# MODELLING VIA BLOCK RANDOM FEEDBACK SYSTEMS

## Abstract

The paper deals with the simulation on the *n* variable random system developed
from the well-known second order feedback system. The investigated system
can be transformed into an *n* dimensional linear differential equation of the
form *\dot ξ _{n+1} =A_{n+1} ξ _{n+1} +Bu*, having a system matrix

*A*of random entries of dispersion sigma . The main idea is that every participant is acting on the others by the rule of second order feedback. It was proved that if

_{n+1}*c>σ \sqrt n*the system is (a.s.) stable, where the

*c*>

*0*constant measures the ``headstrongness´´ of the participants. The simulation results show the effect of σ on stability.

## Keywords:

simulation, modelling, stability, Block Random System.## How to Cite

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Articles