On linear systems with a fractional derivation: Introductory theory and examples. (English) Zbl 1017.93508
Summary: 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 \(\sigma\)-controllable fractional delay systems is presented. The article includes examples of a finite-dimensional fractional system and a fractional delay system.
MSC:
| 93C30 | Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) |
| 93B05 | Controllability |
Software:
CRONEReferences:
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