Enlarging the domain of attraction in nonlinear system with input saturation.

This present work focuses on the problem of estimating the largest region of attraction of nonlinear system with saturation. This nonlinear system can be put in the form of differential algebraic representation, as well as to take in to account the presence of saturation we have used a generalized sector condition for the dead zone nonlinearity. The aims of this paper is to find the large region of attraction identified with the direct theory of Lyapunov function and for find the largess domain of attraction. We proposed to use an advanced technique of optimization JAYA which swift and precise. In this present study, we present an example for demonstrate the efficiency of the proposed approach.