V.A., Adaptivnoe upravlenie dinamicheskimi ob"ektami (Adaptive Control of Dynamic Plants), Moscow: Nauka, 1981.
18. C. W. Wu L.O. Chua 1995 Synchronization in an Array of Linearly Coupled Dynamical Systems IEEE Trans. Circ. Syst.-I 42 8 430 447
19. Alligood, K., Sauer, T., and Yorke, J., Chaos: An Introduction to Dynamical Systems, New York: Springer-Verlag, 1996.