Elsevier

IFAC Proceedings Volumes

Volume 43, Issue 14, September 2010, Pages 807-812
IFAC Proceedings Volumes

Piecewise quadratic Lyapunov functions for linear control systems with First Order Reset Elements

https://doi.org/10.3182/20100901-3-IT-2016.00195Get rights and content

Abstract

For a class of reset control systems, we reconsider the piecewise quadratic Lyapunov function construction proposed in Zaccarian et al. [2005]. In particular, we propose an alternative construction that addresses an analysis subtlety overlooked in that preliminary result. An example illustrates the potential pitfalls of ignoring this analysis subtlety. Another example is used to show that the new statement leads to numerical results that are similar to the ones that come from Zaccarian et al. [2005].

Keywords

First Order Reset Element
piecewise quadratic Lyapunov function
reset system

Cited by (0)

1

Work supported in part by the ANR project ArHyCo, ARPEGE, contract number ANR-2008 SEGI 004 01-30011459.

2

Work supported in part by ENEA-Euratom and MIUR.

3

Work supported by the Australian Research Council under the Future Fellowship.

4

Work supported in part by AFOSR grant number FA9550-09-1-0203 and NSF under grants CNS-0720842 and ECCS-0925637.

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