李雅普诺夫函数
Lyapunov重新设计
李雅普诺夫指数
控制理论(社会学)
小增益定理
李雅普诺夫方程
控制Lyapunov函数
Lyapunov优化
数学
非线性系统
Lyapunov稳定性
理论(学习稳定性)
应用数学
计算机科学
控制(管理)
物理
量子力学
人工智能
机器学习
作者
Huanhuan Li,Tengfei Liu,Zhong‐Ping Jiang
出处
期刊:IEEE Transactions on Automatic Control
[Institute of Electrical and Electronics Engineers]
日期:2023-01-01
卷期号:: 1-8
标识
DOI:10.1109/tac.2023.3274880
摘要
This paper presents a Lyapunov formulation of the small-gain theorem for the finite-time input-to-state stability (FTISS) of an interconnected nonlinear system composed of two or more FTISS subsystems. In addition, an FTISS-Lyapunov function for the interconnected system is constructed from the FTISS-Lyapunov functions of the subsystems. With respect to the previously developed nonlinear, Lyapunov-based small-gain theorem restricted to input-to-state stability, a new power-function-based scaling technique is proposed to deal with the challenge that a nonlinearly scaled FTISS-Lyapunov function may not retain a decreasing rate as a power function with a positive power less than one.
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