A systematic search method for obtaining multiple local optimal solutions of nonlinear programming problems

1 January 1996

journal article
Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Circuits and Systems I: Regular Papers

Vol. 43 (2) , 99-109
https://doi.org/10.1109/81.486432

Abstract

[[abstract]]We propose, in this paper, a systematic method to find several local optimal solutions for general nonlinear optimization problems. We have developed some analytical results for quasi-gradient systems and reflected gradient systems, applying these results to derive topological and geometric properties of the critical points of the underlying objective function. A mechanism has also been devised to escape from a local optimal solution and proceed into another local optimal solution via decomposition points. By properly switching between quasi-gradient systems and reflected gradient systems, our proposed method can attain a set of local optimal solutions. The proposed method is applied to two test examples with promising results[[fileno]]2030140030001[[department]]電機工程學

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