The stability of impulsive incommensurate fractional order chaotic systems with Caputo derivative |
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| Institution: | 1. Department of Mathematics, Tongji University, 200092, China;2. School of Fundamental Studies, Shanghai University of Engineering Science, 201620, China;1. College of Mathematics and Statistics, Hubei Normal University, Huangshi 435002, China;2. School of Automation, Huazhong University of Science and Technology, Wuhan 430074, China;3. Institute for Information and System Science, Xi’an Jiaotong University, Xi’an 710049, China;1. Laboratory of Mathematics, Informatics and Systems (LAMIS), University of Larbi Tebessi, Tebessa 12002 Algeria;2. Università del Salento, Dipartimento Ingegneria Innovazione, 73100 Lecce, Italy;3. Department of Material Sciences, University of Tebessa, 12002, Algeria;4. Department of Mathematics, Faculty of Science, Al-Balqa Applied University, Salt 19117, Jordan;1. Laboratoire de Recherche en Automatique (LARA), École Nationale d’Ingénieurs de Tunis (ENIT) Université de Tunis El Manar, BP. 37, Le Belvédère, 1002 Tunis, Tunisia;2. LAJ, University of Jijel, BP. 98, Ouled-Aissa, 18000 Jijel, Algeria;3. Department of Telecommunications and Systems Engineering, Universitat Autònoma de Barcelona, Bellaterra, 08193 Barcelona, Spain;4. Departamento de Ingeniería, Facultad de Ciencias Naturales e Ingeniería, Universidad de Bogotá Jorge Tadeo Lozano, 22 Street, No. 4-96, Mod. 7A, Bogotá D.C. 110311, Colombia |
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| Abstract: | The stability of impulsive incommensurate fractional-order systems is investigated in this paper. Some novel stability criteria for impulsive incommensurate fractional-order systems are proposed. The presented sufficient condition, which is more general than those of the known ones, is suitable for the case of the fractional orders 0 < α1 ≤ α2 ≤ ⋅⋅⋅ ≤ αn ≤ 1. The simulation results by taking the incommensurate fractional-order T–D system and fractional order Chen economical system as two examples are delivered to illustrate the effectiveness of the proposed method. |
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