Impulse-dependent settling-time for finite time stabilization of uncertain impulsive static neural networks with leakage delay and distributed delays

被引:14
作者
Miaadi, Foued [1 ,2 ]
Li, Xiaodi [3 ]
机构
[1] Univ Carthage, Ctr Urbain Nord, Natl Inst Appl Sci & Technol, BP 676, Tunis 1080, Tunisia
[2] Univ Carthage, Tunisia Polytech Sch, Math Engn Lab, Khawerzmi St,BP 743, La Marsa 2078, Tunisia
[3] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Shandong, Peoples R China
关键词
Finite time stability; Settling-time; Delayed systems; Impulsive neural networks; Distributed delay; Linear matrix inequality; GLOBAL ROBUST STABILITY; ADAPTIVE-CONTROL; SYNCHRONIZATION; SYSTEMS; DESIGN; MODEL; TERM;
D O I
10.1016/j.matcom.2020.11.003
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
This paper deals with the finite-time stabilization of uncertain static neural networks (USNNs) where impulsive effects, leakage delay and infinite distributed delay are taken into account. Firstly, two types of impulses containing stabilizing impulses (SI) and destabilizing impulses(DI) are considered. Secondly, the designed settling-time relies not just on initial conditions but also on impulse time sequences. Besides, the impulse inputs can be constructed such that a finite time stable system admits a desired upper bound on the settling-time. Finally, two numerical examples with graphical illustrations are provided to demonstrate the effectiveness of our theoretical main results. (C) 2020 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.
引用
收藏
页码:259 / 276
页数:18
相关论文
共 59 条
[21]   Stability Analysis of SIR Model with Distributed Delay on Complex Networks [J].
Huang, Chuangxia ;
Cao, Jie ;
Wen, Fenghua ;
Yang, Xiaoguang .
PLOS ONE, 2016, 11 (08)
[22]   Generalized multiobjective robustness and relations to set-valued optimization [J].
Jiang, Ling ;
Cao, Jinde ;
Xiong, Lianglin .
APPLIED MATHEMATICS AND COMPUTATION, 2019, 361 :599-608
[23]  
Kandasamy U., 2018, DISCRETE CONTIN DYN
[24]  
Kartsatos A.G., 1993, Advanced ordinary differential equations
[25]  
KOYLUOGLU HU, 1995, J ENG MECH-ASCE, V121, P1149
[26]   Robust finite-time non-fragile sampled-data control for T-S fuzzy flexible spacecraft model with stochastic actuator faults [J].
Kumar, S. Vimal ;
Raja, R. ;
Anthoni, S. Marshal ;
Cao, Jinde ;
Tu, Zhengwen .
APPLIED MATHEMATICS AND COMPUTATION, 2018, 321 :483-497
[27]  
Levant A, 2013, IEEE DECIS CONTR P, P4260, DOI 10.1109/CDC.2013.6760544
[28]   Fixed-time stabilization of impulsive Cohen-Grossberg BAM neural networks [J].
Li, Hongfei ;
Li, Chuandong ;
Huang, Tingwen ;
Zhang, Wanli .
NEURAL NETWORKS, 2018, 98 :203-211
[29]   Finite-time stability and settling-time estimation of nonlinear impulsive systems [J].
Li, Xiaodi ;
Ho, Daniel W. C. ;
Cao, Jinde .
AUTOMATICA, 2019, 99 :361-368
[30]   Razumikhin-type theorems for time-delay systems with Persistent impulses [J].
Li, Xiaodi ;
Ding, Yanhui .
SYSTEMS & CONTROL LETTERS, 2017, 107 :22-27