New Results on Global Exponential Stability of Impulsive Functional Differential Systems with Delayed Impulses | Zendy

Pei Cheng | Zendy; Zheng Wu | Zendy; Lianglong Wang | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

New Results on Global Exponential Stability of Impulsive Functional Differential Systems with Delayed Impulses

Author(s) -

Pei Cheng,

Zheng Wu,

Lianglong Wang

Publication year - 2012

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 - 10.1155/2012/376464

Subject(s) - mathematics , complement (music) , exponential stability , lyapunov function , stability (learning theory) , impulse (physics) , exponential function , control theory (sociology) , differential (mechanical device) , amplitude , mathematical analysis , computer science , artificial intelligence , biochemistry , chemistry , physics , control (management) , nonlinear system , quantum mechanics , machine learning , complementation , engineering , gene , phenotype , aerospace engineering

By using the Lyapunov functions and the Razumikhin techniques, the exponential stability of impulsive functional differential systems with delayed impulses is investigated. The obtained results have shown that the system will stable if the impulses’ frequency and amplitude are suitably related to the increase or decrease of the continuous flows, and they improve and complement ones from some recent works. An example is provided to illustrate the effectiveness and the advantages of the results obtained

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research