In this paper, a new approach using linear combination property of intervals and discretization is proposed to solve a class of nonlinear optimal control problems, containing a nonlinear system and linear functional, in three phases. In the first...

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In the first part, using linear combination property of intervals, we convert the nonlinear dynamical system

into an equivalent linear system. And in the second part, which we are dealing with a linear dynamical system,

using Legendre expansions...