JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE) ›› 2017, Vol. 47 ›› Issue (3): 84-88.doi: 10.6040/j.issn.1672-3961.0.2016.342
Previous Articles Next Articles
LI Qingbin, WANG Xiaodong
CLC Number:
[1] PODLUBNY I. Fractional differential equations[M]. San Diego: Academic Press, 1999. [2] WANG X, HE Y. Projective synchronization of fractional order chaotic system based on linear separation[J]. Physics Letters A, 2008, 372(4):435-441. [3] 孙宁, 张化光,王智良. 不确定分数阶混沌系统的滑模投影同步[J]. 浙江大学学报(工学版),2010,44(7):1288-1291. SUN Ning, ZHANG Huaguang, WANG Zhiliang. Projective synchronization of uncertain fractional order chaotic system using sliding mode controller[J].Journal of Zhejiang University(Engineering Science), 2010, 44(7):1288-1291. [4] 余明哲,张友安. 一类不确定分数阶混沌系统的滑模自适应同步[J]. 北京航空航天大学学报,2014,40(9):1276-1280. YU Mingzhe, ZHANG Youan. Sliding mode adaptive synchronization for a class of fractional order chaotic systems with uncertainties[J]. Journal of Beijing University of Aeronautics and Astronautics, 2014, 40(9):1276-1280. [5] 仲启龙,邵永辉,郑永爱.分数阶混沌系统的主动滑模同步[J].动力学与控制学报, 2015, 13(1):18-22. ZHONG Qilong, SHAO Yonghui, ZHENG Yongai. Active sliding mode synchronization of fractional order chaotic systems[J].Journal of Dynamics and Control, 2015, 13(1):18-22. [6] 张燕兰. 分数阶Rayleigh-Duffing-like系统的自适应追踪广义投影同步[J].动力学与控制学报,2014,12(4):348-352. ZHANG Yanlan. Adaptive tracking generalized projective synchronization of fractional Rayleigh-Duffing-like system[J]. Journal of Dynamics and Control, 2014, 12(4):348-352. [7] SUN Y P, LI J M, WANG J A, et al. Generalized projective synchronization of chaotic systems via adaptive learning control[J]. Chinese Physics B, 2010, 19(2):502-505. [8] LIU P, LIU S. Robust adaptive full state hybrid synchroniztion of chaotic complex systems with unknown parameters and external disturbances[J].Nonlinear Dynamics, 2012, 70(1):585-599. [9] YANG L, YANG J. Robust finite-time convergence of chaotic systems via adaptive terminal sliding mode scheme[J].Communications in Nonlinear Science and Numerical Simulation, 2011, 16(6):2405-2413. [10] 徐瑞萍,高明美.自适应终端滑模控制不确定混沌系统的同步[J].控制工程,2016,23(5):715-719. XU Ruiping, GAO Mingmei. Synchronization of chaotic systems with uncertainty using adaptive terminal sliding mode controller[J]. Control Engineering of China, 2016, 23(5):715-719. [11] ZAK M. Terminal attractor sin neural networks[J]. Neual Networks, 1989, 2(4):259-274. [12] Man Zhihong, PAPLINSKI A P, WU H R. A robust MIMO terminal sliding mode control scheme for rigid robotic manipulators[J]. IEEE Transactionon Automatic Control, 1994, 39(12):2464-2469. [13] 颜闽秀,井元伟. 基于终端滑模控制的混沌系统的同步[J]. 东北大学学报(自然科学版), 2007, 28(12):1677-1680. YAN Minxiu, JING Yuanwei. Chaos systems synchronization based on terminal sliding mode control[J]. Journal of East North University(Science Edition), 2007, 28(12):1677-1680. [14] 毛北行,李巧利.一类多涡卷系统的滑模有限时间混沌同步[J].吉林大学学报(理学版),2016,54(5):1131-1136. MAO Beixing, LI Qiaoli. Finite-time sliding mode chaos synchronization of a kind of multiscroll systems[J]. Journal of Jilin University(Science Edition), 2016, 54(5):1131-1136. [15] 高俊山,宋歌,邓立为. 具有未知参数的混沌系统的有限时间滑模同步[J].控制与决策,2016,52(12):227-335. GAO Junshan, SONG Ge, DENG Liwei. Finite-time sliding mode synchronization control of chaotic systems with uncertain parameters[J]. Control and Decision, 2016, 52(12):227-335. [16] 陈烨,李生刚,刘恒.基于自适应模糊控制的分数阶混沌系统同步[J].物理学报,2016,65(17):501-511. CHEN Ye, LI Shenggang, LIU Heng. Synchronization of fractional-order chaotic systems based on adaptive fuzzy control[J]. Acta Physics Sinica, 2016, 65(17):501-511. [17] 李力,周昌乐.基于范德波尔方程的情绪模型[J].厦门大学学报(自然科学版),2011,50(4):703-706. LI Li, ZHOU Changle. Emotin model based on Van der pol equation[J]. Journal of Xiamen University(Science Edition), 2011, 50(4):703-706. [18] 邢伟,茅青海. 受周期外界环境影响的Van der pol情绪模型[J].数学建模及其应用,2016,5(1):43-48. XING Wei, MAO Qinghai. Van der pol emotion model affected by cycle of external enviorment[J].Mathematical Modeling and Application, 2016, 5(1):43-48. [19] YU S, YU X, SHIRINZADEH B, et al. Continuous finite-time control for robotic manipulators with terminal sliding mode[J].Automatica, 2005, 41(11):1957-1964. [20] MOHAMMAD P A, SOHRAB K, GHASSEM A. Finite-time synchronization of two different chaotic systems with unknown parameters via sliding mode technique[J]. Applied Mathematical Modelling, 2011, 35(6):3080-3091. [21] 梁家荣,谭红艳,樊仲光.广义系统的快速终端滑模控制[J].电子科技大学学报,2011,40(1):11-15. LIANG Jiarong, TAN Hongyan, FAN Zhongguang. Fast terminal sliding mode control for singular systems[J].Journal of University of Electronic Science and Technology of China, 2011, 40(1):11-15. |
[1] | WANG Dongxiao. Two methods for sliding mode synchronization of five-dimensional fractional-order chaotic systems with entanglement iterms [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2018, 48(5): 85-90. |
[2] | WANG Chunyan, DI Jinhong. Synchronization control of fractional-order multi-scroll chaotic system based on reduced-order method [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2018, 48(5): 91-94. |
[3] | MENG Xiaoling, WANG Jianjun. Chaos synchronization of a class of fractional-order coronary artery systems [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2018, 48(4): 55-60. |
[4] | MAO Beixing, CHENG Chunrui. Self-adaptive sliding mode control of fractional-order Victor-Carmen chaotic systems [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2017, 47(4): 31-36. |
[5] | MAO Beixing, WANG Dongxiao. Sliding model chaos synchronization control of a class of fractional-order multi-scroll systems [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2017, 47(3): 79-83. |
[6] | JIN Xin,JIANG Ming-yan . Chaos synchronization control for a new chaotic system with diverse structures base on nonlinear control [J]. JOURNAL OF SHANDONG UNIVERSITY (ENGINEERING SCIENCE), 2007, 37(5): 78-82 . |
|