A comparison principle and stability for large-scale impulsive delay differential systems

• Autores: X. Shen, X. Liu, Y. Zhang
• Localización: Anziam journal: The Australian & New Zealand industrial and applied mahtematics journal, ISSN 1446-1811, Vol. 47, Nº 2, 2005, págs. 203-236
• Idioma: inglés
• DOI: 10.1017/s1446181100009998
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• Resumen

  • This paper studies the stability of large-scale impulsive delay differential systems and impulsive neutral systems. By developing some impulsive delay differential inequalities and a comparison principle, sufficient conditions are derived for the stability of both linear and nonlinear large-scale impulsive delay differential systems and impulsive neutral systems. Examples are given to illustrate the main results.