Modeling stochastic hybrid systems

Mrinal K. Ghosh; M.K. Ghosh; Arunabha Bagchi

doi:10.1007/0-387-23467-5_19

Modeling stochastic hybrid systems

Mrinal K. Ghosh, M.K. Ghosh, Arunabha Bagchi

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

10 Citations (Scopus)

Abstract

Stochastic hybrid systems arise in numerous applications of systems with multiple models; e.g., air traffc management, flexible manufacturing systems, fault tolerant control systems etc. In a typical hybrid system, the state space is hybrid in the sense that some components take values in a Euclidean space, while some other components are discrete. In this paper we propose two stochastic hybrid models, both of which permit diffusion and hybrid jump. Such models are essential for studying air traffic management in a stochastic framework.

Original language	Undefined
Title of host publication	System Modeling and Optimization, Proceedings of the 21st IFIP TC7 Conference
Editors	John Cagnol, Jean-Paul Zolésio
Place of Publication	London
Publisher	Kluwer Academic Publishers
Pages	269-280
Number of pages	12
ISBN (Print)	1-4020-7760-2
DOIs	https://doi.org/10.1007/0-387-23467-5_19
Publication status	Published - 21 Jul 2005
Event	21st IFIP TC7 Conference, Sophia Antipolis, France: System Modeling and Optimization, Proceedings of the 21st IFIP TC7 Conference - London Duration: 21 Jul 2003 → 25 Jul 2003

Publication series

Name	IFIP International Federation for Information Processing
Publisher	Kluwer Academic
Number	XVI
Volume	166
ISSN (Print)	1571-5736

Conference

Conference	21st IFIP TC7 Conference, Sophia Antipolis, France
City	London
Period	21/07/03 → 25/07/03

Keywords

METIS-219891
IR-85785

Access to Document

10.1007/0-387-23467-5_19

Cite this

@inproceedings{21980cfb5a82461281a8d27992c3c9a9,

title = "Modeling stochastic hybrid systems",

abstract = "Stochastic hybrid systems arise in numerous applications of systems with multiple models; e.g., air traffc management, flexible manufacturing systems, fault tolerant control systems etc. In a typical hybrid system, the state space is hybrid in the sense that some components take values in a Euclidean space, while some other components are discrete. In this paper we propose two stochastic hybrid models, both of which permit diffusion and hybrid jump. Such models are essential for studying air traffic management in a stochastic framework.",

keywords = "METIS-219891, IR-85785",

author = "Ghosh, {Mrinal K.} and M.K. Ghosh and Arunabha Bagchi",

year = "2005",

month = jul,

day = "21",

doi = "10.1007/0-387-23467-5_19",

language = "Undefined",

isbn = "1-4020-7760-2",

series = "IFIP International Federation for Information Processing",

publisher = "Kluwer Academic Publishers",

number = "XVI",

pages = "269--280",

editor = "John Cagnol and Jean-Paul Zol{\'e}sio",

booktitle = "System Modeling and Optimization, Proceedings of the 21st IFIP TC7 Conference",

address = "Netherlands",

note = "21st IFIP TC7 Conference, Sophia Antipolis, France ; Conference date: 21-07-2003 Through 25-07-2003",

}

Ghosh, MK, Ghosh, MK & Bagchi, A 2005, Modeling stochastic hybrid systems. in J Cagnol & J-P Zolésio (eds), System Modeling and Optimization, Proceedings of the 21st IFIP TC7 Conference. IFIP International Federation for Information Processing, no. XVI, vol. 166, Kluwer Academic Publishers, London, pp. 269-280, 21st IFIP TC7 Conference, Sophia Antipolis, France, London, 21/07/03. https://doi.org/10.1007/0-387-23467-5_19

Modeling stochastic hybrid systems. / Ghosh, Mrinal K.; Ghosh, M.K.; Bagchi, Arunabha.
System Modeling and Optimization, Proceedings of the 21st IFIP TC7 Conference. ed. / John Cagnol; Jean-Paul Zolésio. London: Kluwer Academic Publishers, 2005. p. 269-280 (IFIP International Federation for Information Processing; Vol. 166, No. XVI).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - Modeling stochastic hybrid systems

AU - Ghosh, Mrinal K.

AU - Ghosh, M.K.

AU - Bagchi, Arunabha

PY - 2005/7/21

Y1 - 2005/7/21

N2 - Stochastic hybrid systems arise in numerous applications of systems with multiple models; e.g., air traffc management, flexible manufacturing systems, fault tolerant control systems etc. In a typical hybrid system, the state space is hybrid in the sense that some components take values in a Euclidean space, while some other components are discrete. In this paper we propose two stochastic hybrid models, both of which permit diffusion and hybrid jump. Such models are essential for studying air traffic management in a stochastic framework.

AB - Stochastic hybrid systems arise in numerous applications of systems with multiple models; e.g., air traffc management, flexible manufacturing systems, fault tolerant control systems etc. In a typical hybrid system, the state space is hybrid in the sense that some components take values in a Euclidean space, while some other components are discrete. In this paper we propose two stochastic hybrid models, both of which permit diffusion and hybrid jump. Such models are essential for studying air traffic management in a stochastic framework.

KW - METIS-219891

KW - IR-85785

U2 - 10.1007/0-387-23467-5_19

DO - 10.1007/0-387-23467-5_19

M3 - Conference contribution

SN - 1-4020-7760-2

T3 - IFIP International Federation for Information Processing

SP - 269

EP - 280

BT - System Modeling and Optimization, Proceedings of the 21st IFIP TC7 Conference

A2 - Cagnol, John

A2 - Zolésio, Jean-Paul

PB - Kluwer Academic Publishers

CY - London

T2 - 21st IFIP TC7 Conference, Sophia Antipolis, France

Y2 - 21 July 2003 through 25 July 2003

ER -