Zhang neural network versus gradient neural network for online time-varying quadratic function minimization

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 5227 LNAI, Issue , 2008, Pages 807-814

  Zhang, Yunong ^a   Li, Zhan ^a   Yi, Chenfu ^a   Chen, Ke ^a  

^a SUN YAT SEN UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ARTIFICIAL INTELLIGENCE; GRADIENT METHODS; IMAGE CLASSIFICATION; LINEAR EQUATIONS; QUADRATIC PROGRAMMING; TELECOMMUNICATION NETWORKS; TIME VARYING NETWORKS; TIME VARYING SYSTEMS; VEGETATION; ZINC COMPOUNDS;

GRADIENT-BASED; INTELLIGENT COMPUTING; INTERNATIONAL CONFERENCES; LINEAR TIME-VARYING; ONLINE TIME; QUADRATIC FUNCTIONS; SIMULATION RESULTS; TIME-VARYING; VECTOR EQUATIONS;

NEURAL NETWORKS;

EID: 53049083186     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-85984-0_97     Document Type: Conference Paper

References (14)

1. 2)-Operation Approximation of Covariance Matrix Inverse in Gaussian Process Regression Based on Quasi-Netwon BFGS Method. Communications in Statistics - Simulation and Computation 36, 367-380 (2007)
2. Tsiotras, P., Corless, M., Rotea, M.: Optimal Control of Rigid Body Angular Velocity with Quadratic Cost. Journal of Optimization Theory and Applications 96, 507-532 (1998)
3. Zhang, Y.: Towards Piece wise-Linear Primal Neural Networks for Optimization and Redundant Robotics. In: Proceedings of IEEE International Conference on Networking, Sensing and Control, pp. 374-379. IEEE Press, Ft. Lauderdale (2006)
4. Davey, K., Ward, M.J.: A Successive Preconditioned Conjugate Gradient Method for the Minimization of Quadratic and Nonlinear Functions. Applied Numerical Mathematics 35, 129-156 (2000)
5. 2) Active Set Algorithm for Solving Two Related Box: Constrained Parametric Quadratic Programs. Numerical Algorithms 27, 367-375 (2001)
6. 2) Operations and O(N)-Level Storage. In: Proceedings of the 44th IEEE Conference on Decision and Control, pp. 3711-3716. IEEE Press, Sevilla (2005)
7. Zhang, Y., Wang, J., Xia, Y.: A Dual Neural Network for Redundancy Resolution of Kinematically Redundant Manipulators Subject to Joint Limits and Joint Velocity Limits. IEEE Transactions on Neural Networks 14, 658 667 (2003)
8. Mead, C.: Analog VLSI and Neural Systems. Addison-Wesley, Reading (1989)
9. Manhera, R.K., Jordan, B.W., Hakimi, S.L.: Analog Methods for Computation of the Generalized Inverse. IEEE Transactions on Automatic Control 13, 582-585 (1968)
10. Sturges Jr., R.H.: Analog Matrix Inversion (Robot Kinematics). IEEE Journal of Robotics and Automation 4, 157-162 (1988)
11. Zhang, Y., Chen, K.: Global Exponential Convergence and Stability of Wang Neural Network for Solving Online Linear Equations. Electronics Letters 44, 145-146 (2008)
12. Zhang, Y., Jiang, D., Wang, J.: A Recurrent Neural Network for Solving Sylvester Equation with Time-Varying Coefficients. IEEE Transactions on Neural Networks 13, 1053-1063 (2002)
13. Zhang, Y., Ge, S.S.: Design and Analysis of a General Recurrent Neural Network Model for Time-Varying Matrix Inversion. IEEE Transactions on Neural Networks 16, 1477-1490 (2005)
14. Zhang, Y.: Revisit the Analog Computer and Gradient-Based Neural System for Matrix Inversion. In: Proceedings of IEEE International Symposium on Intelligent Control, pp. 1411-1416. IEEE Press, Limassol (2005)