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 Computing and Applications
Published in: Neural Computing and Applications 1/2013

01-01-2013 | Original Article

Superior robustness of power-sum activation functions in Zhang neural networks for time-varying quadratic programs perturbed with large implementation errors

Authors: Yiwen Yang, Yunong Zhang

Published in: Neural Computing and Applications | Issue 1/2013

Log in

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

search-config
loading …

Abstract

A special class of recurrent neural network termed Zhang neural network (ZNN) depicted in the implicit dynamics has recently been introduced for online solution of time-varying convex quadratic programming (QP) problems. Global exponential convergence of such a ZNN model is achieved theoretically in an error-free situation. This paper investigates the performance analysis of the perturbed ZNN model using a special type of activation functions (namely, power-sum activation functions) when solving the time-varying QP problems. Robustness analysis and simulation results demonstrate the superior characteristics of using power-sum activation functions in the context of large ZNN-implementation errors, compared with the case of using linear activation functions. Furthermore, the application to inverse kinematic control of a redundant robot arm also verifies the feasibility and effectiveness of the ZNN model for time-varying QP problems solving.
previous article A neural-based concurrency control algorithm for database systems
next article Research of assembling optimized classification algorithm by neural network based on Ordinary Least Squares (OLS)

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

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+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
Literature
1.
Boyd S, Vandenberghe L (2004) Convex optimization. Cambridge University Press, New YorkMATH
2.
3.
Johansen TA, Fossen TI, Berge SP (2004) Constrained nonlinear control allocation with singularity avoidance using sequential quadratic programming. IEEE Trans Control Syst Technol 12:211–216CrossRef
4.
5.
Grudinin N (1998) Reactive power optimization using successive quadratic programming method. IEEE Trans Power Syst 13:1219–1225CrossRef
6.
Wang J, Zhang Y (2004) Recurrent neural networks for real-time computation of inverse kinematics of redundant manipulators. Machine intelligence quo vadis? World Scientific, Singapore
7.
Zhang Y, Tan Z, Chen K, Yang Z, Lv X (2009) Repetitive motion of redundant robots planned by three kinds of recurrent neural networks and illustrated with a four-link planar manipulator’s straight-line example. Rob Auton Syst 57:645–651CrossRef
8.
Zhang Y, Ma W, Li X, Tan H, Chen K (2009) MATLAB Simulink modeling and simulation of LVI-based primal-dual neural network for solving linear and quadratic programs. Neurocomputing 72:1679–1687CrossRef
9.
Leithead WE, Zhang Y (2007) O(N 2)-operation approximation of covariance matrix inverse in Gaussian process regression based on quasi-Newton BFGS method. Commun Stat Simul Comput 36:367–380MathSciNetMATHCrossRef
10.
Leibfritz F, Sachs EW (1999) Inexact SQP interior point methods and large scale optimal control problems. SIAM J Control Optim 38:272–293MathSciNetMATHCrossRef
11.
12.
13.
Hu J, Wu Z, McCann H, Davis LE, Xie C (2005) Sequential quadratic programming method for solution of electromagnetic inverse problems. IEEE Trans Antennas Propag 53:2680–2687MathSciNetCrossRef
14.
15.
16.
Benson M, Carrasco RA (2001) Application of a recurrent neural network to space diversity in SDMA and CDMA mobile communication systems. Neural Comput Appl 10:136–147MATHCrossRef
17.
Suemitsu Y, Nara S (2003) A note on time delayed effect in a recurrent neural network model. Neural Comput Appl 11:137–143MATHCrossRef
18.
Zhang Y, Ma W, Cai B (2009) From Zhang neural network to Newton iteration for matrix inversion. IEEE Trans Circuits Syst I 56(7):1405–1415MathSciNetCrossRef
19.
Zhang Y, Ge SS (2005) Design and analysis of a general recurrent neural network model for time-varying matrix inversion. IEEE Trans Neural Netw 16(6):1477–1490CrossRef
20.
Zhang Y, Jiang D, Wang J (2002) A recurrent neural network for solving Sylvester equation with time-varying coefficients. IEEE Trans Neural Netw 13(5):1053–1063CrossRef
21.
Li Z, Zhang Y (2010) Improved Zhang neural network model and its solution of time-varying generalized linear matrix equations. Expert Syst Appl 37((10):7213–7218CrossRef
22.
Zhang Y, Li Z (2009) Zhang neural network for online solution of time-varying convex quadratic program subject to time-varying linear-equality constraints. Phys Lett A 373:1639–1643MATHCrossRef
23.
Myung H, Kim J (1997) Time-varying two-phase optimization and its application to neural-network learning. IEEE Trans Neural Netw 8:1293–1300CrossRef
24.
Metadata
Title
Superior robustness of power-sum activation functions in Zhang neural networks for time-varying quadratic programs perturbed with large implementation errors
Authors
Yiwen Yang
Yunong Zhang
Publication date
01-01-2013
Publisher
Springer-Verlag
Published in
Neural Computing and Applications / Issue 1/2013
Print ISSN: 0941-0643
Electronic ISSN: 1433-3058
DOI
https://doi.org/10.1007/s00521-011-0692-5

Other articles of this Issue 1/2013

Neural Computing and Applications 1/2013 Go to the issue

Original Article

A neural-based concurrency control algorithm for database systems

Cont. Dev. of Neural Compt. & Appln.

A support vector machine based MSM model for financial short-term volatility forecasting

Cont. Dev. of Neural Compt. & Appln.

Time series forecasting by evolving artificial neural networks with genetic algorithms, differential evolution and estimation of distribution algorithm

Original Article

Guaranteed cost synchronous control of time-varying delay cellular neural networks

Cont. Dev. of Neural Compt. & Appln.

Artificial neural networks applied to fetal monitoring in labour

Cont. Dev. of Neural Compt. & Appln.

A novel weight pruning method for MLP classifiers based on the MAXCORE principle

Premium Partner

    Image Credits