A note on monotone systems with positive translation invariance

David Angeli, Eduardo D. Sontag

Research output: Chapter in Book/Report/Conference proceedingConference contribution

6 Scopus citations

Abstract

We show that strongly monotone systems of ordinary differential equations which have a certain translation-invariance property are so that all solutions converge to a unique equilibrium. The result may be seen as a dual of a well-known theorem of Mierczynski for systems that satisfy a conservation law. An application to a reaction of interest in biochemistry is provided as an illustration.

Original languageEnglish (US)
Title of host publication14th Mediterranean Conference on Control and Automation, MED'06
DOIs
StatePublished - 2006
Event14th Mediterranean Conference on Control and Automation, MED'06 - Ancona, Italy
Duration: Jun 28 2006Jun 30 2006

Publication series

Name14th Mediterranean Conference on Control and Automation, MED'06

Other

Other14th Mediterranean Conference on Control and Automation, MED'06
Country/TerritoryItaly
CityAncona
Period6/28/066/30/06

All Science Journal Classification (ASJC) codes

  • Computer Science Applications
  • Control and Systems Engineering
  • Electrical and Electronic Engineering

Keywords

  • Chemical reaction networks
  • Global stability
  • Monotone systems

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