A discontinuous recurrent neural network with predefined time convergence for solution of linear programming

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dc.contributor.authorLoukianov, Alexander
dc.contributor.authorSánchez-Torres, Juan D.
dc.contributor.authorSánchez-Camperos, Edgar
dc.date.accessioned2016-04-26T15:10:05Z
dc.date.available2016-04-26T15:10:05Z
dc.date.issued2014-12-09
dc.descriptionThe aim of this paper is to introduce a new recurrent neural network to solve linear programming. The main characteristic of the proposed scheme is its design based on the predefined-time stability. The predefined-time stability is a stronger form of finite-time stability which allows the a priori definition of a convergence time that does not depend on the network initial state. The network structure is based on the Karush-Kuhn-Tucker (KKT) conditions and the KKT multipliers are proposed as sliding mode control inputs. This selection yields to an one-layer recurrent neural network in which the only parameter to be tuned is the desired convergence time. With this features, the network can be easily scaled from a small to a higher dimension problem. The simulation of a simple example shows the feasibility of the current approach.es
dc.description.sponsorshipConsejo Nacional de Ciencia y Tecnologíaes
dc.identifier.citationSánchez-Torres, J.D.; Sánchez, E.N.; Loukianov, A.G., "A discontinuous recurrent neural network with predefined time convergence for solution of linear programming,"Swarm Intelligence (SIS), 2014 IEEE Symposium on, Orlando, USA, Dec. 2014, pp.1,5, 9-12.es
dc.identifier.otherINSPEC: 14855601
dc.identifier.urihttp://hdl.handle.net/11117/3331
dc.language.isoenges
dc.publisherInstitute of Electrical and Electronics Engineerses
dc.relation.ispartofseries2014 IEEE Symposium on Swarm Intelligence (SIS);
dc.rights.urihttp://quijote.biblio.iteso.mx/licencias/CC-BY-NC-2.5-MX.pdfes
dc.subjectRecurrent Neural Networkses
dc.subjectLinear Programminges
dc.subjectPredefined-time Stabilityes
dc.titleA discontinuous recurrent neural network with predefined time convergence for solution of linear programminges
dc.typeinfo:eu-repo/semantics/conferencePaperes
rei.peerreviewedYeses
rei.revisor2014 IEEE Symposium on Swarm Intelligence (SIS)

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