Different Zhang functions leading to different Zhang-dynamics models illustrated via time-varying reciprocal solving |
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Authors: | Yunong Zhang Fen LiYiwen Yang Zhan Li |
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Affiliation: | School of Information Science and Technology, Sun Yat-sen University, Guangzhou 510006, PR China |
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Abstract: | Along with neural dynamics (based on analog solvers) widely arising in scientific computation and optimization fields in recent decades which attracts extensive interest and investigation of researchers, a novel type of neural dynamics, called Zhang dynamics (ZD), has been formally proposed by Zhang et al. for the online solution of time-varying problems. By following Zhang et al.’s neural-dynamics design method, the ZD model, which is based on an indefinite Zhang function (ZF), can guarantee the exponential convergence performance for the online time-varying problems solving. In this paper, different indefinite Zhang functions, which can lead to different ZD models, are proposed and developed as the error-monitoring functions for the time-varying reciprocal problem solving. Additionally, for the goal of developing the floating-point processors or coprocessors for the future generation of computers, the MATLAB Simulink modeling and simulative verifications of such different ZD models are further presented for online time-varying reciprocal solving. The modeling results substantiate the efficacy of such different ZD models for time-varying reciprocal solving. |
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Keywords: | Zhang functions (ZFs) Zhang dynamics (ZD) models Exponential convergence Time-varying reciprocal solving MATLAB Simulink modeling |
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