Lyapunov-like stability of switched stochastic systems

Dimos V. Dimarogonas; Kostas J. Kyriakopoulos

doi:10.23919/acc.2004.1386852

Lyapunov-like stability of switched stochastic systems

Dimos V. Dimarogonas, Kostas J. Kyriakopoulos

Electrical Engineering

Research output: Contribution to journal › Conference article › peer-review

Abstract

In this paper, three theorems regarding stability of switched stochastic systems are stated and proved. Lyapunov techniques are used to derive sufficient conditions for stability in probability of the overall system and we distinguish between the cases of a common Lyapunov function and multiple Lyapunov functions. An application to distributed Air Traffic Management is discussed as a future goal.

Original language	English (US)
Pages (from-to)	1868-1872
Number of pages	5
Journal	Proceedings of the American Control Conference
Volume	2
DOIs	https://doi.org/10.23919/acc.2004.1386852
State	Published - 2004
Event	Proceedings of the 2004 American Control Conference (AAC) - Boston, MA, United States Duration: Jun 30 2004 → Jul 2 2004

ASJC Scopus subject areas

Electrical and Electronic Engineering

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10.23919/acc.2004.1386852

Cite this

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title = "Lyapunov-like stability of switched stochastic systems",

abstract = "In this paper, three theorems regarding stability of switched stochastic systems are stated and proved. Lyapunov techniques are used to derive sufficient conditions for stability in probability of the overall system and we distinguish between the cases of a common Lyapunov function and multiple Lyapunov functions. An application to distributed Air Traffic Management is discussed as a future goal.",

author = "Dimarogonas, {Dimos V.} and Kyriakopoulos, {Kostas J.}",

year = "2004",

doi = "10.23919/acc.2004.1386852",

language = "English (US)",

volume = "2",

pages = "1868--1872",

journal = "Proceedings of the American Control Conference",

issn = "0743-1619",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

note = "Proceedings of the 2004 American Control Conference (AAC) ; Conference date: 30-06-2004 Through 02-07-2004",

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TY - JOUR

T1 - Lyapunov-like stability of switched stochastic systems

AU - Dimarogonas, Dimos V.

AU - Kyriakopoulos, Kostas J.

PY - 2004

Y1 - 2004

N2 - In this paper, three theorems regarding stability of switched stochastic systems are stated and proved. Lyapunov techniques are used to derive sufficient conditions for stability in probability of the overall system and we distinguish between the cases of a common Lyapunov function and multiple Lyapunov functions. An application to distributed Air Traffic Management is discussed as a future goal.

AB - In this paper, three theorems regarding stability of switched stochastic systems are stated and proved. Lyapunov techniques are used to derive sufficient conditions for stability in probability of the overall system and we distinguish between the cases of a common Lyapunov function and multiple Lyapunov functions. An application to distributed Air Traffic Management is discussed as a future goal.

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U2 - 10.23919/acc.2004.1386852

DO - 10.23919/acc.2004.1386852

M3 - Conference article

AN - SCOPUS:8744293472

SN - 0743-1619

VL - 2

SP - 1868

EP - 1872

JO - Proceedings of the American Control Conference

JF - Proceedings of the American Control Conference

T2 - Proceedings of the 2004 American Control Conference (AAC)

Y2 - 30 June 2004 through 2 July 2004

ER -

Lyapunov-like stability of switched stochastic systems

Abstract

ASJC Scopus subject areas

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