Fixed-time stability and stabilization of impulsive dynamical systems Academic Article

abstract

• 2017 The Franklin Institute This paper mainly tends to consider the fixed-time stability behavior for impulsive dynamical systems. An efficient theorem is established to construct an impulsive comparison system. By means of inequality analysis method, certain average impulsive interval and Lyapunov function, some sufficient conditions are given to ensure the fixed-time stability of impulsive dynamical systems. Moreover, as an important application, the fixed-time stabilization of a class of coupled impulsive neural networks is proposed. By designing a discontinuous control law, several new criteria are obtained to guarantee the fixed-time stabilization of the coupled impulsive neural networks. Finally, two numerical simulations are provided to illustrate the validity of the theoretical analysis.

authors

• Huang, Tingwen

published proceedings

• JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS

author list (cited authors)

• Li, H., Li, C., Huang, T., & Ouyang, D.

citation count

• 41

complete list of authors

• Li, Hongfei||Li, Chuandong||Huang, Tingwen||Ouyang, Deqiang

publication date

• December 2017

publisher

• Elsevier  Publisher

published in

• Journal of the Franklin Institute  Journal

keywords

• Mental Health

Digital Object Identifier (DOI)

• 10.1016/j.jfranklin.2017.09.036

start page

• 8626

end page

• 8644

volume

• 354

issue

• 18

URL

• http://dx.doi.org/10.1016/j.jfranklin.2017.09.036