Stability of impulsive delayed linear differential systems with delayed impulses Academic Article

abstract

• 2015 The Franklin Institute. In this paper, uniform stability problem of impulsive delayed differential systems with delayed impulses is investigated. By means of the Lyapunov function method combined with Razumikhin technique and classic analysis methods, the criteria of uniform stability, uniform asymptotic stability and exponential stability for impulsive delay systems with delayed impulses are obtained. The numerical examples are given to illustrate the effectiveness of the proposed conclusions.

authors

• Huang, Tingwen

published proceedings

• JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS

author list (cited authors)

• Wang, H., Duan, S., Li, C., Wang, L., & Huang, T.

citation count

• 22

complete list of authors

• Wang, Huamin||Duan, Shukai||Li, Chuandong||Wang, Lidan||Huang, Tingwen

publication date

• August 2015

publisher

• Elsevier  Publisher

published in

• Journal of the Franklin Institute  Journal

Digital Object Identifier (DOI)

• 10.1016/j.jfranklin.2014.12.009

start page

• 3044

end page

• 3068

volume

• 352

issue

• 8

URL

• http%3A%2F%2Fdx.doi.org%2F10.1016%2Fj.jfranklin.2014.12.009