Stochastic stability of discrete-time Markovian jump antilinear systems

Yang-Yang QIAN; Ai Guo WU; Wanquan LIU

doi:10.1109/CCDC.2014.6852951

Stochastic stability of discrete-time Markovian jump antilinear systems

Yang-Yang QIAN, Ai Guo WU, Wanquan LIU

Research output: Book Chapters | Papers in Conference Proceedings › Conference paper (refereed) › Research › peer-review

3 Citations (Scopus)

Abstract

In this paper, we investigate the discrete-time antilinear systems with Markovian jumping parameters. The concept of stochastic stability is extended to the context of discrete-time Markovian jump (DTMJ) antilinear systems. By using stochastic Lyapunov approaches, necessary and sufficient conditions are established for a DTMJ antilinear system to be stochastically stable in terms of coupled anti-Lyapunov matrix equations.

Original language	English
Title of host publication	The 26th Chinese Control and Decision Conference (2014 CCDC)
Publisher	IEEE
Pages	4381-4386
Number of pages	6
ISBN (Electronic)	9781479937080
ISBN (Print)	9781479937066
DOIs	https://doi.org/10.1109/CCDC.2014.6852951
Publication status	Published - 2014
Externally published	Yes
Event	26th Chinese Control and Decision Conference, CCDC 2014 - Changsha, China Duration: 31 May 2014 → 2 Jun 2014

Conference

Conference	26th Chinese Control and Decision Conference, CCDC 2014
Country/Territory	China
City	Changsha
Period	31/05/14 → 2/06/14

Keywords

Discrete-time
Markovian Jump Antilinear Systems
Stochastic Stability

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10.1109/CCDC.2014.6852951

Cite this

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title = "Stochastic stability of discrete-time Markovian jump antilinear systems",

abstract = "In this paper, we investigate the discrete-time antilinear systems with Markovian jumping parameters. The concept of stochastic stability is extended to the context of discrete-time Markovian jump (DTMJ) antilinear systems. By using stochastic Lyapunov approaches, necessary and sufficient conditions are established for a DTMJ antilinear system to be stochastically stable in terms of coupled anti-Lyapunov matrix equations.",

keywords = "Discrete-time, Markovian Jump Antilinear Systems, Stochastic Stability",

author = "Yang-Yang QIAN and WU, \{Ai Guo\} and Wanquan LIU",

year = "2014",

doi = "10.1109/CCDC.2014.6852951",

language = "English",

isbn = "9781479937066",

pages = "4381--4386",

booktitle = "The 26th Chinese Control and Decision Conference (2014 CCDC)",

publisher = "IEEE",

note = "26th Chinese Control and Decision Conference, CCDC 2014 ; Conference date: 31-05-2014 Through 02-06-2014",

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TY - GEN

T1 - Stochastic stability of discrete-time Markovian jump antilinear systems

AU - QIAN, Yang-Yang

AU - WU, Ai Guo

AU - LIU, Wanquan

PY - 2014

Y1 - 2014

N2 - In this paper, we investigate the discrete-time antilinear systems with Markovian jumping parameters. The concept of stochastic stability is extended to the context of discrete-time Markovian jump (DTMJ) antilinear systems. By using stochastic Lyapunov approaches, necessary and sufficient conditions are established for a DTMJ antilinear system to be stochastically stable in terms of coupled anti-Lyapunov matrix equations.

AB - In this paper, we investigate the discrete-time antilinear systems with Markovian jumping parameters. The concept of stochastic stability is extended to the context of discrete-time Markovian jump (DTMJ) antilinear systems. By using stochastic Lyapunov approaches, necessary and sufficient conditions are established for a DTMJ antilinear system to be stochastically stable in terms of coupled anti-Lyapunov matrix equations.

KW - Discrete-time

KW - Markovian Jump Antilinear Systems

KW - Stochastic Stability

UR - https://www.scopus.com/pages/publications/84905269212

U2 - 10.1109/CCDC.2014.6852951

DO - 10.1109/CCDC.2014.6852951

M3 - Conference paper (refereed)

AN - SCOPUS:84905269212

SN - 9781479937066

SP - 4381

EP - 4386

BT - The 26th Chinese Control and Decision Conference (2014 CCDC)

PB - IEEE

T2 - 26th Chinese Control and Decision Conference, CCDC 2014

Y2 - 31 May 2014 through 2 June 2014

ER -

Stochastic stability of discrete-time Markovian jump antilinear systems

Abstract

Conference

Keywords

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