Abstract: In this article, we investigate the stability analysis of a polynomial-fuzzy-model-based control system by employing a new form of approximate membership functions called Chebyshev ...

Learn how to determine if a function is even or odd. A function is even if the graph of the function is symmetrical about the y-axis, or a function is even if f(x) = f(-x). A function is odd if the ...

Learn how to determine the end behavior of the graph of a polynomial function. To do this, we will first need to make sure we have the polynomial in standard form with descending powers. We will then ...

Abstract: Estimating the domain of attraction for nonlinear systems is a key problem in control theory. While rational Lyapunov functions offer larger domain estimates than polynomial ones, their ...