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Delay-dependent Stability of Runge-Kutta Methods for Neutral Systems with Distributed Delays
Shouyan Wu,Yuhao Cong
Keywords:Neutral systems with distributed delays, delay-dependent stability, Pouzet-type Runge-Kutta methods, argument principle.
Abstract:
      The aim of this paper is to analyze the asymptotic stability of Runge-Kutta (RK) methods for neutral systems with distributed delays. With an adaptation of the argument principle, some sufficient criteria for weak delay-dependent stability of numerical solutions are proposed. Several numerical examples are performed to confirm the effectiveness of our theoretical results.