Necessary and sufficient conditions for finite-time stability of linear systems

Authors

Chaouki T. Abdallah
F. Amato
M. Ariola
C. Cosentino
P. Dorato

Document Type

Article

Publication Date

6-4-2003

Abstract

In this paper we consider the finite-time stability and finite-time boundedness problems for linear systems subject to exogenous disturbances. The main results of the paper are some necessary and sufficient conditions, obtained by means of an approach based on operator theory; such conditions improve some recent results on this topic. An example is provided to illustrate the proposed technique.

Publisher

IEEE

Publication Title

Proceedings of the 2003 American Control Conference

ISSN

0743-1619

First Page

4452

Last Page

4456

DOI

10.1109/ACC.2003.1240541

Language (ISO)

English

Sponsorship

IEEE

Keywords

Asymptotic stability, Chaos, Control systems

Recommended Citation

Abdallah, Chaouki T.; F. Amato; M. Ariola; C. Cosentino; and P. Dorato. "Necessary and sufficient conditions for finite-time stability of linear systems." Proceedings of the 2003 American Control Conference (2003): 4452-4456. doi:10.1109/ACC.2003.1240541.