带有未知干扰和混合时滞的非线性系统有限时间同步

Finite time synchronization of nonlinear systems with unknown disturbances and mixed delays

针对一类具有混合时滞和未知干扰的驱动-响应系统,将系统的有限时间同步问题转化为同步误差系统的有限时间稳定问题,并设计新的含积分项的控制器.利用Lyapunov分析方法、有限时间稳定性理论以及线性矩阵不等式技术,建立系统达到有限时间同步的充分条件.数值模拟验证了理论结果的有效性.

The finite time synchronization problem of a class of drive response systems with mixed time delays and unknown disturbances is studied.The finite time synchronization problem of the drive response system is transformed into the finite time stability problem of the synchronization errorsystem,and a new controller with integral term is designed.By using Lyapunov analysis method,finite time stability theory and linear matrix inequality technique,the sufficient conditions for the system to achieve finite time synchronization are established.Numerical simulation verifies the validity of the theoretical results.