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On Homogeneous Density Functions

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Author

Summary, in English

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.

Publishing year

2003

Language

English

Publication/Series

Directions in Mathematical Systems Theory and Optimization ( Lecture Notes in Control and Information Sciences ; 286)

Document type

Book chapter

Publisher

Springer

Topic

  • Control Engineering

Status

Published

ISBN/ISSN/Other

  • ISSN: 0170-8643