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dc.contributor.authorBonet Dalmau, Jordi
dc.contributor.authorPalà Schönwälder, Pere
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament d'Enginyeria Minera, Industrial i TIC
dc.date.accessioned2016-12-16T16:30:04Z
dc.date.available2016-12-16T16:30:04Z
dc.date.issued2000-02
dc.identifier.citationBonet-Dalmau, J., Palà-Schönwälder, P. A discrete-time approach to the steady-state and stability analysis of distributed nonlinear autonomous circuits. "IEEE transactions on circuits and systems I: regular papers", Febrer 2000, vol. 47, núm. 2, p. 231-236.
dc.identifier.issn1057-7122
dc.identifier.urihttp://hdl.handle.net/2117/98495
dc.description.abstractWe present a direct method for the steady-state and stability analysis of autonomous circuits with transmission lines and generic non- linear elements. With the discretization of the equations that describe the circuit in the time domain, we obtain a nonlinear algebraic formulation where the unknowns to determine are the samples of the variables directly in the steady state, along with the oscillation period, the main unknown in autonomous circuits.An efficient scheme to buildtheJacobian matrix with exact partial derivatives with respect to the oscillation period and with re- spect to the samples of the unknowns is described. Without any modifica- tion in the analysis method, the stability of the solution can be computed a posteriori constructing an implicit map, where the last sample is viewed as a function of the previous samples. The application of this technique to the time-delayed Chua's circuit (TDCC) allows us to investigate the stability of the periodic solutions and to locate the period-doubling bifurcations.
dc.format.extent6 p.
dc.language.isoeng
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.subjectÀrees temàtiques de la UPC::Enginyeria de la telecomunicació
dc.subject.lcshTelecommunication
dc.subject.otherAutonomous circuits
dc.subject.otherbifurcation points
dc.subject.otherdistributed
dc.subject.othernon-linear
dc.subject.othersteady-stateresponse
dc.subject.otherstabilityanalysis
dc.subject.othertime-domaindiscretization
dc.titleA discrete-time approach to the steady-state and stability analysis of distributed nonlinear autonomous circuits
dc.typeArticle
dc.subject.lemacTelecomunicació
dc.contributor.groupUniversitat Politècnica de Catalunya. CIRCUIT - Grup de Recerca en Circuits i Sistemes de Comunicació
dc.identifier.doi10.1109/81.828576
dc.description.peerreviewedPeer Reviewed
dc.relation.publisherversionhttp://ieeexplore.ieee.org.recursos.biblioteca.upc.edu/document/828576/
dc.rights.accessOpen Access
local.identifier.drac1647702
dc.description.versionPostprint (published version)
local.citation.authorBonet-Dalmau, J.; Palà-Schönwälder, P.
local.citation.publicationNameIEEE transactions on circuits and systems I: regular papers
local.citation.volume47
local.citation.number2
local.citation.startingPage231
local.citation.endingPage236


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