This paper investigates the global stability and the global asymptotic stability independent of the sizes of the delays of linear time-varying Caputo fractional dynamic systems of real fractional order possessing internal point delays. The investigation is performed via fixed point theory in a complete metric space by defining appropriate nonexpansive or contractive self-mappings from initial conditions to points of the state-trajectory solution. The existence of a unique fixed point leading to a globally asymptotically stable equilibrium point is investigated, in particular, under easily testable sufficiency-type stability conditions. The study is performed for both the uncontrolled case and the controlled case under a wide class of state feedback laws. ; Ministerio de Educación (DPI2009-07197) y Gobierno Vasco (IT378-10 SAIOTEK S-PE09UN12)
About Robust Stability of Caputo Linear Fractional Dynamic Systems with Time Delays through Fixed Point Theory
01.01.2011
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
derivatives , operators , calculus , MATHEMATICS , space , APPLIED , GEOMETRY AND TOPOLOGY
DDC: | 629 |
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