Asymptotic Stability of a Class of Impulsive Delay Differential Equations

作者：Zhang, G. L.; Song, M. H.^*; Liu, M. Z.

来源：Journal of Applied Mathematics, 2012, 723893.

DOI：10.1155/2012/723893

• LYAPUNOV-RAZUMIKHIN METHOD
• EXPONENTIAL STABILITY
• TIME-DELAY
• SYSTEMS

This paper is concerned with a class of linear impulsive delay differential equations. Asymptotic stability of analytic solutions of this kind of equations is studied by the property of delay differential equations without impulsive perturbations. New numerical methods for this kind of equations are constructed. The convergence and asymptotic stability of the methods for this kind of equations are studied.

• 出版日期2012
• 单位哈尔滨工业大学