当前位置: X-MOL 学术Adv. Mech. Eng. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Uniformly asymptotic stability of second-order linear time-varying systems
Advances in Mechanical Engineering ( IF 2.1 ) Pub Date : 2020-09-01 , DOI: 10.1177/1687814020955099
Da-Ke Gu 1 , Chao Lu 1
Affiliation  

This paper is concerned with the stability of second-order linear time-varying systems. By utilizing the Lyapunov approach, a generally uniformly asymptotic stability criterion is obtained by adding the system matrices into the quadratic Lyapunov candidate function. In the case of the derivative of the Lyapunov candidate function is semi-positive definite, the stability criterion is also efficient. Based on the proposed results, the systems with uncertain disturbances such as structured independent and structured dependent perturbations are considered. Using the matrix measure and the singular value theory, the bounds of the uncertainties are obtained that guarantee the system uniformly asymptotically stable, while the bounds of state feedback control input are also derived to stabilize the second-order linear time-varying systems. Finally, several numerical examples are given to prove the validity and correctness of the proposed criteria with existing ones.



中文翻译:

二阶线性时变系统的一致渐近稳定性

本文关注的是二阶线性时变系统的稳定性。通过利用李雅普诺夫方法,通过将系统矩阵添加到二次李雅普诺夫候选函数中,可以获得通常一致的渐近稳定准则。在Lyapunov候选函数的导数是半正定的情况下,稳定性判据也是有效的。基于提出的结果,考虑了具有不确定扰动的系统,例如结构独立和结构依赖摄动。利用矩阵测度和奇异值理论,获得了保证系统一致渐近稳定的不确定性边界,同时还导出了状态反馈控制输入的边界来稳定二阶线性时变系统。最后,

更新日期:2020-09-02
down
wechat
bug