A Bohl-Perron type theorem for random dynamical systems

N. D. Cong; T. S. Doan; S. Siegmund

doi:10.3934/proc.2011.2011.322

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2011, Volume 2011: 322-331. Doi: 10.3934/proc.2011.2011.322 open access

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A Bohl-Perron type theorem for random dynamical systems

1.
Hanoi Institute of Mathematics, VAST, 18 Hoang Quoc Viet, Hanoi
2.
Technical University of Dresden, 01069 Dresden

Received: July 2010

Revised: March 2011

Published online: October 2011

Abstract / Introduction Related Papers Cited by

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.

Keywords:

Random dynamical systems,
uniform exponential stability,
Bohl- Perron type theorem,
stability radiusThe first author is supported par.

Mathematics Subject Classification: Primary: 37H05, 37D20; Secondary: 47B80, 39A30.

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