التفاصيل البيبلوغرافية
| العنوان: |
About Robust Stability of Caputo Linear Fractional Dynamic Systems with Time Delays through Fixed Point Theory. |
| المؤلفون: |
De la Sen, M.1 manuel.delasen@ehu.es |
| المصدر: |
Fixed Point Theory & Applications. 2011, Special section p1-19. 19p. |
| مصطلحات موضوعية: |
*FRACTIONAL calculus, *ROBUST control, *LINEAR systems, *TIME delay systems, *FIXED point theory, *NONEXPANSIVE mappings, *ASYMPTOTIC expansions, *METRIC spaces, *GLOBAL analysis (Mathematics) |
| مستخلص: |
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. [ABSTRACT FROM AUTHOR] |
| قاعدة البيانات: |
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