Stability analysis of markovian jump systems with multiple delay components and polytopic uncertainties

Qing Wang; Baozhu Du; James Lam; Michael Z.Q. Chen

doi:10.1007/s00034-011-9282-0

Stability analysis of markovian jump systems with multiple delay components and polytopic uncertainties

Qing Wang, Baozhu Du, James Lam, Michael Z.Q. Chen

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

6 Citations (Scopus)

Abstract

This paper investigates the stability problem of Markovian jump systems with multiple delay components and polytopic uncertainties. A new Lyapunov-Krasovskii functional is used for the stability analysis of Markovian jump systems with or without polytopic uncertainties. Two numerical examples are provided to demonstrate the applicability of the proposed approach.

Original language	English
Pages (from-to)	143-162
Number of pages	20
Journal	Circuits, Systems, and Signal Processing
Volume	31
Issue number	1
DOIs	https://doi.org/10.1007/s00034-011-9282-0
Publication status	Published - Feb 2012
Externally published	Yes

Keywords

Delay
Markovian jump system
Polytopic uncertainty
Stability

ASJC Scopus subject areas

Signal Processing
Applied Mathematics

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10.1007/s00034-011-9282-0

Cite this

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title = "Stability analysis of markovian jump systems with multiple delay components and polytopic uncertainties",

abstract = "This paper investigates the stability problem of Markovian jump systems with multiple delay components and polytopic uncertainties. A new Lyapunov-Krasovskii functional is used for the stability analysis of Markovian jump systems with or without polytopic uncertainties. Two numerical examples are provided to demonstrate the applicability of the proposed approach.",

keywords = "Delay, Markovian jump system, Polytopic uncertainty, Stability",

author = "Qing Wang and Baozhu Du and James Lam and Chen, \{Michael Z.Q.\}",

year = "2012",

month = feb,

doi = "10.1007/s00034-011-9282-0",

language = "English",

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AU - Wang, Qing

AU - Du, Baozhu

AU - Lam, James

AU - Chen, Michael Z.Q.

PY - 2012/2

Y1 - 2012/2

N2 - This paper investigates the stability problem of Markovian jump systems with multiple delay components and polytopic uncertainties. A new Lyapunov-Krasovskii functional is used for the stability analysis of Markovian jump systems with or without polytopic uncertainties. Two numerical examples are provided to demonstrate the applicability of the proposed approach.

AB - This paper investigates the stability problem of Markovian jump systems with multiple delay components and polytopic uncertainties. A new Lyapunov-Krasovskii functional is used for the stability analysis of Markovian jump systems with or without polytopic uncertainties. Two numerical examples are provided to demonstrate the applicability of the proposed approach.

KW - Delay

KW - Markovian jump system

KW - Polytopic uncertainty

KW - Stability

UR - https://www.scopus.com/pages/publications/84863040542

U2 - 10.1007/s00034-011-9282-0

DO - 10.1007/s00034-011-9282-0

M3 - Article

AN - SCOPUS:84863040542

SN - 0278-081X

VL - 31

SP - 143

EP - 162

JO - Circuits, Systems, and Signal Processing

JF - Circuits, Systems, and Signal Processing

IS - 1

ER -

Stability analysis of markovian jump systems with multiple delay components and polytopic uncertainties

Abstract

Keywords

ASJC Scopus subject areas

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