Dynamic analysis and control of three dimensional energy supply and demand system with time delay

In this paper, three dimensional energy supply and demand system with time delay has been considered. We analyze stability properties of the equilibrium points and obtain the sufficient condition of the system producing hopf bifurcation. By using the center manifold theory and normal form method, we have the explicit formulae which result in the properties of hopf bifurcation. Numerical simulations illustrate the effectiveness of our results. Finally, linear feedback control has been designed to make the time delay system asymptotically stable for the equilibrium points.