Mittag-Leffler stability analysis of nonlinear fractional-order systems with impulses Academic Article

abstract

• 2016 Elsevier Inc. This paper is designed to deal with the Lyapunov stability analysis of fractional-order nonlinear systems with impulses. Based on the theory of fractional calculus, impulsive differential equation and S-procedure, several sufficient criteria are established to guarantee the MittagLeffler stability for the addressed model with appropriate impulsive controller. Furthermore, two numerical examples are given to verify the validity and feasibility of the obtained results.

authors

• Huang, Tingwen

published proceedings

• APPLIED MATHEMATICS AND COMPUTATION

author list (cited authors)

• Yang, X., Li, C., Huang, T., & Song, Q.

citation count

• 86

complete list of authors

• Yang, Xujun||Li, Chuandong||Huang, Tingwen||Song, Qiankun

publication date

• January 2017

publisher

• Elsevier  Publisher

published in

• Applied Mathematics and Computation  Journal

keywords

• Fractional-order Nonlinear System
• Impulse
• Mittag-leffler Stability
• S-procedure

Digital Object Identifier (DOI)

• 10.1016/j.amc.2016.08.039

start page

• 416

end page

• 422

volume

• 293

URL

• http://dx.doi.org/10.1016/j.amc.2016.08.039