Functional Controllability of Nonlinear Systems by

This paper present a new method for determine functional controllability and optimal time problems of nonlinear dynamical systems by using measure theory. This problem transfer to an optimal control problem, then it problem transformed to measure space and using measure theory the problem changes to an infinite dimensional linear programming problem. Then by a suitable approximation the problem changes to a finite dimensional linear programming problem. By solving the linear programming problem control Function can determine such as a piecewise constant function.