Abstract
In this paper, it is shown that the standard adaptive control algorithms for time-invariant systems have an inherent robustness properties which makes them applicable. without modification, to time-varying systems whose parameters convergent at the rate of 1/t . it is proved that a system which is convergent at the rate of 1/t towords a strictly passive system is eventually strictly passive in a certain sense.Then we show the global convergence for the discrete time stochastic adaptive variance control when the system parameters are convergent at the rate of lit to values satisfying the conditions for globally convergent time-invariant system. Some properties of the systems on strong consistency are studied
Published Version
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