Three MATLAB-based tools have been developed for the convenient assessment of stability conditions for nonlinear systems.: method of linearization, Lyapunov direct method and Popov criterion. Examples are presented to show the efficacy of these extensions within the MATLAB environment.
You can use the ANM "ASYMPTOTIC-NUMERICAL METHOD", it's a perturbation technique based on the computation of a Taylor series expansion per step, programmed on MATLAB and you can get it for free; The only difficult is to transform your nonlinear system into a quadratic form...
Three MATLAB-based tools have been developed for the convenient assessment of stability conditions for nonlinear systems.: method of linearization, Lyapunov direct method and Popov criterion. Examples are presented to show the efficacy of these extensions within the MATLAB environment.