欢迎您！东篱公司
退出
-
申报数据库
-
立项数据库
-
成果数据库
-
项目获奖数据库
中文摘要：
基于开闭环控制的思想，设计了一类由外激力与线性误差反馈组成的开闭环控制器，研究了Mathieu-Dufling振子混沌轨道至任意目标周期轨道的控制问题；同时，利用Liapunov稳定性理论与二阶常微分方程初值问题的一个比较定理，证明了上述开闭环控制夹带盆（basin of entrainment）的全局性．最后，利用数值模拟，验证了理论结果的正确性．
英文摘要：
Utilizing the idea of the open-plus-closed-loop（OPCL） control, a controller which is composed of an external excitation and linear feedback was designed to entrain the chaotic trajectories of Mathieu-Duffing oscillator to its periodic and higher periodic orbits. The global basin of entrainment of the open-plus-closed-loop control was proved by combining Liapunov stability theory with a comparative theorem of initial value problems for second-order ordinary differential equations. Numerical simulations were performed to demonstrate the theoretical results.
同期刊论文项目
同项目期刊论文
Synchronization criteria for non-autonomous chaotic systems via sinusoidal state error feedback cont
Homoclinic and heteroclinic solutions of cubic strongly nonlinear autonomous oscillators by the hype
A hyperbolic perturbation method for determining homoclinic solution of certain strongly nonlinear a
Precise Hsu's method for analyzing the stability of periodic solutions of multi-degrees-of-freedom s
A hyperbolic Lindstedt-poincaré method for homoclinic motion of a kind of strongly nonlinear autonom
A new perturbation procedure for limit cycle analysis in three-dimensional nonlinear autonomous dyna
Numerical verification and comparison of error of asymptotic expansion solution of the duffing equat
Bifurcation and route-to-chaos analyses for Mathieu-Duffing oscillator by the incremental harmonic b
Application of gray system theory modified with buffer operator to determine ultimate bearing capaci
期刊信息
位置：