TY - GEN
T1 - Recurrent neural network for complex-variable pseudoconvex optimization with equality constraints
AU - Wen, Xingnan
AU - Han, Wen
AU - Qin, Sitian
N1 - Publisher Copyright:
© 2018 IEEE.
PY - 2018/6/8
Y1 - 2018/6/8
N2 - In this paper, for solving a complex-variable pseudoconvex optimization with equality constraints, a one-layer recurrent neural network is proposed. From any initial point, the state of the presented neural network is proved to converge exponentially to the feasible region of the pseudoconvex optimization problem. When the initial point belongs to the feasible region, the state solution will converge to an optimal solution of the complex-variable pseudoconvex optimization ultimately. Compared with known neural networks for complex-variable pseudoconvex optimization, the model of the proposed neural network is less complex. Finally, numerical examples are provided to substantiate the feasibility of the proposed neural network.
AB - In this paper, for solving a complex-variable pseudoconvex optimization with equality constraints, a one-layer recurrent neural network is proposed. From any initial point, the state of the presented neural network is proved to converge exponentially to the feasible region of the pseudoconvex optimization problem. When the initial point belongs to the feasible region, the state solution will converge to an optimal solution of the complex-variable pseudoconvex optimization ultimately. Compared with known neural networks for complex-variable pseudoconvex optimization, the model of the proposed neural network is less complex. Finally, numerical examples are provided to substantiate the feasibility of the proposed neural network.
KW - Complex-variable pseudoconvex optimization
KW - Exponential convergence
KW - One-layer neural networks
UR - https://www.scopus.com/pages/publications/85049800522
U2 - 10.1109/ICACI.2018.8377483
DO - 10.1109/ICACI.2018.8377483
M3 - 会议稿件
AN - SCOPUS:85049800522
T3 - Proceedings - 2018 10th International Conference on Advanced Computational Intelligence, ICACI 2018
SP - 352
EP - 357
BT - Proceedings - 2018 10th International Conference on Advanced Computational Intelligence, ICACI 2018
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 10th International Conference on Advanced Computational Intelligence, ICACI 2018
Y2 - 29 March 2018 through 31 March 2018
ER -