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

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dc.contributor.author Loukianov, Alexander
dc.contributor.author Sánchez-Torres, Juan D.
dc.contributor.author Sánchez-Camperos, Edgar
dc.date.accessioned 2016-04-26T15:10:05Z
dc.date.available 2016-04-26T15:10:05Z
dc.date.issued 2014-12-09
dc.identifier.citation Sánchez-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.other INSPEC: 14855601
dc.identifier.uri http://hdl.handle.net/11117/3331
dc.description The 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.sponsorship Consejo Nacional de Ciencia y Tecnología es
dc.language.iso eng es
dc.publisher Institute of Electrical and Electronics Engineers es
dc.relation.ispartofseries 2014 IEEE Symposium on Swarm Intelligence (SIS);
dc.rights.uri http://quijote.biblio.iteso.mx/licencias/CC-BY-NC-2.5-MX.pdf es
dc.subject Recurrent Neural Networks es
dc.subject Linear Programming es
dc.subject Predefined-time Stability es
dc.title A discontinuous recurrent neural network with predefined time convergence for solution of linear programming es
dc.type info:eu-repo/semantics/conferencePaper es
rei.revisor 2014 IEEE Symposium on Swarm Intelligence (SIS)
rei.peerreviewed Yes es


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