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2011, 2011(Special): 322-331. doi: 10.3934/proc.2011.2011.322

A Bohl-Perron type theorem for random dynamical systems

N. D. Cong 1, , T. S. Doan 2, and  S. Siegmund 2,

1. 

Hanoi Institute of Mathematics, VAST, 18 Hoang Quoc Viet, Hanoi, Vietnam
2. 

Technical University of Dresden, 01069 Dresden, Germany, Germany

Received  July 2010 Revised  March 2011 Published  October 2011

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, stability radius. The rst author is supported par, Bohl- Perron type theorem, uniform exponential stability.
Mathematics Subject Classification: Primary: 37H05, 37D20; Secondary: 47B80, 39A30.
Citation: N. D. Cong, T. S. Doan, S. Siegmund. A Bohl-Perron type theorem for random dynamical systems. Conference Publications, 2011, 2011 (Special) : 322-331. doi: 10.3934/proc.2011.2011.322
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