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Asymptotical stability analysis of Riemann‐Liouville q‐fractional neutral systems with mixed delays
Authors:Wengui Yang  Ahmed Alsaedi  Tasawar Hayat  Habib M Fardoun
Abstract:This paper investigates the asymptotical stability of Riemann‐Liouville q‐fractional neutral systems with mixed delays (constant time delay and distributed delay). By constructing some appropriate Lyapunov‐Kravsovskii functionals, some sufficient conditions on delay‐dependent and delay‐independent asymptotical stability are obtained in terms of linear matrix inequality (LMI). Our employed method is based on the direct calculation of quantum derivatives of the Lyapunov‐Kravsovskii functionals. Finally, two examples are presented to demonstrate the availability of our obtained results.
Keywords:asymptotical stability  Lyapunov‐Kravsovskii functional approach  q‐fractional neutral systems  Riemann‐Liouville q‐derivative
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