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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
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Abstract |
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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. |
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Keywords
hybrid systems, bilinear systems, switched systems,
stabilization, multiple Lyapunov functions, mode-dependent
average dwell time
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Mathematical Subject Classification
Primary: 34Dxx, 34Hxx, 34Mxx, 37Nxx, 93Dxx
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Milestones
Received: 18 April 2020
Revised: 3 November 2020
Accepted: 28 January 2021
Published: 17 April 2021
Communicated by Emilio Barchiesi
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Authors |
| Messaoud Touahria | |
| Laboratory of Fundamental and
Numerical Mathematics Department of Mathematics Faculty of Sciences Ferhat Abbas Sétif University 1 Sétif Algeria |
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| Naceurdine Bensalem | |
| Laboratory of Fundamental and
Numerical Mathematics Department of Mathematics Faculty of Sciences Ferhat Abbas Sétif University 1 Sétif Algeria |
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