Stabilization of Delay Systems: Delay-Dependent Impulsive Control

被引:443
作者
Li, Xiaodi [1 ]
Song, Shiji [2 ]
机构
[1] Shandong Normal Univ, Sch Math Sci, Jinan 250014, Peoples R China
[2] Tsinghua Univ, Dept Automat, Beijing 100084, Peoples R China
基金
中国国家自然科学基金;
关键词
Delay-dependent impulsive control; delay system; impulsive delay inequality; LMI; stabilization; TIME-DELAY; EXPONENTIAL STABILITY; NEURAL-NETWORKS;
D O I
10.1109/TAC.2016.2530041
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
The stabilization problem of delay systems is studied under the delay-dependent impulsive control. The main contributions of this technical note are that, for one thing, it shows that time delays in impulse term may contribute to the stabilization of delay systems, that is, a control strategy which does not work without delay feedback in impulse term can be activated to stabilize some unstable delay systems if there exist some time delay feedbacks; for another, it shows the robustness of impulsive control, that is, the designed control strategy admits the existence of some time delays in impulse term which may do harm to the stabilization. In this technical note, from impulsive control point of view we firstly propose an impulsive delay inequality. Then we apply it to the delay systems which may be originally unstable, and derive some delay-dependent impulsive control criteria to ensure the stabilization of the addressed systems. The effectiveness of the proposed strategy is evidenced by two illustrative examples.
引用
收藏
页码:406 / 411
页数:6
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