指数稳定性
非线性系统
数学
李雅普诺夫函数
稳健性(进化)
匡威
指数函数
应用数学
控制理论(社会学)
指数增长
理论(学习稳定性)
Lyapunov稳定性
数学分析
计算机科学
物理
几何学
机器学习
基因
人工智能
量子力学
生物化学
化学
控制(管理)
作者
A. Kicha,M. A. Hammami,I.-E. Abbes
出处
期刊:Ukraïnsʹkij matematičnij žurnal
[Institute of Mathematics National Academy of Sciences of Ukraine]
日期:2023-05-24
卷期号:75 (5): 596-613
标识
DOI:10.37863/umzh.v75i5.7071
摘要
UDC 517.9 We solve the following twofold problem: In the first part, we deduce Lyapunov sufficient conditions for practical uniform exponential stability of nonlinear perturbed systems under different conditions for the perturbed term. The second part presents a converse Lyapunov theorem for the notion of semiglobal uniform exponential stability for parametrized nonlinear time-varying systems. We establish the possibility of application of a perturbed parametrized system, by using Lyapunov theory, to the investigation of the robustness properties that may provide practical semiglobal uniform exponential stability with respect to perturbations.
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