PROJECT TITLE :

A Piecewise Approximation Approach to Nonlinear Systems: Stability and Region of Attraction

ABSTRACT:

This paper discusses piecewise bilinear models and recurrent fuzzy systems as explicit classes of dynamic fuzzy systems, that will be proscribed in the identical framework due to their structural similarity. As universal approximators, they're capable of representing any continuous nonlinear system dynamics with arbitrary accuracy by suggests that of a rule base. 1st, basic definitions of each systems are revisited here, and unifying canonical forms are given. Then, a stability criterion comes for the system classes, which is based on approximating piecewise quadratic Lyapunov functions and formulated in terms of linear matrix inequalities. The most contribution is the demonstration of the stability analysis and estimation of region of attraction by suggests that of those models, outperforming methods reported within the literature.