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A comparison type theorem for linear neutral fractional systems with distributed delays

机译:分布式延迟线性中性分数系统的比较型定理

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The aim of the present work is using some new matrix measure results to establish explicit conditions for global asymptotic stability of the zero solution of incommensurate neutral linear fractional differential system with distributed delays. The derivatives in the system can be in Riemann-Liouville or Caputo type. The proposed conditions allow the studying for global asymptotic stability of the zero solution of the considered neutral system to be replaced with studying of the same problem for the corresponding (auxiliary) retarded linear fractional systems, which is a significantly simpler task.
机译:目前工作的目的是使用一些新的矩阵测量结果,为具有分布延迟的所联态中性线性分数差分系统零解的全局渐近稳定性建立明确条件。系统中的衍生物可以在瑞马南 - Liouville或Caputo类型中。所提出的条件允许研究考虑中性系统的零解的全局渐近稳定性,以便在相同的(辅助)延迟的线性分数系统中的相同问题的研究中替换,这是一个明显更简单的任务。

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