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A small-gain theorem for almost global convergence of monotone systems

Authors
Journal
Systems & Control Letters
0167-6911
Publisher
Elsevier
Publication Date
Volume
52
Issue
5
Identifiers
DOI: 10.1016/j.sysconle.2004.02.017
Keywords
  • Almost Global Convergence
  • Small-Gain Theorems
  • Monotone Systems
Disciplines
  • Mathematics

Abstract

Abstract A small-gain theorem is presented for almost global stability of monotone control systems which are open-loop almost globally stable, when constant inputs are applied. The theorem assumes “negative feedback” interconnections. This typically destroys the monotonicity of the original flow and potentially destabilizes the resulting closed-loop system.

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