【摘要】 本文研究具有不确定参数和扰动的Filippov系统的混沌同步问题.首先通过广义哈密顿系统和观测器的方法重新设计了Filippov系统,消除了非光滑项,得到光滑的误差系统,进而利用Lyapunov稳定性理论研究了该光滑误差系统的稳定性,给出混沌系统达到同步的条件.最后将该方法应用到Chua电路和带干摩擦的Duffing振子,理论分析和数值结果一致.更多还原

【Abstract】 In the paper, chaotic synchronization of Filippov systems with unknown parameters and external disturbance is investigated. At first, we redesign Filippov systems by the generalized Hamiltonian system and observer approach to eliminate the non-smooth portion, and smooth error systems are obtained; Then, we apply Lyapunov stability theory to error systems, stabilize their zero solution and give synchronization conditions; Finally, we apply the method to Chua’s system and the Duffing Oscillator with dry friction and the numerical simulation shows the effectiveness of the theoretical analysis.更多还原