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New stability tests for fractional positive descriptor linear systems

Tre艣膰 / Zawarto艣膰
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Warianty tytu艂u
J臋zyki publikacji
EN
Abstrakty
EN
The asymptotic stability of fractional positive descriptor continuous-time and discrete-time linear systems is considered. New sufficient conditions for stability of fractional positive descriptor linear systems are established. The efficiency of the new stability conditions are demonstrated on numerical examples of fractional continuous-time and discrete-time linear systems.
S艂owa kluczowe
Rocznik
Strony
71--81
Opis fizyczny
Bibliogr. 20 poz., wzory
Tw贸rcy
  • Bialystok University of Technology, Faculty of Electrical Engineering, Wiejska 45D, 15-351 Bia艂ystok, Poland
  • Bialystok University of Technology, Faculty of Electrical Engineering, Wiejska 45D, 15-351 Bia艂ystok, Poland
Bibliografia
  • [1] A. Berman and R.J. Plemmons: Nonnegative Matrices in the Mathematical Sciences. SIAM, 1994.
  • [2] L. Farina and S. Rinaldi: Positive Linear Systems; Theory and Applications. J. Wiley, New York, 2000.
  • [3] T. Kaczorek: Descriptor positive discrete-time and continuous-time nonlinear systems. Proceedings of SPIE, 9290, (2014). DOI: 10.1117/12.2074558.
  • [4] T. Kaczorek: New stability tests for positive descriptor linear systems. Bulletin of the Polish Academy of Sciences: Technical Sciences, 70(3), (2022). DOI: 10.24425/bpasts.2022.140688.
  • [5] T. Kaczorek: Positive 1D and 2D Systems. Springer-Verlag, London, 2002.
  • [6] T. Kaczorek: Positive linear systems consisting of 饾憶 subsystems with different fractional orders. IEEE Transactions on Circuits and Systems, 58(6), (2011), 1203-1210. DOI: 10.1109/TCSI.2010.2096111.
  • [7] T. Kaczorek: Positive fractional continuous-time linear systems with singular pencils. Bulletin of the Polish Academy of Sciences: Technical Sciences, 60(1), (2012), 9-12. DOI: 10.2478/v10175-012-0002-0.
  • [8] T. Kaczorek: Positive singular discrete-time linear systems. Bulletin of the Polish Academy of Sciences: Technical Sciences, 45(4), (1997), 619-631.
  • [9] T. Kaczorek: Selected Problems of Fractional Systems Theory. Springer, 2011.
  • [10] T. Kaczorek and K. Borawski: Descriptor Systems of Integer and Fractional Orders. Springer, 2021.
  • [11] A.A. Kilbas, H.M. Srivastava, and J.J. Trujillo: Theory and Application of Fractional Differential Equation. Mathematics Studies, North-Holland, Elsevier, New York, 2006.
  • [12] P. Ostalczyk: Discrete Fractional Calculus: Application in Control and Image Processing. Word Scientific, River Edge, 2016.
  • [13] K.B. Oldham and J. Spanier: The Fractional Calculus. Academic Press, New York, 1974.
  • [14] I. Podlubny: Fractional Differential Equations. Academic Press, San Diego, 1999.
  • [15] K. Rogowski: General response formula for CFD pseudo-fractional 2D continuous linear systems described by the Roesser model. Symmetry, 12(12), (2020), 1-12. DOI: 10.3390/sym12121934.
  • [16] A. Ruszewski: Practical and asymptotic stabilities for a class of delayed fractional discrete-time linear systems. Bulletin of the Polish Academy of Sciences: Technical Sciences, 67(3), (2019), 509-515. DOI: 10.24425/bpasts.2019.128426.
  • [17] A. Ruszewski: Stability of discrete-time fractional linear systems with delays. Archives of Control Sciences, 29(3), 2019, 549-567. DOI: 10.24425/acs.2019.130205.
  • [18] 艁. Sajewski: Descriptor fractional discrete-time linear system and its solution - comparison of three different methods, In: International Conference on Automation: Challenges in Automation, Robotics and Measurement Techniques, Advances in Intelligent Systems and Computing, part of the book series: Advances in Intelligent Systems and Computing, 440, (2016), 37-50. DOI: 10.1007/978-3-319-29357-8_4.
  • [19] 艁. Sajewski: Descriptor fractional discrete-time linear system with two different fractional orders and its solution. Bulletin of the Polish Academy of Sciences: Technical Sciences, 64(1), (2016), 15-20. DOI: 10.1515/bpasts-2016-0003.
  • [20] J. Zhang, Z. Han, H. Wu, and J. Hung: Robust stabilization of discrete-time positive switched systems with uncertainties and average dwell time switching. Circuits, Systems, and Signal Processing, 33(1), (2014), 71-95. DOI: 10.1007/s00034-013-9632-1.
Uwagi
Opracowanie rekordu ze 艣rodk贸w MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Spo艂eczna odpowiedzialno艣膰 nauki" - modu艂: Popularyzacja nauki i promocja sportu (2022-2023)
Typ dokumentu
Bibliografia
Identyfikator YADDA
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