Neural Network Approach for Nonlinear Complementarity Problem and Quadratic Programming with Second-Order Cone Constraints

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dc.contributor陳界山zh_TW
dc.contributorChen, Jein-Shanen_US
dc.contributor.author吳孝仁zh_TW
dc.contributor.authorWu, Xiao-Renen_US
dc.date.accessioned2019-09-05T01:07:12Z
dc.date.available2017-08-01
dc.date.available2019-09-05T01:07:12Z
dc.date.issued2017
dc.description.abstract無中文摘要zh_TW
dc.description.abstractThis dissertation focuses on two types of optimization problems, nonlinear complementarity problem (NCP for short) and quadratic programming with second-order cone constraints (SOCQP for short). Based on NCP-function and SOC-complementarity function, we propose suitable neural networks for each of them, respectively. For the NCP-function, we propose new one which is the generalization of natural residual function for NCP. It is a discrete generalization of natural residual function phinr, denoted as phinrp. Besides being a NCP-function, we also show its twice dierentiability and present the geometric view. In addition, we utilize neural network approach to solving nonlinear complementarity problems and quadratic programming problems with second-order cone constraints. By building neural networks based on dierent families of smooth NCP or SOCCP-functions. Our goal is to study the stability of the equilibrium with respect to dierent neural network models. Asymptotical stability are built in most neural network models. Under suitable conditions, we show the equilibrium being exponentially stable. Finally, the simulation results are reported to demonstrate the effectiveness of the proposed neural network.en_US
dc.description.sponsorship數學系zh_TW
dc.identifierG0899400013
dc.identifier.urihttp://etds.lib.ntnu.edu.tw/cgi-bin/gs32/gsweb.cgi?o=dstdcdr&s=id=%22G0899400013%22.&%22.id.&
dc.identifier.urihttp://rportal.lib.ntnu.edu.tw:80/handle/20.500.12235/101603
dc.language英文
dc.subjectNonlinear Complementarity Problemzh_TW
dc.subjectSecond-Order Conezh_TW
dc.subjectNeural Networkzh_TW
dc.subjectNonlinear Complementarity Problemen_US
dc.subjectSecond-Order Coneen_US
dc.subjectNeural Networken_US
dc.titleNeural Network Approach for Nonlinear Complementarity Problem and Quadratic Programming with Second-Order Cone Constraintszh_TW
dc.titleNeural Network Approach for Nonlinear Complementarity Problem and Quadratic Programming with Second-Order Cone Constraintsen_US

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