New Results on Stability and Stabilization of Delayed Caputo Fractional Order Systems with Convex Polytopic Uncertainties |
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Authors: | Dinh Cong Huong Mai Viet Thuan Duong Thi Hong |
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Affiliation: | 1.Department for Management of Science and Technology Development, Ton Duc Thang University, Ho Chi Minh City, Vietnam ;2.Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam ;3.Department of Mathematics and Informatics, Thainguyen University of Sciences, Thainguyen, Vietnam ; |
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Abstract: | In this paper, the problems of robust stability and stabilization, for the first time, are studied for delayed fractional-order linear systems with convex polytopic uncertainties. The authors derive some sufficient conditions for the problems based on linear matrix inequality technique combined with fractional Razumikhin stability theorem. All the results are obtained in terms of linear matrix inequalities that are numerically tractable. The proposed results are quite general and improve those given in the literature since many factors, such as discrete and distributed delays, convex polytopic uncertainties, global stability and stabilizability, are considered. Numerical examples and simulation results are given to illustrate the effectiveness of the effectiveness of our results. |
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