Rodkina, Alexandra E.
Author Affiliation, Ana.
Department of Mathematics and Computer Science
Some applications of stochastic equations to industrial problems
Elaydi, S.; Ladas, G.; Popenda, J.; Rakowski, J.
Communication in difference equations: Proceedings of the fourth international conference on difference equations, Poznan, Poland, August 27-31, 1998
Place of Publication
Gordon and Breach Science Publishers
Date of Publication
Series Editor Role
Series Volume Identification
Series Issue Identification
The controlled motion of a robotic hand and the cutting process based on infeed grinding in the presence of random noises are investigated. To describe these problems continuous and discrete models are used. Sufficient conditions for the asymptotic stability of robot control system and cutting process under various random nonlinear noises and the restrictions on these noises are obtained. Lyapunov-Krasovskii functionals method and some approaches from the theory of random processes are applied. Sufficient conditions for the asymptotic stability of nonlinear stochastic difference equation of Volterra type are obtained.....