Picture of smart phone in human hand

World leading smartphone and mobile technology research at Strathclyde...

The Strathprints institutional repository is a digital archive of University of Strathclyde's Open Access research outputs. Strathprints provides access to thousands of Open Access research papers by University of Strathclyde researchers, including by Strathclyde researchers from the Department of Computer & Information Sciences involved in researching exciting new applications for mobile and smartphone technology. But the transformative application of mobile technologies is also the focus of research within disciplines as diverse as Electronic & Electrical Engineering, Marketing, Human Resource Management and Biomedical Enginering, among others.

Explore Strathclyde's Open Access research on smartphone technology now...

Two characterizations of switched nonlinear systems with average dwell time

Wang, Jiqiang and Hu, Zhizhong and Yue, Hong and Dimirovski, Georgi (2016) Two characterizations of switched nonlinear systems with average dwell time. International Journal of Applied Mathematics and Machine Learning, 4 (2). pp. 81-91. ISSN 2394-2258

Text (Wang-etal-IJAMML2016-Charecterizations-of-switched-nonlinear systems)
Wang_etal_IJAMML2016_Charecterizations_of_switched_nonlinear_systems.pdf - Final Published Version

Download (165kB) | Preview


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.