Enlarging the DA of Nonlinear Polynomial Controlled Systems via Jaya Optimization

The last few years marked remarkable progress in developing stability analysis techniques directed at nonlinear systems. In this context, this work presents a Lyapunov-based method to estimate the region of stability of nonlinear systems. Based on LMI techniques and JAYA optimization, this work provides a maximized volume of the DA. The LMI technique is used to get the largest estimation of the DA from a given Lyapunov function and input controller. The JAYA algorithm is introduced to attain a maximized volume of the DA through an optimal selection of the Lyapunov function's parameters and input controller coefficients.