Analytic study on a state observer synchronizing a class of linear fractional differential systems |
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| Institution: | 1. Institute of Electronics and Mechanical Engineering, Yuri Gagarin State Technical University of Saratov, Polytechnicheskaya 77, Saratov 410054, Russia;2. Department of Nonlinear Processes, Saratov State University, Astrakhanskaya 83, Saratov 410012, Russia;1. Research Center of Analysis and Control for Complex Systems, Chongqing University of Posts and Telecommunications, Chongqing 400065, China;2. Key Laboratory of Industrial Internet of Things & Networked Control, Ministry of Education, Chongqing University of Posts and Telecommunications, Chongqing 400065, China;3. Department of Mathematics, Huazhong University of Science and Technology, Wuhan 430074, China;1. Department of Physics, Faculty of Sciences, University of Novi Sad, Trg Dositeja Obradovi?a 4, Novi Sad, Serbia;2. “Vin?a” Institute of Nuclear Sciences, Laboratory for Theoretical and Condensed Matter Physics – 020, University of Belgrade, PO Box 522, 11001 Belgrade, Serbia;1. A.I. Alikhanyan National Science Laboratory, 0036 Yerevan, Armenia;2. Departamento de Ciencias Exatas, Universidade Federal de Lavras, CP 3037, 37200-000 Lavras-MG, Brazil;3. Dipartimento di Scienza e Alta Tecnologia, Universitá degli Studi dell’Insubria, Via Valleggio 11, 22100 Como, Italy;4. I.N.F.N. Sezione di Milano, Via Celoria 16, 20133 Milano, Italy;5. Laboratoire Interdisciplinaire Carnot de Bourgogne, UMR CNRS 6303, Université de Bourgogne, 21078 Dijon Cedex, France;6. Institute for Physical Research, 0203 Ashtarak-2, Armenia |
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| Abstract: | This paper is concerned with Theorem 2 in Matignon and d’André-Novel (1997) 1], which was sufficient and necessary criterion on a state observer for a class of linear fractional differential systems. Based on the stability theory, the dual principle and the pole assignment theory of the fractional differential system, we have proved the validity of sufficiency of Theorem 2 in details. A counterexample is provided to show that the condition of Theorem 2 is not necessary. |
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| Keywords: | Fractional differential system State observer Synchronization |
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