Exponential stability of the exact solutions and the numerical solutions for a class of linear impulsive delay differential equations

• G.L. Zhang ^[1] ; M.H. Song ^[1] ; M.Z. Liu ^[1]
  1. [1] Harbin Institute of Technology

     Harbin Institute of Technology

     China

     
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 285, Nº 1 (September 2015), 2015, págs. 32-44
• Idioma: inglés
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• Resumen

  • This paper is concerned with exponential stability of a class of linear impulsive delay differential equations (IDDEs). Exponential stability of this kind of equations is studied by the properties of delay differential equations (DDEs) without impulsive perturbations. When different delay differential equations (DDEs) without impulsive perturbations are chosen, different sufficient conditions for exponential stability of the linear impulsive delay differential equations (IDDEs) are provided. Numerical methods for this kind of equations are constructed. The convergence and exponential stability of the numerical solutions are studied and some experiments are given.