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In this paper, we present a new numerical method to solve an optimal control problem of a linear time varying delay systems. In this method, we use the cardinal Hermite functions as basis functions for approximation of functions. Also, we obtain operational matrices of integration and delay and use them to reduce the mentioned optimal control problem to a system of algebraic equations, which can be solved using newton's iteration methoddoi:10.5281/zenodo.3218830 fatcat:zbetyhfpujgk7h4hpbtuyqy6ea