Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Neural Processing Letters
Published in: Neural Processing Letters 3/2015

01-06-2015

Exponential Generalized \(H_2\) Filtering of Delayed Static Neural Networks

Authors: He Huang, Tingwen Huang, Xiaoping Chen

Published in: Neural Processing Letters | Issue 3/2015

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

This paper is concerned with the problem of generalized \(H_2\) filter design for static neural networks with time-varying delay. A double-integral inequality and the reciprocally convex combination technique are employed to handle the cross terms appeared in the time-derivative of the Lyapunov functional. An improved delay-dependent design criterion is presented by means of linear matrix inequalities. It is shown that the gain matrix of the desired filter and the optimal performance index are simultaneously achieved by solving a convex optimization problem. Moreover, the upper bound of the exponential decay rate of the filtering error system can be also easily obtained. An example with simulation is exploited to illustrate the effectiveness of the developed result.
previous article Graph Based Semi-Supervised Learning via Structure Preserving Low-Rank Representation
next article New Results on Exponential Convergence for Cellular Neural Networks with Continuously Distributed Leakage Delays

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

inform now
Appendix
Available only for authorised users
Literature
1.
Xu ZB, Qiao H, Peng J, Zhang B (2004) A comparative study of two modeling approaches in neural networks. Neural Netw 17:73–85CrossRefMATH
2.
Du B, Lam J (2009) Stability analysis of static recurrent neural networks using delay-partitioning and projection. Neural Netw 22:343–347CrossRef
3.
Li P, Cao J (2006) Stability in static delayed neural networks: a nonlinear measure approach. Neurocomputing 69:1776–1781CrossRef
4.
Li X, Gao H, Yu X (2011) A unified approach to the stability of generalized static neural networks with linear fractional uncertainties and delays. IEEE Trans Syst Man Cybern B 41:1275–1286CrossRef
5.
Liao X, Luo Q, Zeng Z, Guo Y (2008) Global exponential stability in Lagrange sense for recurrent neural networks with time delays. Nonlinear Anal RWA 9:1535–1557CrossRefMATHMathSciNet
6.
Shao H (2010) Less conservative delay-dependent stability criteria for neural networks with time-varying delays. Neurocomputing 73:1528–1532CrossRef
7.
Wu ZG, Lam J, Su H, Chu J (2012) Stability and dissipativity analysis of static neural networks with time delay. IEEE Trans Neural Netw Learn Syst 23:199–210CrossRef
8.
Zhang XM, Han QL (2011) Global asymptotic stability for a class of generalized neural networks with interval time-varying delays. IEEE Trans Neural Netw 22:1180–1192CrossRef
9.
Zeng Z, Huang DS, Wang Z (2005) Global stability of a general class of discrete-time recurrent neural networks. Neural Process Lett 22:33–47CrossRef
10.
Ozcan N (2011) A new sufficient condition for global robust stability of delayed neural networks. Neural Process Lett 34:305–316CrossRef
11.
Faydasicok O, Arik S (2013) A new upper bound for the norm of interval matrices with application to robust stability analysis of delayed neural networks. Neural Netw 44:64–71CrossRefMATH
12.
Edwards PJ, Murray AF (1998) Fault tolerance via weight noise in analog VLSI implementations of MLPsA case study with EPSILON. IEEE Trans Circuits Syst II 45:1255C1262CrossRef
13.
Huang H, Feng G (2009) Delay-dependent \(H_\infty \) and generalized \(H_2\) filtering for delayed neural networks. IEEE Trans Circuits Syst I 56:846–857CrossRefMathSciNet
14.
Wang Z, Ho DWC, Liu X (2005) State estimation for delayed neural networks. IEEE Trans Neural Netw 16:279–284CrossRef
15.
Boyd S, EI Ghaoui L, Feron E, Balakrishnan V (1994) Linear matrix inequalities in system and control theory. SIAM, PhiladelphiaCrossRefMATH
16.
He Y, Wang QG, Wu M, Lin C (2006) Delay-dependent state estimation for delayed neural networks. IEEE Trans Neural Netw 17:1077–1081CrossRefMATH
17.
Liu X, Cao J (2010) Robust state estimation for neural networks with discontinuous activations. IEEE Trans Syst Man Cyber B 40:1425–1437CrossRefMathSciNet
18.
Li T, Fei S, Zhu Q (2009) Design of exponential state estimator for neural networks with distributed delays. Nonlinear Anal RWA 10:1229–1242CrossRefMATHMathSciNet
19.
Wang Z, Liu Y, Liu X (2009) State estimation for jumping recurrent neural networks with discrete and distributed delays. Neural Netw 22:41–48CrossRef
20.
Zhang D, Yu L, Wang QG, Ong CJ (2012) Estimator design for discrete-time switched neural networks with asynchronous switching and time-varying delay. IEEE Trans Neural Netw Learn Syst 23:827–834CrossRef
21.
Liu Y, Wang Z, Liu X (2012) State estimation for discrete-time neural networks with Markov-mode-dependent lower and upper bounds on the distributed delays. Neural Process Lett 36:1–19CrossRef
22.
Tseng KH, Tsai JSH, Lu CY (2012) Design of delay-dependent exponential estimator for T-S fuzzy neural networks with mixed time-varying interval delays using hybrid Taguchi-Genetic algorithm. Neural Process Lett 36:49–67CrossRef
23.
Huang H, Feng G, Cao J (2011) Guaranteed performance state estimation of static neural networks with time-varying delay. Neurocomputing 74:606–616CrossRef
24.
Huang H, Feng G, Cao J (2010) State estimation for static neural networks with time-varying delay. Neural Netw 23:1202–1207CrossRef
25.
Ariba Y, Gouaisbaut F (2007) Delay-dependent stability analysis of linear systems with time-varying delay, in 46th IEEE Conference on Decision and Control, New Orleans, LA, UAS, pp. 2053–2058
26.
Zhang XM, Han QL (2008) Robust \(H_\infty \) filtering for a class of uncertain linear systems with time-varying delay. Automatica 44:157–166CrossRefMATH
27.
Sun J, Liu GP, Chen J, Rees D (2010) Improved delay-range-dependent stability criteria for linear sytems with time-varying delays. Automatica 46:466–470CrossRefMATHMathSciNet
28.
Park P, Ko JW, Jeong C (2011) Reciprocally convex approach to stability of systems with time-varying delays. Automatica 47:235–238CrossRefMATHMathSciNet
Metadata
Title
Exponential Generalized Filtering of Delayed Static Neural Networks
Authors
He Huang
Tingwen Huang
Xiaoping Chen
Publication date
01-06-2015
Publisher
Springer US
Published in
Neural Processing Letters / Issue 3/2015
Print ISSN: 1370-4621
Electronic ISSN: 1573-773X
DOI
https://doi.org/10.1007/s11063-014-9347-8

Other articles of this Issue 3/2015

Neural Processing Letters 3/2015 Go to the issue

OriginalPaper

Self-organizing Map (SOM) Based Data Navigation for Identifying Shape Similarities of Graphic Logos

OriginalPaper

Statistically Adaptive Image Denoising Based on Overcomplete Topographic Sparse Coding

OriginalPaper

Estimation of Lower Limb Periodic Motions from sEMG Using Least Squares Support Vector Regression

OriginalPaper

GPU Accelerated Self-Organizing Map for High Dimensional Data

OriginalPaper

Learning Imbalanced Classifiers Locally and Globally with One-Side Probability Machine

OriginalPaper

New Results on Exponential Convergence for Cellular Neural Networks with Continuously Distributed Leakage Delays