This paper presents finite-time chaos synchronization of time-delay chaotic systems with uncertain parameters. According to the proposed method, a lot of coupled items can be treated as zero items. Thus, the whole system can be simplified greatly. Based on robust chaotic synchronization, secure communication can be realized with a wide range of parameter disturbance and time-delay. Numerical simulations are provided to illustrate the effectiveness of the proposed method.
ChangchienSKHuangCKNienHH. (2009) Synchronization of the chaotic secure communication system with output state delay. Chaos, Solitons and Fractals39(4): 1578–1587.
2.
EmmanuelMMichelDNimaY. (2008) Finite-time stability and stabilization of time-delay systems. Systems and Control Letters57(7): 561–566.
3.
HaleJK (1977) Theory of Functional Differential Equations. Berlin: Springer.
4.
JiangGPZhengWXChenGR (2004) Global chaos synchronization with channel time-delay. Chaos, Solitons and Fractals20(2): 267–275.
5.
KazemyAFarrokhiM (2016) Synchronization of chaotic Lur’e systems with state and transmission line time delay: A linear matrix inequality approach. Transactions of the Institute of Measurement and Control. Epub ahead of print 10 May. DOI: 10.1177/0142331216644497.
6.
LiDCaoJD (2015) Fuzzy finite-time stability of chaotic systems with time-varying delay and parameter uncertainties. Mathematical Problems in Engineering2015: 1–7.
7.
LiLXPengHPYangYX. (2009) On the chaotic synchronization of Lorenz systems with time-varying lags. Chaos, Solitons and Fractals41(2): 783–794.
8.
MeiJJiangMHWangB. (2013) Finite-time parameter identification and adaptive synchronization between two chaotic neural networks. Journal of the Franklin Institute350(6): 1617–1633.
9.
MohammadPASohrabKGhassemA (2011) Finite-time synchronization of two different chaotic systems with unknown parameters via sliding mode technique. Applied Mathematical Modelling35(6): 3080–3091.
10.
ShahverdievEMBayramovPAQocayevaMV (2013) Inverse chaos synchronization between bidirectionally coupled variable multiple time delay systems. Optik124(18): 3427–3429.
11.
ShahverdievEMHashimovRHNurievRA. (2006) Inverse chaos synchronization in linearly and nonlinearly coupled systems with multiple time-delays. Chaos Solitons and Fractals29(4): 838–844.
12.
SunJ (2004) Global synchronization criteria with channel time-delay for chaotic time-delay system. Chaos, Solitons and Fractals21(4): 967–975.
13.
WangHHanZZXieQY. (2009) Finite-time chaos control of unified chaotic systems with uncertain parameters. Nonlinear Dynamics55(4): 323–328.
14.
WangHWuJPShengXS. (2015a) A new stability result for nonlinear cascade time-delay system and its application in chaos control. Nonlinear Dynamics80(1–2): 221–226.
15.
WangHZhangXLWangXH. (2012) Finite time chaos control for a class of chaotic systems with input nonlinearities via TSM scheme. Nonlinear Dynamics69(4): 1941–1947.
16.
WangWPPengHPLiLX. (2015b) Finite-time function projective synchronization in complex multi-links networks with time-varying delay. Neural Processing Letters41(1): 71–88.
17.
WangXYWangMJ (2009) A chaotic secure communication scheme based on observer. Communications in Nonlinear Science and Numerical Simulation14: 1502–1508.
18.
WeiQWangXYHuXP (2014) Finite-time hybrid projective synchronization of unified chaotic system. Transactions of the Institute of Measurement and Control36(8): 1069–1073.
19.
YangRMWangYZ (2012) Finite-time stability and stabilizaiton of a class of nonlinear time-delay systems. SIAM Journal on Control and Optimization50(5): 3113–3131.
