Fractional Positive Continuous-Time Linear Systems and Their Reachability

Tadeusz Kaczorek

doi:10.2478/v10006-008-0020-0

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Fractional Positive Continuous-Time Linear Systems and Their Reachability

International Journal of Applied Mathematics and Computer Science

Volume 18 (2008): Issue 2 (June 2008)

By: Tadeusz Kaczorek

Open Access

|Jun 2008

Abstract

A new class of fractional linear continuous-time linear systems described by state equations is introduced. The solution to the state equations is derived using the Laplace transform. Necessary and sufficient conditions are established for the internal and external positivity of fractional systems. Sufficient conditions are given for the reachability of fractional positive systems.

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