Stability analysis of nonlinear fractional-order systems with variable-time impulses. Issue 7 (May 2017)

• Record Type: Journal Article
• Authors: Song, Qiankun; Yang, Xujun; Li, Chuandong; Huang, Tingwen; Chen, Xiaofeng
• Is Part Of: Journal of the Franklin Institute. Volume 354:Issue 7(2017:Jul.)
• Page Start: 2959
• Page End: 2978
• Publication Date: 2017-05
• Subjects: Science -- Periodicals; Technology -- Periodicals; Patents -- United States -- Periodicals; 505
• DOI: 10.1016/j.jfranklin.2017.01.029
• Languages: English
• ISSNs: 0016-0032

Abstract

Abstract: This paper aims at analyzing the stability analysis for a class of variable-time impulsive fractional-order nonlinear systems. Based on the theory of fractional calculus, the theory of impulsive differential equation, inequality techniques, and the B -equivalence method, the variable-time jump operator of the considered system can be updated as a fixed-time substitution, and the fractional-order system with the latter operator can be regarded as the comparison system of the original system. In addition, both graphic illustration and theoretical explanation are presented. Finally, two numerical examples are shown to demonstrate the validity and feasibility of the obtained results.