A NEURAL-BASED NONLINEAR L1 OPTIMIZATION ALGORITHM FOR DIAGNOSIS OF NETWORKS

He Yigang; Luo Xianjue; Qiu Guanyuan

Volume 19 Issue 3

May 1997

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Article Navigation > Journal of Electronics & Information Technology > 1997 > 19(3): 350-355

He Yigang, Luo Xianjue, Qiu Guanyuan. A NEURAL-BASED NONLINEAR L1 OPTIMIZATION ALGORITHM FOR DIAGNOSIS OF NETWORKS[J]. Journal of Electronics & Information Technology, 1997, 19(3): 350-355.

Citation:

He Yigang, Luo Xianjue, Qiu Guanyuan. A NEURAL-BASED NONLINEAR L1 OPTIMIZATION ALGORITHM FOR DIAGNOSIS OF NETWORKS[J]. Journal of Electronics & Information Technology, 1997, 19(3): 350-355.

He Yigang, Luo Xianjue, Qiu Guanyuan. A NEURAL-BASED NONLINEAR L1 OPTIMIZATION ALGORITHM FOR DIAGNOSIS OF NETWORKS[J]. Journal of Electronics & Information Technology, 1997, 19(3): 350-355.

Citation:

He Yigang, Luo Xianjue, Qiu Guanyuan. A NEURAL-BASED NONLINEAR L1 OPTIMIZATION ALGORITHM FOR DIAGNOSIS OF NETWORKS[J]. Journal of Electronics & Information Technology, 1997, 19(3): 350-355.

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A NEURAL-BASED NONLINEAR L1 OPTIMIZATION ALGORITHM FOR DIAGNOSIS OF NETWORKS

Received Date: 1995-06-30
Rev Recd Date: 1995-12-11
Publish Date: 1997-05-19

Abstract

Abstract

Based on exact penalty function, a new neural-networks for solving the L1-norm optimization problem is proposed. In comparison with Kennedy and Chua s networks(1988), it has better properties. Based on Bandler s fault location method(1982), a new nonlinearly constrained L1 norm problem is developed. It can be solved with less computing time through only one optimization processing. The proposed neural networks can be used to solve the analog diagnosis L1 problem. The validity of the neural networks and the fault location L1 method are illustrated by extensive computer simulations.

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References(1)

References

Bandler J W, et al. A linear programming approach to fault location in analog circuits. Proc. IEEE Int. Symp. CAS Chicago, IL: 1981, 256-261.[2]Bandler J W, et al. Fault isolation in linear analog circuits using the L1 norm. Proc. IEEE Int. Symp. CAS, Rome, Italy: 1982, 1140-1143.[3]Cichocki A, Unbehauen R. Neural networks for optimization and signal processing. John wiley, 1993, Chaps. 5, 7.[4]Pietrzykowski T. An exact potential method for constrained maxima. SIAM J. Num. Anal. 1969, 6(2): 299-304.[5]Kennedy M P, Chua L O. Neural networks for nonlinear programming. IEEE Trans. on CAS, 1988, 35(5): 554-562.[6]Charalambous C. On condition for optimality of the nonlinear L1 problem. SIAM J. Num. Anal. 1979,17(1): 123-135.

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