A Differential Lyapunov Framework for Contraction Analysis

被引：229
作者：
Forni, Fulvio [1 ]
Sepulchre, Rodolphe [1 ,2 ]
机构：
[1] Univ Liege, Dept Elect Engn & Comp Sci, B-4000 Liege, Belgium
[2] Univ Cambridge, Dept Engn, Cambridge CB2 1PZ, England
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2014年 / 59卷 / 03期
关键词：
Contraction; incremental stability; linearization; Lyapunov methods; nonlinear systems; STABILIZATION; PASSIVITY; SYSTEMS; STABILITY; CONSENSUS;
D O I：
10.1109/TAC.2013.2285771
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Lyapunov's second theorem is an essential tool for stability analysis of differential equations. The paper provides an analog theorem for incremental stability analysis by lifting the Lyapunov function to the tangent bundle. The Lyapunov function endows the state-space with a Finsler structure. Incremental stability is inferred from infinitesimal contraction of the Finsler metrics through integration along solutions curves.
引用
收藏
页码：614 / 628
页数：15
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