非线性脉冲系统的渐近稳定性条件  

Asymptotic stability condition of nonlinear impulsive systems

作　　者：倪郁东[1] 刘伟[1] 倪汗青 彭振宇[1] 

机构地区：[1]合肥工业大学数学学院,安徽合肥230009 [2]合肥工业大学电气与自动化工程学院,安徽合肥230009

出　　处：《合肥工业大学学报（自然科学版）》2017年第4期567-571,共5页Journal of Hefei University of Technology：Natural Science

基　　金：国家自然科学基金资助项目(71571076)

摘　　要：文章研究脉冲量和微分系统均为非线性形式的脉冲系统的渐近稳定性。该文通过建立脉冲系统的比较系统并分析其稳定性的方法,针对具有有限范数的非线性微分系统,给出了该类系统在具有有限范数的非线性脉冲作用下渐近稳定的充分条件,并通过数值模拟验证了所述方法的有效性。This paper studies the asymptotic stability of the impulsive control system in which the impulsive increments and differential system are in nonlinear form. For the nonlinear differential system with limited norm, by establishing the comparison system of impulsive control system, the asymptotic stability sufficient conditions of the impulsive control system are developed under the control of non- linear impulsive increments. The effectiveness of the described methods is verified by numerical simulation.

关 键 词：非线性 脉冲系统 渐近稳定性 脉冲量 比较系统 

分 类 号：O231.2[理学—运筹学与控制论]