Optimal control in a model of endogenous growth for closed economic systems

In the work we study a mathematical model about control of investments distribution, when the technological change is taken into consideration as an increasing elasticity coefficient on the capital factor. There is proposed a solution algorithm to solve respective optimization control problem, where the investment funds are taken from the amount which was earlier intended for investments to the manufacture process. As a result, one can achieve at a final moment of time an additional volume of production, when compared with the one given by real statistical data, as well as to reach a maximum capital accumulation.