@inproceedings{43a8b6860cde4fa7a91a0e1ee9e90c0a,
title = "Stability analysis of networked control systems: A discontiuous lyapunov functional approach",
abstract = "This paper presents a new stability analysis of linear networked control systems. The new method is inspired by discontinuous Lyapunov functions that were introduced in [1] and [2] by using impulsive system representation of the sampled-data and of the networked control systems respectively. In the recent paper [3] piecewise-continuous (in time) Lyapunov-Krasovskii functionals have been suggested for the stability analysis of sampled-data systems in the framework of input delay approach. Differently from the existing Lyapunov functionals for systems with time-varying delays, the discontinuous ones can guarantee the stability under the sampling which may be greater than the analytical upper bound on the constant delay that preserves the stability. The objective of the present paper is to extend the discontinuous Lyapunov functional approach to networked control systems, where the sampling and the network-induced delays are taken into account. Our results depend on the upper bound of the network-induced delay and the improvement is achieved if the latter bound becomes smaller.",
keywords = "LMI, Lyapunov functional, Networked control systems, Sampled-data systems, Time-varying delay",
author = "Kun Liu and Emilia Fridman",
year = "2009",
doi = "10.1109/CDC.2009.5399885",
language = "English",
isbn = "9781424438716",
series = "Proceedings of the IEEE Conference on Decision and Control",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "1330--1335",
booktitle = "Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009",
address = "United States",
note = "48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009 ; Conference date: 15-12-2009 Through 18-12-2009",
}