A Bohl-Perron type theorem for random dynamical systems

Research output: Contribution to journal › Research article › Contributed › peer-review

Contributors

  • N. D. Cong - , Vietnamese Academy of Science and Technology (Author)
  • T. S. Doan - , Vietnamese Academy of Science and Technology, TUD Dresden University of Technology (Author)
  • S. Siegmund - , Chair of Dynamics and Control, TUD Dresden University of Technology (Author)

Abstract

In this paper, a Bohl-Perron type theorem for random dynamical systems is proved which characterizes uniform exponential stability by means of admissibility. As an application, we obtain a lower bound on the stability radius of random dynamical systems based on the norm of the input-output operator.

Details

Original languageEnglish
Pages (from-to)322-331
Number of pages10
JournalDiscrete and Continuous Dynamical Systems- Series A
Issue numberSUPPL.
Publication statusPublished - Sept 2011
Peer-reviewedYes

External IDs

ORCID /0000-0003-0967-6747/work/172571567

Keywords

ASJC Scopus subject areas

Keywords

  • Bohl-Perron type theorem, Random dynamical systems, Stability radius, Uniform exponential stability