On the stability in probability of Markov jump systems with quadratic terms

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dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtiques
dc.contributor	Universitat Politècnica de Catalunya. CoDAlab - Control, Modelització, Identificació i Aplicacions
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.date	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.language.iso	eng
dc.relation	978-3-9524269-4-4
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	Àrees temàtiques de la UPC::Matemàtiques i estadística::Probabilitat
dc.subject	Markov processes
dc.subject	Distribution (Probability theory)
dc.subject	Jump Systems
dc.subject	Stability in probability
dc.subject	Markov, Processos de
dc.subject	Distribució (Teoria de la probabilitat)
dc.subject	Classificació AMS::60 Probability theory and stochastic processes::60J Markov processes
dc.title	On the stability in probability of Markov jump systems with quadratic terms
dc.type	info:eu-repo/semantics/publishedVersion
dc.type	info:eu-repo/semantics/conferenceObject
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.description.abstract	Peer Reviewed

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