Simulate the persisten deterministic shock

For deterministic model, how to simulate the external persistent Deterministic impact,Such as the Exogenous variables from 1-- 100 periods, The initial value is 1,the growth rate is 0.001,or the exogenous variables is Autoregressive process ,Simulation the variation of the endogenous variable 。

Please improve the wording of your question. I don’t understand what you are asking.