Partial stability analysis of nonlinear time-varying impulsive systems

作     者：Boulbaba Ghanmi 

作者机构：Faculty of Sciences of GafsaUniversity of GafsaSidi Ahmed Zarroug 2112GafsaTunisia 

出 版 物：《International Journal of Biomathematics》 (生物数学学报（英文版）)

年 卷 期：2019年第12卷第6期

页      面：73-98页

核心收录：

学科分类：07[理学] 0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

主　　题：Nonlinear impulsive systems partial stability piecewise continuous scalar functions indefinite Lyapunov function input-to-state partial stability(ISPS) integral input-to-state partial stability(iISPS). 

摘      要：This paper investigates the stability analysis with respect to part of the variables of nonlinear time-varying systems with impulse effect.The approach presented is based on the specially introduced piecewise continuous Lyapunov functions.The Lyapunov stability theorems with respect to part of the variables are generalized in the sense that the time derivatives of the Lyapunov functions are allowed to be indefinite.With the help of the notion of stable functions,asymptotic partial stability,exponential partial stability,input-to-state partial stability(ISPS)and integral input-to-state partial stability(iISPS)are considered.Three numerical examples are provided to illustrate the effectiveness of the proposed theoretical results.