一类变时滞复杂网络的H_∞牵制同步

研究了具有外部干扰的时变时滞复杂网络的H∞指数同步问题.采用对网络中的小部分节点实施反馈控制策略,并定义合适的控制输出,得到了被控制节点的H∞同步控制器和指数同步的H∞控制律.此外,在Lyapunov稳定性理论的基础上,基于线性不等式(LMI)方法,给出了H∞指数同步的条件及其相应的算法.与现有的设计方法相比,本文结论具有更好的保守性和可行性.最后,数值仿真实例验证了结论的有效性和可行性.

Pinning H∞ Synchronization Control of General Complex Dynamical Network with Time-varying Delay

This paper investigates the exponential synchronization problem for time-varying delay complex network with external disturbances. We control the complex dynamical networks with time-varying delay by applying local feedback injections to a small fraction of nodes. The synchronization controllers have been de-signed for the controlled nodes and the control law for exponential synchronization is derived via defining an appropriate controlled output. Besides, based on the Lyapunov functional method, delay-dependent exponen-tial synchronization criteria have been derived in terms of LMI. And the results have less conservative com-pared with the existing design methods. Finally, a simulation example is given to demonstrate the effective-ness of the theoretical result.