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In this study, as a continuation to the studies of the self-interaction diffusion driven by subfractional Brownian motion  S   H  , we analyze the asymptotic behavior of the linear self-attracting diffusion:   d    X    t    H    =  d    S    t    H    −  θ∫    0    t(X    t    H    −    X    s    H)   d  s    d  t  +  ν  d  t  ,X    0    H    =  0  ,where  θ  &amp;gt; 0 and    ν  ∈  R    are two parameters. When  θ  &amp;lt; 0, the solution of this equation is called self-repelling. Our main aim is to show the solution  X   H   converges to a normal random variableX    ∞    Hwith mean zero as  t  tends to infinity and obtain the speed at which the process  X   H   converges toX    ∞    Has  t  tends to infinity.

Large Time Behavior on the Linear Self-Interacting Diffusion Driven by Sub-Fractional Brownian Motion II: Self-Attracting Case