Here, we consider a class of optimal control problems (OCP) contain- ing nonlinear dynamical systems with the quadratic functionals of state variables. The major part of our technique is based upon linear com- bination property of intervals (LCPI) such that using this property the nonlinear dynamical system is converted to a linear one. And, the ma- jor dierence of our approach from a large number of direct approaches for solving OCPs is that we nally solve a convex (linear or quadratic) programming problem which its optimal solution is global. We also ex- tend our technique to a class of optimal control problems governed by dierential inclusions (DI). The proposed idea is illustrated by numer- ical examples. Moreover, a comparison is made with a discretization method.

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