Fractional Positive Continuous-Time Linear Systems and Their Reachability
| Jun 16, 2008
International Journal of Applied Mathematics and Computer Science
Selected Topics in Biological Cybernetics (special section, pp. 117 - 170), Andrzej Kasiński and Filip Ponulak (Eds.)
Published Online: Jun 16, 2008
Page range: 223 - 228
DOI: https://doi.org/10.2478/v10006-008-0020-0
Keywords
This content is open access.
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.