Abstract
The stability problem of fractional continuous-time descriptor linear systems described by the state equation with two differential operators of fractional orders has been considered. Such systems are called the two-term systems. The analytic and frequency domain methods for stability checking of the system with commensurate orders of fractional derivatives have been given. The frequency domain method is based on the Argument Principle and it is simple to apply. The considerations are illustrated by numerical example.
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Busłowicz, M. (2014). Stability Analysis of Descriptor Continuous-Time Two-Term Linear Systems of Fractional Orders. In: Szewczyk, R., Zieliński, C., Kaliczyńska, M. (eds) Recent Advances in Automation, Robotics and Measuring Techniques. Advances in Intelligent Systems and Computing, vol 267. Springer, Cham. https://doi.org/10.1007/978-3-319-05353-0_5
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DOI: https://doi.org/10.1007/978-3-319-05353-0_5
Publisher Name: Springer, Cham
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