Fixed-time stabilization for impulsive neural networks

被引:0
作者
Nowakowski, Andrzej [1 ]
Matusik, Radoslaw [1 ]
Michalak, Anna [2 ]
机构
[1] Univ Lodz, Fac Math & Comp Sci, Lodz, Poland
[2] Univ Lodz, Fac Econ & Sociol, Lodz, Poland
来源
2023 INTERNATIONAL JOINT CONFERENCE ON NEURAL NETWORKS, IJCNN | 2023年
关键词
fixed-time; synchronization; impulses; neural network; control theory; dynamic programming; FINITE-TIME; STABILITY; SYNCHRONIZATION;
D O I
10.1109/IJCNN54540.2023.10191195
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
This paper presents finite-time and fixed-time stabilization for impulsive neural networks, for which a kind of optimal control problem was investigated. A new method based on dual dynamic programming was applied. A verification theorem for finite-time and fixed-time stability was proved. Additionally, numerical algorithms were presented, which demonstrate that impulses are necessary for achieving finite-time stability in neural networks.
引用
收藏
页数:8
相关论文
共 22 条
[1]   Finite-time synchronization for fuzzy cellular neural networks withtime-varying delays [J].
Abdurahman, Abdujelil ;
Jiang, Haijun ;
Teng, Zhidong .
FUZZY SETS AND SYSTEMS, 2016, 297 :96-111
[2]   Finite-time control of discrete-time linear systems [J].
Amato, F ;
Ariola, M .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (05) :724-729
[3]   Necessary and sufficient conditions for finite-time stability of impulsive dynamical linear systems [J].
Amato, F. ;
De Tommasi, G. ;
Pironti, A. .
AUTOMATICA, 2013, 49 (08) :2546-2550
[4]   Finite-time stability of continuous autonomous systems [J].
Bhat, SP ;
Bernstein, DS .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2000, 38 (03) :751-766
[5]  
Haddad W. M., 2022, IEEE T AUTOMATIC CON
[6]   Finite-time stability of discrete autonomous systems [J].
Haddad, Wassim M. ;
Lee, Junsoo .
AUTOMATICA, 2020, 122
[7]   Fixed-time control of delayed neural networks with impulsive perturbations [J].
Hu, Jingting ;
Sui, Guixia ;
Lv, Xiaoxiao ;
Li, Xiaodi .
NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2018, 23 (06) :904-920
[8]   Finite-time and fixed-time synchronization of discontinuous complex networks: A unified control framework design [J].
Ji, Gaojian ;
Hu, Cheng ;
Yu, Juan ;
Jiang, Haijun .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2018, 355 (11) :4665-4685
[9]  
Lakshmikantham V., 1989, Theory of impulsive differential equations, DOI DOI 10.1142/0906
[10]   Fixed-time stability and stabilization of impulsive dynamical systems [J].
Li, Hongfei ;
Li, Chuandong ;
Huang, Tingwen ;
Ouyang, Deqiang .
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2017, 354 (18) :8626-8644