[1]
|
Podlubny, I. (1999) Fractional Differential Equations. Academic Press Publishers, New York.
|
[2]
|
Li, Y., Chen, Y.Q. and Podlubny, I. (2009) Mittag-Leffler Stability of Fractional Order Nonlinear Dynamic Systems. Automatica, 45, 1965-1969.
|
[3]
|
Matignon, D. (1996) Stability Results for Fractional Differential Equations with Applications to Control Processing. Computational Engineering in Systems Applications, 2, 963-968.
|
[4]
|
Li, C.P., Deng, W.H. and Xu, D. (2006) Chaos Synchronization of the Chua System with a Fractional Order. Physica A, 360, 171-185.
|
[5]
|
Kuntanapreeda, S. (2012) Robust Synchronization of Fractional-Order Unified Chaotic Systems via Linear Control. Computers and Mathematics with Applications, 63, 183-190.
|
[6]
|
Chen, L.P., Chai, Y., Wu, R.C. and Yang, J. (2012) Stability and Stabilization of a Class of Nonlinear Fractional-Order Systems with Caputo Derivative. IEEE Transactions on Circuits and Systems-II: Express Briefs, 59, 602-606.
https://doi.org/10.1109/TCSII.2012.2206936
|
[7]
|
Yin, C., Zhong, S.M. and Chen, W.F. (2012) Design of Sliding Mode Controller for a Class of Fractional-Order Chaotic Systems. Communications in Nonlinear Science and Numerical Simulation, 17, 356-366.
|
[8]
|
Wen, X.J., Wu, Z.M. and Lu, J.G. (2008) Stability Analysis of a Class of Nonlinear Fractional-Order Systems. IEEE Transactions on Circuits and Systems II: Express Briefs, 55, 1178-1182. https://doi.org/10.1109/TCSII.2008.2002571
|
[9]
|
Fallahi, K. and Leung, H. (2010) A Chaos Secure Communication Scheme Based on Multiplication Modulation. Communications in Nonlinear Science and Numerical Simulation, 25, 368-383.
|
[10]
|
Aghababa, M.P. (2014) A Lyapunov-Based Control Scheme for Robust Stabilization of Fractional Chaotic Systems. Nonlinear Dynamics, 78, 2129-2140. https://doi.org/10.1007/s11071-014-1594-8
|
[11]
|
Du, H.B., Cheng, Y.Y., He, Y.G. and Jia, R.T. (2014) Finite-Time Output Feedback Control for a Class of Second- Order Nonlinear Systems with Application to DC-DC Buck Converters. Nonlinear Dynamics, 78, 2021-2030.
https://doi.org/10.1007/s11071-014-1593-9
|
[12]
|
Huang, L.L. and Ma, N. (2012) A New Method for Projective Synchronization of Different Fractional-Order Chaotic Systems. Acta Physica Sinica, 61, 160501-160506.
|
[13]
|
Rivero, M., Trujillo, J., Vazquez, L. and Velasco, M. (2011) Fractional Dynamics of Populations. Applied Mathematics and Computation, 218, 1089-1095.
|
[14]
|
谭文, 李志攀, 王耀南, 等. 一个混沌系统的同步控制研究[J]. 计算机工程与应用, 2011, 47(4): 219-222.
|
[15]
|
王兴元, 孟娟. 自治混沌系统的线性和非线性广义同步[J]. 物理学报, 2008, 57(2): 726-730.
|
[16]
|
王兴元, 王勇. 基于线性分离的自治混沌系统的投影同步[J]. 物理学报, 2007, 56(5): 2498-2503.
|
[17]
|
赵灵冬, 胡建兵, 刘旭辉. 参数未知的分数阶超混沌Lorenz系统的自适应追踪控制与同步[J]. 物理学报, 2010, 59(4): 2305-2309.
|
[18]
|
赵建利, 王京, 王慧. 洛伦兹-哈肯激光混沌系统有限时间稳定主动控制方法研究[J]. 物理学报, 2011, 61(11): 110209.
|
[19]
|
Shen, J. and Lam, J. (2014) Non-Existence of Finite-Time Stable Equilibria in Fractional-Order Nonlinear Systems. Automatica, 50, 547-551.
|
[20]
|
陈国培, 杨莹, 李俊民. 非线性系统有限时间稳定的一个新的充分条件[J]. 控制与决策, 2011, 26(6): 837-840.
|