Passivity-based control for Hopfield neural networks using convex representation

被引：56

作者：

Ji, D. H. ^{[2
]}

Koo, J. H. ^{[3
]}

Won, S. C. ^{[3
]}

Lee, S. M. ^{[4
]}

Park, Ju H. ^{[1
]}

机构：

[1] Yeungnam Univ, Nonlinear Dynam Grp, Dept Elect Engn, Kyongsan 712749, South Korea

[2] Samsung Elect Co Ltd, Div Mobile Commun, Digital Media & Commun, Suwon, Gyeonggi Do, South Korea

[3] Pohang Univ Sci & Technol, Dept Elect & Elect Engn, Pohang 790784, South Korea

[4] Daegu Univ, Sch Elect Engn, Kyongsan, South Korea

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 217卷 / 13期

关键词：

Hopfield neural network; H-infinity passivity; Convex problem; LMI; TIME-VARYING DELAYS; DEPENDENT ASYMPTOTIC STABILITY; CRITERIA; SYSTEM;

D O I：

10.1016/j.amc.2010.12.100

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper considers the problem of passivity-based controller design for Hopfield neural networks. By making use of a convex representation of nonlinearities, a feedback control scheme based on passivity and Lyapunov theory is presented. A criterion for existence of the controller is given in terms of linear matrix inequality (LMI), which can be easily solved by a convex optimization problem. An example and its numerical simulation are given to show the effectiveness of the proposed method. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：6168 / 6175

页数：8

共 50 条

[21] Passivity-based Adaptive Inventory Control
Li, Keyu
Chan, Kwong Ho
Ydstie, B. Erik
PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009), 2009, : 4529 - 4534
[22] A Sensorless Passivity-based Control for PMSM
Vasquez Sanjuan, Jacob Javier
Linares Flores, Jesus
Yescas Mendoza, Edgardo
Espinosa Tlaxcaltecatl, Mario
2018 28TH INTERNATIONAL CONFERENCE ON ELECTRONICS, COMMUNICATIONS AND COMPUTERS (CONIELECOMP), 2018, : 86 - 91
[23] Stabilization of MT-HVDC grids via passivity-based control and convex optimization
Montoya, Oscar Danilo
Gil-Gonzalez, Walter
Garces, Alejandro
Serra, Federico
Hernandez, Jesus C.
ELECTRIC POWER SYSTEMS RESEARCH, 2021, 196
[24] Position control of the induction motor using a passivity-based controller
Cecati, C
CONFERENCE RECORD OF THE 1998 IEEE INDUSTRY APPLICATIONS CONFERENCE, VOLS 1-3, 1998, : 1663 - 1668
[25] A Passivity-Based Admittance Control Design using Feedback Interconnections
Kim, Min Jun
Lee, Woongyong
Ott, Christian
Chung, Wan Kyun
2016 IEEE/RSJ INTERNATIONAL CONFERENCE ON INTELLIGENT ROBOTS AND SYSTEMS (IROS 2016), 2016, : 801 - 807
[26] A passivity-based observer for neural mass models
Liu, Xian
Sun, Cheng-Xia
Gao, Qing
Chen, Zhi-Wang
IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2019, 36 (03) : 701 - 711
[27] Position control of the induction motor using a passivity-based controller
Cecati, C
IEEE TRANSACTIONS ON INDUSTRY APPLICATIONS, 2000, 36 (05) : 1277 - 1284
[28] Passivity of a class of Hopfield networks - Application to chaos control
Stoica, Adrian-Mihail
ICINCO 2008: PROCEEDINGS OF THE FIFTH INTERNATIONAL CONFERENCE ON INFORMATICS IN CONTROL, AUTOMATION AND ROBOTICS, VOL SPSMC: SIGNAL PROCESSING, SYSTEMS MODELING AND CONTROL, 2008, : 84 - 89
[29] Delay-dependent Passivity Criterion for Hopfield Neural Networks
Zhu, Jin
Leng, Qiangkui
Zhang, Qingling
2010 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-5, 2010, : 1267 - +
[30] Design and Stability of Optimal Frequency Control in Power Networks: A Passivity-based Approach
Tsumura, Koji
Baros, Stefanos
Okano, Kunihisa
Annaswamy, Anuradha M.
2018 EUROPEAN CONTROL CONFERENCE (ECC), 2018, : 2581 - 2586

← 1 2 3 4 5 →