摘要
对于具有时变时滞的Lur’e系统的主从同步问题,通过构造一个新的增广李雅普诺夫-克拉索夫斯基泛函(Lyapunov-Krasovskii functional,LKF),结合新的自由矩阵积分不等式、时滞分割技术对该泛函的导数项进行处理,得到使该系统达到同步的新的充分性条件.最后,将所得结论应用到经典的蔡氏电路分2种情况进行分析仿真,验证所得结果的有效性和优越性.
This paper investigates the master-slave synchronization problem of Lur’e systems with time-varying delay by using feedback control. With the help of a new augmented Lyapunov-Krasovskii functional(LKF),it uses the effective free-based-matrix integral inequality and the time-delay partition method to process the relevant derivative terms,and obtains some new sufficient conditions which make the related systems synchronized. Then the validity and superiority of the proposed results are illustrated by the classic Chua’s circuit in two cases.
作者
吴叶繁
熊良林
柳莹莹
王珍
WU Ye-fan;XIONG Liang-lin;LIU Ying-ying;WANG Zhen(School of Mathematics and Computer Science,Yunnan Minzu University,Kunming 650500,China)
出处
《云南民族大学学报（自然科学版）》
CAS
2020年第3期217-224,共8页
Journal of Yunnan Minzu University:Natural Sciences Edition
基金
国家自然科学基金(11601474).
关键词
Lur’e系统
主从同步
时变时滞
增广李雅普诺夫泛函
自由矩阵不等式
Lur’e system
master-slave synchronization
time-varying delay
augmented Lyapunov functional
free-based-matrix inequality
