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In this paper, we investigate the global practical uniform  h -stability analysis problem for a certain class of nonlinear non-autonomous systems where the associated nominal system is linear that depends on the time  t  and the perturbation term satisfies some conditions. Moreover, with the help of the new notion of practical  h -stable functions, we study the separation principle in the practical sense for two classes of nonlinear non-autonomous systems having a nominal linear part. We propose some classes of memoryless state linear and nonlinear feedback controllers. Furthermore, an illustrative example is given to demonstrate the applicability of main result.

A practical separation principle for nonlinear non-autonomous systems