Stability criteria in terms of two measures for functional differential equation with variable-time impulses Academic Article

abstract

• This paper focuses on the stability in terms of two measures for functional differential equation with variabletime impulses. Being different from most of existing literatures, the impulses of functional differential equation are assumed to be closely associated to the current state. We propose a new comparison principle for the considered systems and establish several stability criteria in terms of two measures. Also, the theoretical results are applied in a class of delayed neural network systems with variabletine impulses, and numerical simulations are introduced to illustrate the effectiveness of our results. Copyright 2014 John Wiley & Sons, Ltd.

authors

• Huang, Tingwen

published proceedings

• MATHEMATICAL METHODS IN THE APPLIED SCIENCES

author list (cited authors)

• Liu, C., Li, C., Huang, T., & Wang, H.

citation count

• 4

complete list of authors

• Liu, Chao||Li, Chuandong||Huang, Tingwen||Wang, Hui

publication date

• September 2015

publisher

• Wiley  Publisher

published in

• Mathematical Methods in the Applied Sciences  Journal

keywords

• Functional Differential Equation (fde)
• Stability In Terms Of Two Measures
• Variable-time Impulse

Digital Object Identifier (DOI)

• 10.1002/mma.3265

start page

• 2922

end page

• 2936

volume

• 38

issue

• 14

URL

• http://dx.doi.org/10.1002/mma.3265