A Novel Bounded Real Lemma for Discrete-Time Markov Jump Linear Singular Systems

Jorge C. Guerrero; Jorge R. Chavez-Fuentes; Juan E. Casavilca-Silva; Eduardo F. Costa

doi:10.1109/LCSYS.2022.3144278

A Novel Bounded Real Lemma for Discrete-Time Markov Jump Linear Singular Systems

Jorge C. Guerrero, Jorge R. Chavez-Fuentes, Juan E. Casavilca-Silva, Eduardo F. Costa

Sección de Matemáticas

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

This letter presents a bounded real lemma for discrete-time Markov jump linear singular systems (MJLSS). We show that a proper Linear Matrix Inequality (LMI) is sufficient for this class of systems to be bounded.

Original language	English
Pages (from-to)	2281-2286
Number of pages	6
Journal	IEEE Control Systems Letters
Volume	6
DOIs	https://doi.org/10.1109/LCSYS.2022.3144278
State	Published - 2022

Keywords

LMIs
Markov processes
Stochastic systems

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10.1109/LCSYS.2022.3144278

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title = "A Novel Bounded Real Lemma for Discrete-Time Markov Jump Linear Singular Systems",

abstract = "This letter presents a bounded real lemma for discrete-time Markov jump linear singular systems (MJLSS). We show that a proper Linear Matrix Inequality (LMI) is sufficient for this class of systems to be bounded.",

keywords = "LMIs, Markov processes, Stochastic systems",

author = "Guerrero, {Jorge C.} and Chavez-Fuentes, {Jorge R.} and Casavilca-Silva, {Juan E.} and Costa, {Eduardo F.}",

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year = "2022",

doi = "10.1109/LCSYS.2022.3144278",

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AU - Guerrero, Jorge C.

AU - Chavez-Fuentes, Jorge R.

AU - Casavilca-Silva, Juan E.

AU - Costa, Eduardo F.

PY - 2022

Y1 - 2022

N2 - This letter presents a bounded real lemma for discrete-time Markov jump linear singular systems (MJLSS). We show that a proper Linear Matrix Inequality (LMI) is sufficient for this class of systems to be bounded.

AB - This letter presents a bounded real lemma for discrete-time Markov jump linear singular systems (MJLSS). We show that a proper Linear Matrix Inequality (LMI) is sufficient for this class of systems to be bounded.

KW - LMIs

KW - Markov processes

KW - Stochastic systems

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U2 - 10.1109/LCSYS.2022.3144278

DO - 10.1109/LCSYS.2022.3144278

M3 - Article

AN - SCOPUS:85123377553

SN - 2475-1456

VL - 6

SP - 2281

EP - 2286

JO - IEEE Control Systems Letters

JF - IEEE Control Systems Letters

ER -

A Novel Bounded Real Lemma for Discrete-Time Markov Jump Linear Singular Systems

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Keywords

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