Volume no :4, Issue no: 2, June (2016)

International Journal of Applied Mathematics and Machine Learning

TWO CHARACTERIZATIONS OF SWITCHED NONLINEAR SYSTEMS WITH AVERAGE DWELL TIME

Author's: Jiqiang Wang, Zhongzhi Hu, Hong Yue and Georgi Dimirovski
Pages: [81] - [91]
Received Date: January 21, 2016; Revised March 19, 2016
Submitted by: Li Li
DOI: http://dx.doi.org/10.18642/ijamml_7100121626

Abstract

This note aims to establish the fast switching condition with average dwell time satisfying an upper bound. Important results are obtained on the behaviour of switched nonlinear dynamical systems. In specific, this note contributes in the following three aspects: (1) establish the condition of fast switching of switched nonlinear systems; (2) obtain the condition of arbitrary switching stability of switched nonlinear dynamical systems using a weak Lyapunov functions approach; and (3) prove the necessity of the average dwell time condition associated with the conventional multiple Lyapunov functions’ framework.

Keywords

switched nonlinear systems, multiple Lyapunov function, average dwell time, arbitrary switching stability.