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Conference on Non-integer Order Calculus and Its Applications

RRNR 2017: Non-Integer Order Calculus and its Applications pp 164–179Cite as

Fractional Linear Systems with Memory Deficiency and Their State-Space Integer-Order Approximation

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Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 496))

Abstract

The current state vector in non-integer order systems depends on large number of previous states, i.e. on the memory efficiency of the system. If a memory impairment occurs, the current fractional order system switches to the system with another behavior. In the paper some non-integer order models of biological-like systems with memory deficiency are defined and a state-space integer-order approximation of such models is introduced. Some numerical examples of such approximation are shown.

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Authors and Affiliations

  1. West Pomeranian University of Technology, Szczecin, ul. 26 Kwietnia 10, 71-126, Szczecin, Poland

    Stefan Domek

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  1. Stefan Domek
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Correspondence to Stefan Domek .

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Editors and Affiliations

  1. Institute of Applied Computer Science, Lodz University of Technology, Lodz, Poland

    Piotr Ostalczyk

  2. Institute of Applied Computer Science, Lodz University of Technology, Lodz, Poland

    Dominik Sankowski

  3. Institute of Applied Computer Science, Lodz University of Technology, Lodz, Poland

    Jacek Nowakowski

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Domek, S. (2019). Fractional Linear Systems with Memory Deficiency and Their State-Space Integer-Order Approximation. In: Ostalczyk, P., Sankowski, D., Nowakowski, J. (eds) Non-Integer Order Calculus and its Applications. RRNR 2017. Lecture Notes in Electrical Engineering, vol 496. Springer, Cham. https://doi.org/10.1007/978-3-319-78458-8_15

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  • DOI: https://doi.org/10.1007/978-3-319-78458-8_15

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-78457-1

  • Online ISBN: 978-3-319-78458-8

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