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Stability analysis of linear continuous-time fractional systems of commensurate order

Busłowicz M.

Journal of Automation Mobile Robotics and Intelligent Systems

2009

Vol. 3, No. 1

12-17

The paper considers the stability problem of linear time-invariant continuous-time systems of fractional commensurate order. It is shown that the system is stable if and only if plot of rational function of fractional order, called as the generalised modified Mikhailov plot, and does not encircle the origin of the complex plane. The considerations are illustrated by numerical examples.