On linear systems with a fractional derivation: Introductory theory and examples

Richard Hotzel and Michel Fliess

Mathematics and Computers in Simulation (MATCOM), 1998, vol. 45, issue 3, 385-395

Abstract: Linear systems with a derivation of non-integer order are examined as a special case of systems described by Mikusiński operators. Controllability and observability are examined using the theory of modules, as well as regulation of finite-dimensional systems. A stability result is obtained based upon the asymptotic properties of generalized Mittag-Leffler exponents. A solution of the tracking problem for σ-controllable fractional delay systems is presented. The article includes examples of a finite-dimensional fractional system and a fractional delay system.

Keywords: Fractional systems; Delay systems; Algebraic structure theory (search for similar items in EconPapers)
Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:45:y:1998:i:3:p:385-395

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