Passivity-based boundary control for delay reaction-diffusion systems

被引：8

作者：

Wu, Kai-Ning ^{[1
]}

Zhou, Wei-Jie ^{[1
]}

Liu, Xiao-Zhen ^{[1
]}

机构：

[1] Harbin Inst Technol, Dept Math, Weihai 264209, Peoples R China

来源：

JOURNAL OF THE FRANKLIN INSTITUTE | 2022年 / 359卷 / 09期

关键词：

TIME-VARYING DELAYS; COMPLEX DYNAMICAL NETWORKS; UNCERTAIN NEURAL-NETWORKS; ROBUST PASSIVITY; SYNCHRONIZATION; STABILITY; DISCRETE;

D O I：

10.1016/j.jfranklin.2022.04.011

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Passivity-based boundary control is considered for time-varying delay reaction-diffusion systems (DRDSs) with boundary input-output. By virtue of Lyapunov functional method and inequality techniques, sufficient conditions are obtained for input strict passivity and output strict passivity of DRDSs, respectively. When the parameter uncertainties appear in DRDSs, sufficient conditions are presented to guarantee the robust passivity. Moreover, we apply our theoretical results to the synchronization problem of coupled delay reaction-diffusion systems and get the criterion to ensure the asymptotic synchronization. Finally, numerical simulations are provided to show the validity of our theoretical results. (C) 2022 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：4074 / 4096

页数：23

共 52 条

[1] Passivity-based synchronization of Markovian jump complex dynamical networks with time-varying delays, parameter uncertainties, reaction-diffusion terms, and sampled-data control [J].

Ali, M. Syed ;

Palanisamy, L. ;

Yogambigai, J. ;

Wang, Linshan .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2019, 352 :79-92

[2] Passivity-based synchronization of stochastic switched complex dynamical networks with additive time-varying delays via impulsive control [J].

Ali, M. Syed ;

Yogambigai, J. .

NEUROCOMPUTING, 2018, 273 :209-221

[3] Passivity as a design tool for group coordination [J].

Arcak, Murat .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2007, 52 (08) :1380-1390

[4] Robust passivity analysis for uncertain neural networks with leakage delay and additive time-varying delays by using general activation function [J].

Cao, Yang ;

Samidurai, R. ;

Sriraman, R. .

MATHEMATICS AND COMPUTERS IN SIMULATION, 2019, 155 :57-77

[5] Global asymptotic stability of BAM neural networks with distributed delays and reaction-diffusion terms [J].

Cui, BT ;

Lou, XY .

CHAOS SOLITONS & FRACTALS, 2006, 27 (05) :1347-1354

[6] Robust passivity analysis for uncertain neural networks with discrete and distributed time-varying delays [J].

Ge, Chao ;

Park, Ju H. ;

Hua, Changchun ;

Shi, Caijuan .

NEUROCOMPUTING, 2019, 364 :330-337

[7] Finite-time stabilization for stochastic reaction-diffusion systems with Markovian switching via boundary control [J].

Han, Xin-Xin ;

Wu, Kai-Ning ;

Ding, Xiaohua .

APPLIED MATHEMATICS AND COMPUTATION, 2020, 385 (385)

[8] STABILITY OF NONLINEAR DISSIPATIVE SYSTEMS [J].

HILL, D ;

MOYLAN, P .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1976, 21 (05) :708-711

[9] Finite-time passivity of dynamic systems [J].

Hou, Mingzhe ;

Tan, Feng ;

Duan, Gunagren .

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2016, 353 (18) :4870-4884

[10] Impulsive Control and Synchronization for Delayed Neural Networks With Reaction-Diffusion Terms [J].

Hu, Cheng ;

Jiang, Haijun ;

Teng, Zhidong .

IEEE TRANSACTIONS ON NEURAL NETWORKS, 2010, 21 (01) :67-81

← 1 2 3 4 5 6 →