Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Stability results for two classes of linear time‐delay and hybrid systems

Stability results for two classes of linear time‐delay and hybrid systems The stability of linear time‐delay systems with point internal delays is difficult to deal with in practice because of the fact that their characteristic equation is usually of transcendent type rather than of polynomial type. This feature causes usually the system to possess an infinite number of poles. In this paper, stability tests for this class of systems are obtained either based on extensions of classical tests applicable to delay‐free systems or on approaches within the framework of two‐dimensional digital filters. Some of those two‐dimensional stability tests are also proved to be useful for stability testing of a common class of linear hybrid systems which involve coupled continuous and digital substates after a slight “ad‐hoc” adaptation of the tests for that situation. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Engineering Computations Emerald Publishing

Stability results for two classes of linear time‐delay and hybrid systems

M. De la Sen; C.F. Alastruey
Engineering Computations , Volume 21 (7): 18 – Oct 1, 2004
Download PDF
18 pages

Loading next page...
 
/lp/emerald-publishing/stability-results-for-two-classes-of-linear-time-delay-and-hybrid-OVzRI62Gyv
Publisher
Emerald Publishing
Copyright
Copyright © 2004 Emerald Group Publishing Limited. All rights reserved.
ISSN
0264-4401
DOI
10.1108/02644400410548369
Publisher site
See Article on Publisher Site

Abstract

The stability of linear time‐delay systems with point internal delays is difficult to deal with in practice because of the fact that their characteristic equation is usually of transcendent type rather than of polynomial type. This feature causes usually the system to possess an infinite number of poles. In this paper, stability tests for this class of systems are obtained either based on extensions of classical tests applicable to delay‐free systems or on approaches within the framework of two‐dimensional digital filters. Some of those two‐dimensional stability tests are also proved to be useful for stability testing of a common class of linear hybrid systems which involve coupled continuous and digital substates after a slight “ad‐hoc” adaptation of the tests for that situation.

Journal

Engineering Computations – Emerald Publishing

Published: Oct 1, 2004

Keywords: Stability (control theory); Man‐machine systems; Time series analysis

There are no references for this article.