BULLETIN of the

POLISH ACADEMY of SCIENCES

TECHNICAL SCIENCES

BULLETIN of the POLISH ACADEMY of SCIENCES: TECHNICAL SCIENCES
Volume 60, Issue 2, June 2012

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pp 279 - 284

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

M. BUSLOWICZ
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.
Key words:

linear system, continuous-time, fractional, stability, Mikhailov criterion


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