Nonlinear Analysis: Hybrid Systems ( IF 4.2 ) Pub Date : 2021-02-27 , DOI: 10.1016/j.nahs.2021.101026 Chunhui Mei , Chen Fei , Weiyin Fei , Xuerong Mao
Given an unstable hybrid stochastic functional differential equation, how to design a delay feedback controller to make it stable? Some results have been obtained for hybrid systems with finite delay. However, the state of many stochastic differential equations are related to the whole history of the system, so it is necessary to discuss the feedback control of stochastic functional differential equations with infinite delay. On the other hand, in many practical stochastic models, the coefficients of these systems do not satisfy the linear growth condition, but are highly nonlinear. In this paper, the delay feedback controls are designed for a class of infinite delay stochastic systems with highly nonlinear and the influence of switching state.
中文翻译:
具有无限时滞的高度非线性混合随机泛函微分方程的时滞反馈控制指数镇定。
给定一个不稳定的混合随机泛函微分方程,如何设计一个延迟反馈控制器使其稳定?对于具有有限延迟的混合系统,已经获得了一些结果。但是,由于许多随机微分方程的状态与系统的整个历史有关,因此有必要讨论具有无限延迟的随机泛函微分方程的反馈控制。另一方面,在许多实际的随机模型中,这些系统的系数不满足线性增长条件,而是高度非线性的。本文针对一类具有高度非线性和切换状态影响的无限时滞随机系统设计了时滞反馈控制。