The effectiveness of this paper lies in the influence of the discretization step on the asymptotic stability of the positive two-dimensional fractional linear systems.It aims at investigating whether,how and when this...The effectiveness of this paper lies in the influence of the discretization step on the asymptotic stability of the positive two-dimensional fractional linear systems.It aims at investigating whether,how and when this step affects the asymptotically stable two-dimensional positive fractional linear continuous-discrete systems.To accomplish this study,a new test was outlined and used so that the asymptotic stability of the system was measured both before and after being exposed to the sampling step.Furthermore,the conditions of that stability were assessed.As a result,the outcome of the approximation shows that the stability is preserved under a particular set of conditions.On this basis,the newly proposed approach is recommended for testing the intended stability of such systems.A numerical example is tested to show the accuracy and the applicability of the proposed tests.展开更多
基金funded by the General Directorate for Scientific Research and Technological Development of Algeria(DGRSDT)supported by University of Mostaganem Abdelhamid Ibn Badis(UMAB)initiated by the concerted research project on Control and Systems theory(PRFU Project Code C00L03UN 270120200003)。
文摘The effectiveness of this paper lies in the influence of the discretization step on the asymptotic stability of the positive two-dimensional fractional linear systems.It aims at investigating whether,how and when this step affects the asymptotically stable two-dimensional positive fractional linear continuous-discrete systems.To accomplish this study,a new test was outlined and used so that the asymptotic stability of the system was measured both before and after being exposed to the sampling step.Furthermore,the conditions of that stability were assessed.As a result,the outcome of the approximation shows that the stability is preserved under a particular set of conditions.On this basis,the newly proposed approach is recommended for testing the intended stability of such systems.A numerical example is tested to show the accuracy and the applicability of the proposed tests.
