{"title":"An Adaptive Approach to Synchronization of Two Chua's Circuits","authors":"Majid Reza Naseh, Mohammad Haeri","volume":6,"journal":"International Journal of Electrical and Computer Engineering","pagesStart":930,"pagesEnd":934,"ISSN":"1307-6892","URL":"https:\/\/publications.waset.org\/pdf\/13696","abstract":"
This paper introduces an adaptive control scheme to synchronize two identical Chua's systems. Introductory part of the paper is presented in the first part of the paper and then in the second part, a new theorem is proposed based on which an adaptive control scheme is developed to synchronize two identical modified Chua's circuit. Finally, numerical simulations are included to verify the effectiveness of the proposed control method.<\/p>\r\n","references":"[1] B.R .Andrievskii, A.L. Fradkov, \"Control of chaos: methods and\r\napplications\". Automation and Remote Control, vol. 65, no. 4, 2004, pp.\r\n505-533.\r\n[2] M.T. Yassen, \"Adaptive control and synchronization of a modified Chua\r\ncircuit system\", Applied Mathematics and Computation, vol. 135, 2003,\r\npp. 113-128.\r\n[3] K. Pyragas, \"Continuous control of chaos by self-controlling feedback\",\r\nPhys. Lett. A 170, 1992.\r\n[4] U. Dressler, G. Nitsche, \"Controlling chaos using time delay\r\ncoordinates\", Phys. Rev. Lett , vol. 68, no. 1 ,1992.\r\n[5] C. Wu, T. Yang, and L.O. Chua, \"On adaptive synchronization and\r\ncontrol of nonlinear dynamical Systems\", Int. J. Bifurcation Chaos, vol.\r\n6, no. 3, 1996, pp. 455-472.\r\n[6] C.W. Wu and L.O. Chua, \"A unified framework for synchronization and\r\ncontrol of dynamical systems\", Int. J. Bifurcation Chaos, vol. 4, no. 4,\r\n1994, pp. 979-998.\r\n[7] M.D. Bernardo, \"An adaptive approach to the control and\r\nsynchronization of continuous-time chaotic Systems\", Int. J. Bifurcation\r\nChaos, vol. 6, no. 3, 1996, pp.557-568.\r\n[8] L.M. Pecora and T.L. Carroll, \"Synchronization in chaotic circuits\",\r\nPhys. Rev. Lett., vol. 64, no. 8, 1990, pp. 821-824.\r\n[9] L.M Pecora and T.L. Carroll, \"Driving systems with chaotic signal\",\r\nPhys. Rev. A, vol. 44, no. 4, 1991, pp. 2374-2378.\r\n[10] S. Boccaletti, C. Grebogi, Y.-C. Lai, H. Mancini, and D. Maza, \"The\r\nControl of Chaos: Theory and Application\", Physics Reports, vol. 329,\r\n2000, pp. 103-197.\r\n[11] J. Sun and Y. Zhang, \"Impulsive control and synchronization of Chua\r\noscillators\", Mathematics and Computers in Simulation, vol. 66, 2004,\r\npp. 499-508.\r\n[12] X.X. Liao, G. Chen and H.O. Wang, \"On global synchronization of\r\nchaotic systems\", Proc. Amer. Contr. Conf., Anchorange, Alaska, USA,\r\nvol. 8, no. 10, 2002, pp.2255-2259.\r\n[13] X.X. Liao, Mathematical Theory and Application of Stability, Huazhong\r\nNormal University Press, China, 2001.","publisher":"World Academy of Science, Engineering and Technology","index":"Open Science Index 6, 2007"}