Abstract
Fractional Positive Continuous-Time Linear Systems and Their ReachabilityA 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.
Subject
Applied Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)
Reference31 articles.
1. On the role of fractional calculus in electromagnetic theory;N. Engheta;IEEE Transactions on Atennas and Propagation,1997
2. Positive Linear Systems
3. Fractional-order hybrid control of robotic manipulators;N. Ferreira,2003
4. Fractional polynomials and nD systems;K. Gałkowski,2005
5. Positive 1D and 2D Systems
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