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On the stability in probability of Markov jump systems with quadratic terms
dc.contributor.author | Vargas, Alessandro N. |
dc.contributor.author | Pujol Vázquez, Gisela |
dc.contributor.author | Acho Zuppa, Leonardo |
dc.contributor.author | do Val, Joao B.R. |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
dc.date.accessioned | 2015-12-09T16:39:41Z |
dc.date.issued | 2015 |
dc.identifier.citation | Vargas, A.N., Pujol, G., Acho, L., do Val, J. On the stability in probability of Markov jump systems with quadratic terms. A: European Control Conference. "ECC'15". Linz: 2015, p. 770-775. |
dc.identifier.uri | http://hdl.handle.net/2117/80342 |
dc.description.abstract | The note presents conditions to assure the stability in probability for a class of continuoustime quadratic Markov jump systems. From the viewpoint of the state-space evolution, the system has two parts: (i) a linear term, in which the matrix parameter jumps according to a Markov chain, and (ii) a quadratic term with no jumps. The stability in probability for the quadratic Markov jump system is then assured under mild conditions. A numerical example illustrates the usefulness of the derived results. |
dc.description.abstract | The note presents conditions to assure the stability in probability for a class of continuoustime quadratic Markov jump systems. From the viewpoint of the state-space evolution, the system has two parts: (i) a linear term, in which the matrix parameter jumps according to a Markov chain, and (ii) a quadratic term with no jumps. The stability in probability for the quadratic Markov jump system is then assured under mild conditions. A numerical example illustrates the usefulness of the derived results. |
dc.format.extent | 6 p. |
dc.language.iso | eng |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Probabilitat |
dc.subject.lcsh | Markov processes |
dc.subject.lcsh | Distribution (Probability theory) |
dc.subject.other | Jump Systems |
dc.subject.other | Stability in probability |
dc.title | On the stability in probability of Markov jump systems with quadratic terms |
dc.type | Conference lecture |
dc.subject.lemac | Markov, Processos de |
dc.subject.lemac | Distribució (Teoria de la probabilitat) |
dc.contributor.group | Universitat Politècnica de Catalunya. CoDAlab - Control, Modelització, Identificació i Aplicacions |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::60 Probability theory and stochastic processes::60J Markov processes |
dc.relation.publisherversion | 978-3-9524269-4-4 |
dc.rights.access | Restricted access - publisher's policy |
local.identifier.drac | 16677372 |
dc.description.version | Postprint (published version) |
dc.date.lift | 10000-01-01 |
local.citation.author | Vargas, A.N.; Pujol, G.; Acho, L.; do Val, J. |
local.citation.contributor | European Control Conference |
local.citation.pubplace | Linz |
local.citation.publicationName | ECC'15 |
local.citation.startingPage | 770 |
local.citation.endingPage | 775 |