李雅普诺夫函数
Lyapunov稳定性
数学
控制理论(社会学)
趋同(经济学)
理论(学习稳定性)
李雅普诺夫方程
稳定性理论
Lyapunov重新设计
模式(计算机接口)
滑模控制
应用数学
控制(管理)
计算机科学
非线性系统
物理
量子力学
人工智能
机器学习
经济
经济增长
操作系统
作者
Andrey Polyakov,Leonid Fridman
标识
DOI:10.1016/j.jfranklin.2014.01.002
摘要
The paper surveys mathematical tools required for stability and convergence analysis of modern sliding mode control systems. Elements of Filippov theory of differential equations with discontinuous right-hand sides and its recent extensions are discussed. Stability notions (from Lyapunov stability (1982) to fixed-time stability (2012)) are observed. Concepts of generalized derivatives and non-smooth Lyapunov functions are considered. The generalized Lyapunov theorems for stability analysis and convergence time estimation are presented and supported by examples from sliding mode control theory.
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