控制理论(社会学)
数学
控制(管理)
理论(学习稳定性)
李雅普诺夫函数
非线性控制
作者
Xiaodi Li,Jinde Cao,Daniel W. C. Ho
出处
期刊:IEEE Transactions on Systems, Man, and Cybernetics
[Institute of Electrical and Electronics Engineers]
日期:2020-06-01
卷期号:50 (6): 2661-2673
被引量:29
标识
DOI:10.1109/tcyb.2019.2896340
摘要
Impulsive control of nonlinear delay systems is studied in this paper, where the time delays addressed may be the constant delay, bounded time-varying delay, or unbounded time-varying delay. Based on the impulsive control theory and some analysis techniques, a new theoretical result for global exponential stability is derived from the impulsive control point of view. The significance of the presented result is that the stability can be achieved via the impulsive control at certain impulse points despite the existence of impulsive perturbations which causes negative effect to the control. That is, the impulsive control provides a super performance to allow the existence of impulsive perturbations. In addition, we apply the theoretical result to the problem of impulsive control of delayed neural networks. Some results for global exponential stability and synchronization control of neural networks with time delays are derived via impulsive control. Three illustrated examples are given to show the effectiveness and distinctiveness of the proposed impulsive control schemes.
科研通智能强力驱动
Strongly Powered by AbleSci AI