Random dynamical systems with inputs

Michael Marcondes De Freitas, Eduardo D. Sontag

Research output: Chapter in Book/Report/Conference proceedingChapter

3 Scopus citations

Abstract

This work introduces a notion of random dynamical systems with inputs, providing several basic definitions and results on equilibria and convergence. It also presents a "converging input to converging state" ("CICS") result, a concept that plays a key role in the analysis of stability of feedback interconnections, for monotone systems.

Original languageEnglish (US)
Title of host publicationNonautonomous Dynamical Systems in the Life Sciences
PublisherSpringer Verlag
Pages41-87
Number of pages47
ISBN (Print)9783319030791
DOIs
StatePublished - 2013

Publication series

NameLecture Notes in Mathematics
Volume2102
ISSN (Print)0075-8434

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Keywords

  • Pullback convergence
  • Random dynamical systems
  • Stochastic dynamics

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