On Lyapunov-Krasovskii Functionals for Switched Nonlinear Systems with Delay
Optimization and Control
2013-11-20 v1
Abstract
We present a set of results concerning the existence of Lyapunov-Krasovskii functionals for classes of nonlinear switched systems with time-delay. In particular, we first present a result for positive systems that relaxes conditions recently described in \cite{SunWang} for the existence of L-K functionals. We also provide related conditions for positive coupled differential-difference positive systems and for systems of neutral type that are not necessarily positive. Finally, corresponding results for discrete-time systems are described.
Cite
@article{arxiv.1311.4866,
title = {On Lyapunov-Krasovskii Functionals for Switched Nonlinear Systems with Delay},
author = {A. Yu. Aleksandrov and Oliver Mason},
journal= {arXiv preprint arXiv:1311.4866},
year = {2013}
}
Comments
19 Pages