TY - GEN
T1 - Stability Analysis of Linear Continuous-Time Delay-Difference Systems with Three Delays
AU - Li, Zhao Yan
AU - Fan, Qiuqiu
AU - Li, Longsuo
AU - Wang, Yibo
N1 - Publisher Copyright:
© 2019 IEEE.
PY - 2019/6
Y1 - 2019/6
N2 - This paper is concerned with the stability analysis of linear continuous-time delay-difference systems with three delays. Firstly, a new method for testing the L2-exponential stability of the considered system is proposed, which is easier to use than the one in the existing literature. In view of the conservatism and the complexity of the obtained stability conditions in the existing literature, a complete Lyapunov-Krasovskii functional (LKF) is constructed by analyzing the relationship among the three delays. Sufficient conditions for both L2-exponential stability and exponential stability are then derived based on the constructed LKFs, which are delay-independent. A numerical example is provided to demonstrate the effectiveness and less conservativeness of the proposed method.
AB - This paper is concerned with the stability analysis of linear continuous-time delay-difference systems with three delays. Firstly, a new method for testing the L2-exponential stability of the considered system is proposed, which is easier to use than the one in the existing literature. In view of the conservatism and the complexity of the obtained stability conditions in the existing literature, a complete Lyapunov-Krasovskii functional (LKF) is constructed by analyzing the relationship among the three delays. Sufficient conditions for both L2-exponential stability and exponential stability are then derived based on the constructed LKFs, which are delay-independent. A numerical example is provided to demonstrate the effectiveness and less conservativeness of the proposed method.
KW - Exponential stability
KW - Linear delay-difference equations
KW - Lyapunov-Krasovskii functional
UR - https://www.scopus.com/pages/publications/85073104576
U2 - 10.1109/CCDC.2019.8832710
DO - 10.1109/CCDC.2019.8832710
M3 - 会议稿件
AN - SCOPUS:85073104576
T3 - Proceedings of the 31st Chinese Control and Decision Conference, CCDC 2019
SP - 166
EP - 169
BT - Proceedings of the 31st Chinese Control and Decision Conference, CCDC 2019
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 31st Chinese Control and Decision Conference, CCDC 2019
Y2 - 3 June 2019 through 5 June 2019
ER -