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

abstract

• Copyright 2014 John Wiley & Sons, Ltd. This paper focuses on the stability in terms of two measures for functional differential equation with variable-time 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 variable-tine impulses, and numerical simulations are introduced to illustrate the effectiveness of our results.

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