非线性控制系统及其θ方法的压缩性  

Contractivity for Nonlinear Control System and Its θ Method

作　　者：范振成 FAN Zhen-cheng(College of Mathematic and Data Science,Minjiang University,Fuzhou 350108,China)

机构地区：[1]闽江学院数学与数据科学学院,福建福州350108

出　　处：《数学的实践与认识》2023年第2期265-269,共5页Mathematics in Practice and Theory

基　　金：福建省自然科学基金(2021J011031)。

摘　　要：研究非线性控制系统及其θ方法的压缩性,获得了非线性控制系统压缩性以及θ方法保持其压缩性的充分条件.理论结果表明控制系统的隐式Euler方法比其显式Euler方法的压缩性好.数值结果验证了理论分析结果.In this paper,we study the contractivity for both nonlinear control systems and its θ method.The sufficient conditions for both the contractivity of nonlinear control systems and the θ method preserving the contractivity are obtained.The the oretical results show that the contractivity property of the implicit Euler method is better than that of the explicit Euler method for the control system.The numerical results confirm the correctness of the theoretical analysis.

关 键 词：控制系统 输入到状态稳定 压缩 θ方法 

分 类 号：O231[理学—运筹学与控制论]