Citation: | Mohammad Pourmahmood Aghababa, Hasan Pourmahmood Aghababa. Finite-Time Stabilization of Uncertain Non-Autonomous Chaotic Gyroscopes With Nonlinear Inputs[J]. Applied Mathematics and Mechanics, 2012, 33(2): 153-163. doi: 10.3879/j.issn.1000-0887.2012.02.002 |
[1] |
Ott E, Grebogi C, Yorke J A. Using chaos to direct trajectories to targets[J]. Phys Rev Lett, 1990, 65(26): 3215-2158.
|
[2] |
胡满峰,徐振源. 两个模态耦合的Ginzburg-Landau方程的时空混沌同步化[J]. 应用数学和力学, 27(8): 1001-1008. (HU Man-feng, XU Zhen-yuan. Patio-temporal chaotic synchronization for modes coupled two Ginzburg-Landau equations[J]. Applied Mathematics and Mechanics(English Edition), 2006, 27(8): 1149-1156.)
|
[3] |
阿衡 C K. 基于混沌同步化的广义无源性[J]. 应用数学和力学, 2010, 31(8): 961-970. (Ahn C K. Generalized passivity-based chaos synchronization[J]. Applied Mathematics and Mechanics(English Edition), 2010, 31(8): 1009-1018.)
|
[4] |
刘艳, 吕翎. N个异结构混沌系统的环链耦合同步[J]. 应用数学和力学, 2008, 29(10): 1181-1190.(LIU Yan, L Ling. Synchronization of N different coupled chaotic systems with ring and chain connections[J]. Applied Mathematics and Mechanics(English Edition), 2008, 29(10): 1299-1308.)
|
[5] |
Pourmahmood M, Khanmohammadi S, Alizadeh G. Synchronization of two different uncertain chaotic systems with unknown parameters using a robust adaptive sliding mode controller[J]. Commun Nonlinear Sci Numer Simulat, 2011, 16(7): 2853-2868.
|
[6] |
Aghababa M P, Khanmohammadi S, Alizadeh G. Finite-time synchronization of two different chaotic systems with unknown parameters via sliding mode technique[J]. Appl Math Model, 2001, 30(6): 3080-3091.
|
[7] |
唐林俊, 李东, 王汉兴. 基于模糊观测器的模糊混沌系统的延迟同步[J]. 应用数学和力学, 2009, 30(6): 750-756. (TANG Lin-jun, LI Dong, WANG Han-xing. Lag synchronization for fuzzy chaotic system based on fuzzy observer[J]. Applied Mathematics and Mechanics(English Edition), 2009, 30(6): 803-810.)
|
[8] |
勃布特索夫 A,尼克拉伊夫 N,斯利塔O. 卫星系统中的混沌控制[J].应用数学和力学, 2007, 28(7): 798-804.(Bobtsov A, Nikolaev N, Slita O. Control of chaotic oscillations of a satellite[J]. Applied Mathematics and Mechanics(English Edition), 2007, 28(7): 893-900.)
|
[9] |
Chen H K. Chaos and chaos synchronization of a symmetric gyro with linear-plus-cubic damping[J]. J Sound Vibr, 2002, 255(4): 719-740.
|
[10] |
van Dooren R, CHEN Hsien-keng. Comments on chaos and chaos synchronization of a symmetric gyro with linear-plus-cubic damping[J]. J Sound Vibr, 2008, 268(3): 632-634.
|
[11] |
Ge Z M, Chen H K. Bifurcations and chaos in a rate gyro with harmonic excitation[J]. J Sound Vibr, 1996, 194(1):107-117.
|
[12] |
Tong X, Mrad N. Chaotic motion of a symmetric gyro subjected to a harmonic base excitation[J]. J Applied Mech Trans Amer Soc Mech Eng, 2001, 68(4): 681-684.
|
[13] |
Leipnik R B, Newton T A. Double strange attractors in rigid body motion with linear feedback control[J]. Phys Lett A, 1981, 86(2): 63-67.
|
[14] |
Ge Z M, Chen H K, Chen H H. The regular and chaotic motion of a symmetric heavy gyroscope with harmonic excitation[J]. J Sound Vibr, 1996, 198(2): 131-147.
|
[15] |
Lei Y, Xu W, Zheng H. Synchronization of two chaotic nonlinear gyros using active control[J]. Phys Lett A, 2005, 343(1/3): 153-158.
|
[16] |
Hung M, Yan J, Liao T. Generalized projective synchronization of chaotic nonlinear gyros coupled with dead-zone input[J]. Chaos Soliton Fract, 35(1): 181-187.
|
[17] |
Yau H. Nonlinear rule-based controller for chaos synchronization of two gyros with linear-plus-cubic damping[J]. Chaos Soliton Fract, 2007, 34(4): 1357-1365.
|
[18] |
Yau H. Chaos synchronization of two uncertain chaotic nonlinear gyros using fuzzy sliding mode control[J]. Mech Sys Signal Proc, 2008, 22(2): 408-418.
|
[19] |
YAN Jun-jun, HUANG Meei-ling, LIAO Teh-lu. Adaptive sliding mode control for synchronization of chaotic gyros with fully unknown parameters[J]. J Sound Vibr, 2006, 298(1/2): 298-306.
|
[20] |
YAN Jun-jun, HUANG Meei-ling, LINB Jui-Sheng , LIAO Teh-lu . Controlling chaos of a chaotic nonlinear gyro using variable structure control[J]. Mech Sys Signal Proc, 2007, 21(6): 2515-2522.
|
[21] |
Bwidehat S P, Bernstein D S. Finite-time stability of continuous autonomous systems[J]. SIAM J Control Optim, 2008, 38(3): 751-766.
|
[22] |
Curran P F, Chua L O. Absolute stability theory and the synchronization problem[J]. Int J Bifurcat Chaos, 1997, 7(6): 1357-1382.
|
[23] |
WANG Hua, HAN Zheng-zhi, XIE Qi-yue, ZHANG Wei. Finite-time chaos control via nonsingular terminal sliding mode control[J]. Commun Nonlinear Sci Numer Simulat, 2009, 14(6): 2728-2733.
|