Stability analysis of continuous-time linear systems consisting of n subsystems with different fractional orders

By Mikolaj Buslowicz. 2012

69 citations recorded by the source corpus.

The stability problem of continuous-time linear systems described by the state equation consisting of n subsystems with different fractional orders of derivatives of the state variables has been considered. The methods for asymptotic stability checking have been given. The method proposed in the general case is based on the Argument Principle and it is similar to the modified Mikhailov stability criterion known from the stability theory of natural order systems. The considerations are illustrated by numerical examples.

Subfields: Aerospace Engineering, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/8591591c28c61209ce3552e9128687877e785337

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In Control and Systems Engineering

1. Adam Czornik
2. Jerzy Klamka
3. Michal Niezabitowski

Citations in the corpus

• Stability and controllability of switched systems (2013, background): “Also, it would be very interesting to extend the reported results on fractional order systems [74] or positive systems [75].”