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7 results on '"GHEZZAR, MOHAMMED AMINE"'

6. ON THE STABILITY OF 2D GENERAL ROESSER LYAPUNOV SYSTEMS.

Author

GHEZZAR, MOHAMMED AMINE, BOUAGADA, DJILLALI, BENYETTOU, KAMEL, CHADLI, MOHAMMED, and VAN DOOREN, PAUL

Subjects
SYSTEMS theory, LYAPUNOV stability, LINEAR matrix inequalities
Abstract

This paper addresses the problem of stability for general two-dimensional (2D) discrete-time and continuous-discrete time Lyapunov systems, where the linear matrix inequalities (LMI's) approach is applied to derive a new sufficient condition for the asymptotic stability. [ABSTRACT FROM AUTHOR]

Published
2021
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7. Influence of discretization step on positivity of a certain class of two-dimensional continuous-discrete fractional linear systems.

Author

Ghezzar, Mohammed Amine, Bouagada, Djillali, and Chadli, Mohammed

Subjects
DISCRETIZATION methods, LINEAR systems, CHEMICAL reactors, FRACTIONAL calculus, CAPUTO fractional derivatives, DIFFERENTIATION (Mathematics)
Abstract

A method is proposed in this article to study the influence of discretization step on positivity for a certain class of fractional continuous discrete-time linear system introduced in Kaczorek (2011a, B. Pol. Acad. Sci-Tech. Sci. 59, 575—579). The relation between the value of the sampling step and positivity of this class of system is proposed, i.e. under which conditions the two-dimensional discrete-time linear system obtained by discretization from the two-dimensional continuous discrete-time linear system will be also positive if the two-dimensional continuous discrete-time linear system is positive. Numerical examples are introduced to illustrate the proposed results. [ABSTRACT FROM AUTHOR]

Published
2018
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