Sliding Mode Control Based Global Chaos Synchronization of Four-Scroll Attractors
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K.T. Alligood, T. Sauer and J.A. Yorke, Chaos: An Introduction to Dynamical Systems, New York: Springer-Verlag, 1997.
L.M. Pecora and T.L. Carroll, “Synchronization in chaotic systems,” Phys. Rev. Letters, vol. 64, pp. 821-824, 1990.
M. Lakshmanan and K. Murali, Chaos in Nonlinear Oscillators: Controlling and Synchronization, Singapore: World Scientific, 1996.
S.K. Han, C. Kerrer and Y. Kuramoto, “Dephasing and bursting in coupled neural oscillators,” Phys. Rev. Letters, vol. 75, pp. 3190-3193, 1995.
B. Blasius, A. Huppert and L. Stone, “Complex dynamics and phase synchronization in spatially extended ecological system,” Nature, vol. 399, pp. 354-359, 1999.
K.M. Cuomo and A.V. Oppenheim, “Circuit implementation of synchronized chaos with applications to communications,” Physical Review Letters, vol. 71, pp. 65-68, 1993.
L. Kocarev and U. Parlitz, “General approach for chaotic synchronization with applications to communication,” Physical Review Letters, vol. 74, pp. 5028-5030, 1995.
K. Murali and M. Lakshmanan, “Secure communication using a compound signal using sampled-data feedback,” Applied Mathematics and Mechanics, vol. 11, pp. 1309-1315, 2003.
E. Ott, C. Grebogi and J.A. Yorke, “Controlling chaos,” Phys. Rev. Lett., vol. 64, pp. 1196-1199, 1990.
M.C. Ho and Y.C. Hung, “Synchronization of two different chaotic systems using generalized active network,” Physics Letters A, vol. 301, pp. 424-428, 2002.
L. Huang, R. Feng and M. Wang, “Synchronization of chaotic systems via nonlinear control,” Physical Letters A, vol. 320, pp. 271-275, 2004.
H.K. Chen, “Global chaos synchronization of new chaotic systems via nonlinear control,” Chaos, Solitons and Fractals, vol. 23, pp. 1245-1251, 2005.
J. Lu, X. Wu, X. Han and J. Lü, “Adaptive feedback synchronization of a unified chaotic system,” Physics Letters A, vol. 329, pp. 327-333, 2004.
S.H. Chen and J. Lü, “Synchronization of an uncertain unified system via adaptive control,” Chaos, Solitons and Fractals, vol. 14, pp. 643-647, 2002.
J.H. Park and O.M. Kwon, “A novel criterion for delayed feedback control of time-delay chaotic systems,” Chaos, Solitons and Fractals, vol. 17, pp. 709-716, 2003.
X. Wu and J. Lü, “Parameter identification and backstepping control of uncertain Lü system,” Chaos, Solitons and Fractals, vol. 18, pp. 721-729, 2003.
K. Murali and M. Lakshmanan, “Secure communication using a compound signal using sampled-data feedback,” Applied Mathematics and Mechanics, vol. 11, pp. 1309-1315, 2003.
J.E. Slotine and S.S. Sastry, “Tracking control of nonlinear systems using sliding surface with application to robotic manipulators,” Internat. J. Control, vol. 38, pp. 465-492, 1983.
V.I. Utkin, “Sliding mode control design principles and applications to electric drives,” IEEE Transactions on Industrial Electronics, vol. 40, pp. 23-36, 1993.
R. Saravanakumar, K. Vinoth Kumar and K.K. Ray, “Sliding mode control of induction motor using simulation approach,” Internat. J.Control of Computer Science and Network Security, vol. 9, pp. 93-104, 2009.
W. Liu and G. Chen, “Can a three-dimensional smooth autonomous quadratic chaotic system generate a single four-scroll attractor?” Internat. J. Bifurcat. Chaos, vol. 14, pp. 1395-1403, 2004.
L. Wang, “3-scroll and 4-scroll chaotic attractors generated from a new 3-D quadratic autonomous system,” Nonlinear Dynamics, vol. 56, pp. 453-462, 2009.
W. Hahn, The Stability of Motion, Berlin: Springer-Verlag, 1967.
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