MT
Department
Mathematics Department
Research Interests
Optimal control
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Recent Publications
2021
STABILIZATION OF BILINEAR SWITCHING CONTROL SYSTEMS BY A MODE-DEPENDENT AVERAGE DWELL TIME STRATEGY
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.
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.
Citation
M. TOUAHRIA Messaoud, (2021), "STABILIZATION OF BILINEAR SWITCHING CONTROL SYSTEMS BY A MODE-DEPENDENT AVERAGE DWELL TIME STRATEGY", [international] Mathematics and Mechanics of Complex Systems , msp.org/memocs