This technical note proposes a switching anti-windup design, which aims to enlarge the domain of attraction of the closed-loop system. Multiple anti-windup gains along with an index function that orchestrates the switching among these anti-windup gains are designed based on the min function of multiple quadratic Lyapunov functions. In comparison with the design of a single anti-windup gain whic...

We prove local limit theorems for Gibbs-Markov processes in the domain of attraction of normal distributions. x1 Introduction It is well known that a random variable X belongs to the domain of attraction of a normal distribution DA(2) if its characteristic function satisses () log E exppitX] = itt ? 1 2 t 2 L(1=jtj) for some slowly varying function L : R + ! R + which is bounded below and some ...

Consider the set of Borel probability measures on Rk and endow it with topology weak convergence. We show that subset all which belong to domain attraction some multivariate extreme value distributions is dense first Baire category. In addition, analogue result holds in context free theory.

In this paper, an R-analytical function and the sequence of its Taylor polynomials (which are Lyapunov functions different from those of Vanelli & Vidyasagar (1985, Automatica, 21(1):6 9–80)) is presented, in order to determine and approximate the domain of attraction of the exponentially asymptotically stable zero steady state of an autonomous, R-analytical system of differential equations. Th...