Relative Nonlinear Measure Method to Exponential Stability of Impulsive Delayed Differential Equations | Zendy

Xueli Song | Zendy; Xing Xin | Zendy; Huiya Dai | Zendy; Jigen Peng | Zendy

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Relative Nonlinear Measure Method to Exponential Stability of Impulsive Delayed Differential Equations

Author(s) -

Xueli Song,

Xing Xin,

Huiya Dai,

Jigen Peng

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 - 10.1155/2013/760893

Subject(s) - mathematics , exponential stability , measure (data warehouse) , lyapunov function , nonlinear system , exponential function , stability (learning theory) , convergence (economics) , matrix (chemical analysis) , differential equation , mathematical analysis , computer science , physics , materials science , quantum mechanics , database , machine learning , economics , composite material , economic growth

This paper is devoted to providing a novel method to global exponential stability of impulsive delayed differential equations. By utilizing relative nonlinear measure method, several global exponential stability criteria are presented for the impulsive delayed differential equations. Compared with the Razumikhin technique and Lyapunov function method, our method is less conservative and gives a convergence rate, and one of our stability criteria is more flexible by incorporating an adjustable matrix. An example and its simulation are provided to illustrate that our method is efficient and our results are new and correct

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