A Lyapunov-Based Small-Gain Theorem for a Network of Finite-Time Input-to-State Stable Systems

IF 5.3 2区 材料科学 Q2 MATERIALS SCIENCE, MULTIDISCIPLINARY
Huanhuan Li;Tengfei Liu;Zhong-Ping Jiang
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引用次数: 0

Abstract

This article 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.
有限时间输入到状态稳定系统网络的基于 Lyapunov 的小增益定理
本文针对由两个或多个 FTISS 子系统组成的互联非线性系统的有限时间输入到状态稳定性(FTISS),提出了小增益定理的 Lyapunov 表述。此外,还根据子系统的 FTISS-Lyapunov 函数构建了互联系统的 FTISS-Lyapunov 函数。针对之前开发的仅限于输入到状态稳定性的基于 Lyapunov 的非线性小增益定理,提出了一种新的基于幂函数的缩放技术,以解决非线性缩放 FTISS-Lyapunov 函数作为正幂小于 1 的幂函数可能无法保持递减率的难题。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
CiteScore
8.30
自引率
3.40%
发文量
1601
期刊介绍: ACS Applied Nano Materials is an interdisciplinary journal publishing original research covering all aspects of engineering, chemistry, physics and biology relevant to applications of nanomaterials. The journal is devoted to reports of new and original experimental and theoretical research of an applied nature that integrate knowledge in the areas of materials, engineering, physics, bioscience, and chemistry into important applications of nanomaterials.
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