The Semistability And Consensus For Discrete Stochastic Systems

The paper extends the semistability theory for deterministic systems to stochastic systems with a continuum of equilibrium points.By using restricted prolongation and Lyapunov method.the conditions about semistability and consensus are given.Firstly,the semistability of the discrete stochastic system is studied and sufficient conditions for almost sure (global)(uniform) semistability of the system are derived.The sufficient conditions for almost sure (global)(uniform)consensus are derived. Secondly, almost sure (global)(uni-form) semistability of stochastic system for time delay is investigated. Thirdly, sufficient conditions for almost sure (global)(uniform)finite time semistability of stochastic system is considered.