Symbolic Solutions to Division by Zero Problem via Gradient Neurodynamics

Zhang, Yunong; Gong, Huihui; Li, Jian; Huang, Huanchang; Yin, Ziyu

doi:10.1007/978-3-319-70090-8_75

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2020

2023

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“…In recent years, there has been a growing interest in studying the DBZ problems 37–40 . The paper 41 overcomes the singularity included in the DBZ problem by means of the TV approach and GNNs. The DBZ control singularity problem, which appears in the nonlinear control, was explored in Ref.…”

Section: Introductionmentioning

confidence: 99%

Improved finite‐time zeroing neural network for time‐varying division

et al. 2020

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A novel complex varying‐parameter finite‐time zeroing neural network (VPFTZNN) for finding a solution to the time‐dependent division problem is introduced. A comparative study in relation to the zeroing neural network (ZNN) and finite‐time zeroing neural network (FTZNN) is established in terms of the error function and the convergence speed. The error graphs of the VPFTZNN design show promising results and perform better than corresponding ZNN and FTZNN graphs. The proposed dynamical systems are suitable tools for overcoming the division by zero difficulty, which appears in the time‐varying division. An application of the introduced VPFTZNN model in an output tracking control time‐varying linear system is demonstrated.

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Section: Introductionmentioning

confidence: 99%