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arXiv · 1010.3204

Analysis of Caputo linear fractional dynamic systems with time delays through fixed point theory

M. De La Sen
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Abstract

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 non-expansive 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.

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M. De La Sen. 2010-10-15. Analysis of Caputo linear fractional dynamic systems with time delays through fixed point theory. https://arxiv.org/abs/1010.3204

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