复杂动力学网络的自适应线性广义同步及参数识别

摘要

针对参数未知的复杂动力学网络，基于 Lyapunov 稳定性理论和 LaSalle 不变原理，通过设计合适的自适应控制器不仅实现了参数未知的复杂动力学网络之间的线性广义同步，而且对网络中的未知参数进行了追踪识别。文中设计的控制器对一类复杂动力学网络有普适性，并且由于其具有的自适应功能，使得该控制方法有鲁棒性。数值仿真结果进一步验证了控制方法的有效性与可行性。%Based on Lyapunov stability theory and LaSalle invariance principle,the theorem of linear generalized synchronization for uncertain complex dynamical networks was proposed,where a suitable adaptive controller was designed.It is shown that the linear generalized synchronization between uncertain complex dynamical networks can be realized,and the parameter update laws for identifying the unknown parameters of complex dynamical net-work are also gained.The controller is feasible and robust for one kind of uncertain complex networks due to its adaptability.The numerical simulations demonstrate the validity and feasibility of the proposed theorem.