On Homogeneous Density Functions

Stephen Prajna, Anders Rantzer

Research output: Chapter in Book/Report/Conference proceedingBook chapterResearch


We consider homogeneous density functions for proving almost globalattractivity of the zero equilibrium in a homogeneous system. It is shownthat the existence of such a function is guaranteed whenthe equilibrium is asymptotically stable, or in the more general case, whenthere exists a nonhomogeneous density function for the same systemsatisfying some reasonable conditions. Results related to robustness under nonhomogenizing perturbationsare also presented.
Original languageEnglish
Title of host publicationDirections in Mathematical Systems Theory and Optimization ( Lecture Notes in Control and Information Sciences ; 286)
Publication statusPublished - 2003

Publication series

ISSN (Print)0170-8643

Subject classification (UKÄ)

  • Control Engineering


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