Finite-Time Chaos Control of the Chaotic Financial System Based on Control Lyapunov Function

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In this paper, we deal with the finite-time chaos control of the chaotic financial system. Based on the control Lyapunov function (CLF) theory, the control law are proposed to drive chaos to equilibria within finite time. Numerical simulations are given to show the effectiveness of the proposed controller.

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Periodical:

Edited by:

Qi Luo

Pages:

203-208

DOI:

10.4028/www.scientific.net/AMM.55-57.203

Citation:

Y. L. Wang et al., "Finite-Time Chaos Control of the Chaotic Financial System Based on Control Lyapunov Function", Applied Mechanics and Materials, Vols. 55-57, pp. 203-208, 2011

Online since:

May 2011

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$38.00

[1] Pecora LM, Carroll TL. Synchronization in chaotic systems. Phys Rev Lett. Vol. 64(1900), p.821.

[2] Mohammad Haeri, Amir Abbas Emadzadeh. Synchronizing different chaotic systems using active sliding mode control. Chaos Solitons Fractals . Vol. 31(2007), pp.119-29.

DOI: 10.1016/j.chaos.2005.09.037

[3] Chen HH, Lee CI and Yang PH. Adaptive synchronization of linearly coupled unified chaotic systems. Chaos Solitons Fractals. Vol. 40(2009), pp.589-606.

DOI: 10.1016/j.chaos.2007.08.005

[4] Mahboobi SH, Shahrokhi M and Pishkenari H. N, Observer-based control design for three well-known chaotic systems, Chaos Solitons Fractals. Vol. 29(2006), pp.381-92.

DOI: 10.1016/j.chaos.2005.08.042

[5] Peng CC, Chen CL, Robust chaotic control of Lorenz system by backstepping design, Chaos Solitons Fractals Vol. 37 (2008), pp.598-608.

DOI: 10.1016/j.chaos.2006.09.057

[6] Huang LL, Feng RP and Wang M. Synchronization of chaotic systems via nonlinear control Phys. Lett. A Vol. 320 (2004), pp.271-5.

[7] Xu. Y, Zhou. W, Fang. J, Hybrid dislocated control and general hybrid projective dislocated synchronization for the modified Lü chaotic system, Chaos Solitons Fractals Vol. 42 (2009), pp.1305-1315.

DOI: 10.1016/j.chaos.2009.03.023

[8] Wang H, Han ZZ, Xie QY, Zhang. Finite-time chaos synchronization of unified chaotic system with uncertain parameters, Commun Nonlinear Sci Numer Simulat Vol. 14 (2009), pp.2239-47.

[9] Feng Y, Sun L, Yu X. Finite time synchronization of chaotic systems with unmatched uncertainties. In: The 30th annual conference of the IEEE industrial electronics society, BusanKorea; (2004).

DOI: 10.1109/iecon.2004.1432272

[10] Junhai Ma, Yaqiang Cui, Lixia Liu: Hopf bifurcation and chaos of financial system on condition of specific combination of parameters, Jrl Syst Sci & Complexity Vol. 21 (2008), pp.250-259.

DOI: 10.1007/s11424-008-9108-8

[11] Gilles Millerioux, Christian Mira. Finite-time global chaos synchronization for piecewise linear maps. IEEE Trans Circuits Syst I. Vol. 48(2001), p.111–6.

DOI: 10.1109/81.903194

[12] E.D. Sontag, A universal' construction of Artstein, s theorem on nonlinear stabilization, Systems Control Lett. Vol. 13 (1989), p.117–123.

DOI: 10.1016/0167-6911(89)90028-5

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