Vol. 9, No. 2, 2021

Download this article
Download this article For screen
For printing
Recent Issues
Volume 12, Issue 1
Volume 11, Issue 4
Volume 11, Issue 3
Volume 11, Issue 2
Volume 11, Issue 1
Volume 10, Issue 4
Volume 10, Issue 3
Volume 10, Issue 2
Volume 10, Issue 1
Volume 9, Issue 4
Volume 9, Issue 3
Volume 9, Issue 2
Volume 9, Issue 1
Volume 8, Issue 4
Volume 8, Issue 3
Volume 8, Issue 2
Volume 8, Issue 1
Volume 7, Issue 4
Volume 7, Issue 3
Volume 7, Issue 2
Volume 7, Issue 1
Volume 6, Issue 4
Volume 6, Issue 3
Volume 6, Issue 2
Volume 6, Issue 1
Volume 5, Issue 3-4
Volume 5, Issue 2
Volume 5, Issue 1
Volume 4, Issue 3-4
Volume 4, Issue 2
Volume 4, Issue 1
Volume 3, Issue 4
Volume 3, Issue 3
Volume 3, Issue 2
Volume 3, Issue 1
Volume 2, Issue 2
Volume 2, Issue 1
Volume 1, Issue 2
Volume 1, Issue 1
The Journal
About the Journal
Editorial Board
Submission Guidelines
Submission Form
Policies for Authors
Ethics Statement
ISSN: 2325-3444 (e-only)
ISSN: 2326-7186 (print)
Author Index
To Appear
Other MSP Journals
This article is available for purchase or by subscription. See below.
Stabilization of bilinear switching control systems by a mode-dependent average dwell time strategy

Messaoud Touahria and Naceurdine Bensalem

Vol. 9 (2021), No. 2, 107–126

In this paper, the stabilization problem for a class of hybrid systems is studied for the special case of “bilinear switching systems”, via a switching strategy called mode-dependent average dwell time, in which each subsystem has its own average dwell time and multiple Lyapunov function technique. Under this strategy of switching and this technique, we determine the state feedback control law and the time needed so that each subsystem keeps its stability and so the overall switching system stability. Therefore, our problem can be reformulated into linear matrix inequalities that can be solved numerically.

PDF Access Denied

We have not been able to recognize your IP address as that of a subscriber to this journal.
Online access to the content of recent issues is by subscription only.

Please contact your institution's librarian suggesting a subscription, for example by using our journal-recom­mendation form. Or, visit our subscription page for instructions on purchasing a subscription.

You may also contact us at contact@msp.org
or by using our contact form.

hybrid systems, bilinear systems, switched systems, stabilization, multiple Lyapunov functions, mode-dependent average dwell time
Mathematical Subject Classification
Primary: 34Dxx, 34Hxx, 34Mxx, 37Nxx, 93Dxx
Received: 18 April 2020
Revised: 3 November 2020
Accepted: 28 January 2021
Published: 17 April 2021

Communicated by Emilio Barchiesi
Messaoud Touahria
Laboratory of Fundamental and Numerical Mathematics
Department of Mathematics
Faculty of Sciences
Ferhat Abbas Sétif University 1
Naceurdine Bensalem
Laboratory of Fundamental and Numerical Mathematics
Department of Mathematics
Faculty of Sciences
Ferhat Abbas Sétif University 1