Controllability of fractional damped dynamical systems

Controllability of fractional damped dynamical systems

In this paper, we study the controllability of linear and nonlinear fractional damped dynamical systems, which involve fractional Caputo derivatives, with different order in finite dimensional spaces using the Mittag–Leffler matrix function and the iterative technique. A numerical example is provide...

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Veröffentlicht in:Applied mathematics and computation 2015-04, Vol.257, p.66-73
Hauptverfasser: Balachandran, K., Govindaraj, V., Rivero, M., Trujillo, J.J.
Format: Artikel
Sprache:eng
Schlagworte:
Computation
Controllability
Derivatives
Dynamical systems
Fractional differential equations
Gramian matrix
Iterative methods
Iterative technique
Mathematical analysis
Mathematical models
Mittag–Leffler function
Nonlinearity
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Beschreibung
Zusammenfassung:In this paper, we study the controllability of linear and nonlinear fractional damped dynamical systems, which involve fractional Caputo derivatives, with different order in finite dimensional spaces using the Mittag–Leffler matrix function and the iterative technique. A numerical example is provided to illustrate the theory.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2014.12.059