Novel Discretized Zeroing Neural Network Models for Time-Varying Optimization Aided With Predictor-Corrector Methods

In this article, we derive the predictor-corrector (PC) methods with three-order convergent precision, together with a class of specific general linear three-step (GLTS) rules provided. Afterward, a time-varying optimization (TVO) problem, which is deemed as a discrete TVO has been formulated and st...

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Bibliographic Details
Published in:IEEE transaction on neural networks and learning systems Vol. 36; no. 8; pp. 14037 - 14048
Main Authors: Kong, Ying, Chen, Xi, Jiang, Yunliang, Sun, Danfeng, Zhang, Jun
Format: Journal Article
Language:English
Published: United States IEEE 01.08.2025
Subjects:
General linear three-step (GLTS) rules
Geophysical measurement techniques
Ground penetrating radar
Iterative methods
Kinematics
manipulator trajectory planning
Mathematical models
Neural networks
Numerical models
Numerical stability
Optimization
Planning
predictor-corrector discrete zeroing neural network (PC-DZNN)
time-varying optimization (TVO)
ISSN:2162-237X, 2162-2388, 2162-2388
Online Access:Get full text
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Summary:In this article, we derive the predictor-corrector (PC) methods with three-order convergent precision, together with a class of specific general linear three-step (GLTS) rules provided. Afterward, a time-varying optimization (TVO) problem, which is deemed as a discrete TVO has been formulated and studied. The classical discrete zeroing neural network via Zhang et al. discretization (ZD-DZNN) is often utilized to obtain the solution. Actually, the stepsize domain of the DZNN model is a great factor for the dynamical stability. To enlarge the stepsize domain of the DZNN model, specific GLTS-type PC-DZNN models are applied to solve the TVO problem. Theoretical analyses show that better stability of the DZNN can be achieved by PC methods. Numerical simulative comparisons between the proposed PC-DZNN models and the ZD-DZNN in terms of stability are provided for further illustrations. In addition, motion planning of a PA10 manipulator and physical kinematics on UR5 formed as a TVO problem has been solved efficiently by applying the specific GLTS-type PC-DZNN models.
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ISSN:2162-237X
2162-2388
2162-2388
DOI:10.1109/TNNLS.2024.3512505