Exponential Stability of Impulsive Delay Differential Equations | Zendy

Gui-Lai Zhang | Zendy; Minghui Song | Zendy; Mengmeng Liu | Zendy

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Exponential Stability of Impulsive Delay Differential Equations

Author(s) -

Gui-Lai Zhang,

Minghui Song,

Mengmeng Liu

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/938027

Subject(s) - exponential stability , mathematics , euler's formula , exponential function , delay differential equation , differential equation , stability (learning theory) , exponential integrator , class (philosophy) , mathematical analysis , euler method , control theory (sociology) , differential algebraic equation , nonlinear system , physics , computer science , ordinary differential equation , quantum mechanics , machine learning , artificial intelligence , control (management)

The main objective of this paper is to further investigate the exponential stability of a class of impulsive delay differential equations. Several new criteria for the exponential stability areanalytically established based on Razumikhin techniques. Some sufficient conditions, under which a class of linear impulsive delay differential equations are exponentially stable, are also given. An Euler method is applied to this kind of equations and it is shown that the exponential stability is preserved by the numerical process

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