Journal
COMPUTATIONAL & APPLIED MATHEMATICS
Volume 41, Issue 7, Pages -Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s40314-022-02031-w
Keywords
Nonlinear zeroing neural network; New activation function; Linear matrix equation; Circuit
Categories
Funding
- National Natural Science Foundation of China [62273141, 61875054]
- Natural Science Foundation of Hunan Province [2020JJ4315, 2020JJ5199]
- Scientific Research Fund of Hunan Provincial Education Department [20B216, 20C0786, 18C0296]
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In this paper, a new nonlinear zeroing neural network (NZNN) model is proposed to enhance the convergent speed and robustness for time-varying linear matrix equation solving. The superiority of the proposed NZNN model is theoretically validated through rigorous mathematical analysis, and its practical abilities are further verified through engineering oriented applications.
Zeroing neural network has proved its powerful abilities and efficiency in solving various time-varying problems, and its convergence and robustness have been deeply studied in recent years. To further enhance its convergent speed and robustness for time-varying linear matrix equation solving, a nonlinear zeroing neural network (NZNN) with a new activation function is proposed in this paper. The superiority of the proposed NZNN model is theoretically validated through rigorous mathematical analysis. Besides, the proposed NZNN model is applied to time-varying matrix inversion solving, static and dynamic voltage electronic circuit currents computing, which further verifies its practical abilities for engineering oriented applications.
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