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Abstract
We consider stochastic dynamical systems operating under synchronization constraints on system events. The system dynamics is represented by a linear vector equation in an idempotent semiring through secondorder state transition matrices with both random and constant entries. As the performance measure of interest, the Lyapunov exponent defined as the asymptotic mean growth rate of the system state vector is examined. For a particular system, we derive a general expression for the exponent under the assumptions that the random matrices are independent and identically distributed, and their random entries have finite means. To illustrate, the exponent is calculated in the case when the random entries have exponential and continuous uniform distributions.
Original language  English 

Title of host publication  Recent Researches in Circuits, Systems, Multimedia and Automatic Control. Vol. 1 of Recent Advances in Electrical Engineering Series. 
Publisher  WSEAS  World Scientific and Engineering Academy and Society 
Pages  226 стр., 152157 
ISBN (Print)  9781618040855 
State  Published  2012 
Keywords
 Stochastic dynamical system
 Event synchronization
 Idempotent semiring
 Lyapunov exponent
 Convergence in distribution
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Activities
 1 Oral presentation

Evaluation of the Lyapunov exponent for stochastic dynamical systems with event synchronization
Николай Кимович Кривулин (Speaker)
19 Apr 2012Activity: Talk types › Oral presentation