Abstract
In the paper we analyse a fractional-order linear state-space model with multiple delays. We show that the multiple delay in the fractional-order state-space model introduces higher integer-order discrete differentiation action. Two fractional order state-space models without delays are derived. The equivalent models may be useful in the system stability analysis. The investigations are supported by numerical examples.
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Acknowledgments
The work was supported by Polish funds of National Science Center, granted on the basis of decision DEC-2016/23/B/ST7/03686.
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Ostalczyk, P., Bąkała, M., Nowakowski, J. (2019). State Delays Extraction in the Fractional-Order State-Space Model. 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_18
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DOI: https://doi.org/10.1007/978-3-319-78458-8_18
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