摘要
本文研究了一类具有离散时滞和分布时滞的捕食被捕食系统的耗散控制问题,讨论了捕食被捕食系统的正平衡点的局部稳定性和Hopf分支,并给出平衡点局部渐近稳定的充分条件.将捕食被捕食系统转化为Cohen-Grossberg神经网络模型,选取适当的Lyapunov函数,运用线性矩阵不等式的方法,设计状态反馈控制器,使得神经网络闭环模型耗散,从而使原捕食被捕食系统变成耗散系统.最后通过数值算例说明了方法的可行性.
In this paper, the dissipative control problem is investigated for a predator-prey system with discrete time-varying delays and distributed time delays.We consider the local stability of positive equilibrium point and Hopf bifurcation for predator-prey system, and the sufficient condition for global stability of positive equilibrium point is given. Then the predator-prey system is discussed and the feedback controller is desigend to make the predator-prey system be dissipative by converting the predator-prey system into Cohen-Grossberg neural networks system. A numerical example with simulation results is given to illustrate the feasibility for the method.
出处
《生物数学学报》
2017年第2期168-174,共7页
Journal of Biomathematics
关键词
耗散控制
捕食者系统
神经网络
离散时滞
分布时滞
Dissipative Control
Predator-Prey System
Neural Networks
Discrete Time Delays
Distributed Time Delays
