Dynamic Versus Static Weighting of Lyapunov Functions

被引：4

作者：

Praly, L. ^{[1
]}

Carnevale, D. ^{[2
]}

Astolfi, A. ^{[2
,3
]}

机构：

[1] MINES ParisTech, CAS, Mathemat & Syst, Fontainebleau, France

[2] Univ Roma Tor Vergata, Dipartimento Informat Sistemi & Prod, I-00133 Rome, Italy

[3] Univ London Imperial Coll Sci Technol & Med, Dept Elect & Elect Engn, London SW7 2AZ, England

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2013年 / 58卷 / 06期

关键词：

Lyapunov function; nonlinear; SMALL-GAIN THEOREM; OUTPUT-FEEDBACK; ISS SYSTEMS; NONLINEAR-SYSTEMS; STABILIZATION; STABILITY; CONSTRUCTION;

D O I：

10.1109/TAC.2012.2229813

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The relation between static and dynamic Lyapunov functions weighting is discussed. It is shown that, under some technical assumptions, stabilizability by means of static weighting implies stabilizability by means of dynamic weighting. The existence result is illustrated by means of an example which highlights that the design based on dynamic weighting requires less a-priori information on the system to be stabilized.

引用

页码：1557 / 1561

页数：5

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