随机扰动下激励系统的分岔与控制研究

为研究激励系统分岔现象的控制问题,首先基于系统理论,分析激励系统的整体涌现性、非线性、鲁棒性和稳定性问题,运用随机非线形理论中的随机平均法和随机过程理论研究了激励系统的随机扰动和分岔问题,提出参数临界状态下,激励系统分岔平衡点稳定性方程,并进一步给出系统存在跨临界分岔和奇异诱导分岔的充分条件。最后,设计反馈控制器,通过控制能量和调整平衡点,抑制激励分岔,使系统趋于稳定。

The Study on Bifurcation and Control in Motivation System with Random Perturbation

To investigate bifurcation and control in motivation system,firstly,the problem of motivation system is discussed such as emergent property,nonlinear,robust,and reliability.Random perturbation and bifurcation performance of motivation system are studied by using stochastic average method and random process theory.The model is discussed under the condition of critical parameter.Moreover,the sufficient conditions of bifurcation are obtained. Last,the state feedback controller is designed so that bifurcation c...