Robust Output Practical Stability of Time-Varying Nonlinear Control Systems via Indefinite Lyapunov Functions  

作　　者：DAMAK Hanen ABOTHHER Amal HAMMAMI Mohamed Ali 

机构地区：[1]Department of Mathematics,University of Sfax,Preparatory Engineering Institute of Sfax,3047,Tunisia [2]Department of Mathematics,University of Zawia,Faculty of education Abu Essa,Zawia 16418,Libya [3]Department of Mathematics,University of Sfac,Faculty of Sciences of Sfax,3047,Tunisia

出　　处：《Journal of Systems Science & Complexity》2024年第6期2595-2613,共19页系统科学与复杂性学报（英文版）

摘　　要：This paper focuses on studying the problem of robust output practical stability of timevarying nonlinear control systems. The main innovation lies in the fact that the proposed approach for stability analysis allows for the computation of bounds that characterize the asymptotic convergence of solutions to a small ball centered at the origin using a Lyapunov method with a definite derivative.Under different conditions on the perturbation, the authors demonstrate that the system can be globally robustly asymptotically output stable by designing a candidate feedback controller. Finally, three examples are given to illustrate the practical implications and significance of the theoretical results.

关 键 词：Control theory global robust practical asymptotic output stability(GRPAOS) Lyapunov method time-varying control systems 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]