Practical stability of nonlinear measure differential equations. (November 2018)

• Record Type: Journal Article
• Authors: Cao, Yueju; Sun, Jitao
• Is Part Of: Nonlinear analysis. Volume 30(2018)
• Page Start: 163
• Page End: 170
• Publication Date: 2018-11
• Subjects: Practical stability -- Measure differential equations -- Regulated functions -- Kurzweil–Stieltjes integral -- Hybrid systems; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2018.05.010
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: The paper investigates the practical stability of nonlinear measure differential equations. We first introduce the concepts of the practical stability and the practically asymptotic stability for measure differential equations. Then inspired by the proof method of the variational stability results in generalized ordinary differential equations, we provide the practical stability criteria for the measure system by using Lyapunov functions. Finally, as a special case, the practical stability results for discrete systems are given to illustrate our results.