摘要
基于复域上的李雅普诺夫函数,借用复域上的矩阵不等式,给出了复值脉冲洛伦兹系统指数稳定性判据.与现有文献的研究方法相比,直接在复域上研究复值脉冲洛伦兹系统,简化了分析和计算的复杂度.
Taking advantage of the Lyapunov function and the matrix inequalities,the exponential stability criterion of complex-valued impulsive Lorenz system was established.Compared with the current method,the analysis of complex-valued impulsive Lorenz system in complex-valued field can reduce the complexity of analysis and computation.
作者
王仲璞
方涛
WANG Zhongpua FANG Taob(a. College of Urban Rail Transportatio b. College of Fundamental Studies, Shanghai University of Engineering Science, Shanghai 201621), China)
出处
《上海工程技术大学学报》
CAS
2016年第3期238-240,共3页
Journal of Shanghai University of Engineering Science
基金
上海工程技术大学大学生创新训练资助项目(cx1621002)
上海工程技术大学内涵人才资助项目(nhrc-2015-06)
关键词
指数稳定性
复值
洛伦兹系统
脉冲系统
矩阵不等式
exponential stability
complex-valued
Lorenz system
impulsive system
matrix inequality