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Frequency Domain Method for Stability Analysis of Linear Continuous-Time State-Space Systems with Double Fractional Orders

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Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 257))

Abstract

The stability problem of continuous-time linear systems described by the state equation with double fractional orders has been considered. The frequency domain method for stability checking of the system with commensurate or non-commensurate orders has been given. The method proposed is based on the Argument Principle. The considerations are illustrated by numerical examples.

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Busłowicz, M. (2013). Frequency Domain Method for Stability Analysis of Linear Continuous-Time State-Space Systems with Double Fractional Orders. In: Mitkowski, W., Kacprzyk, J., Baranowski, J. (eds) Advances in the Theory and Applications of Non-integer Order Systems. Lecture Notes in Electrical Engineering, vol 257. Springer, Heidelberg. https://doi.org/10.1007/978-3-319-00933-9_3

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  • DOI: https://doi.org/10.1007/978-3-319-00933-9_3

  • Publisher Name: Springer, Heidelberg

  • Print ISBN: 978-3-319-00932-2

  • Online ISBN: 978-3-319-00933-9

  • eBook Packages: EngineeringEngineering (R0)

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