On Input-to-State Stability of Switched Stochastic Nonlinear Systems Under Extended Asynchronous Switching

Yu Kang; Di-Hua Zhai; Yun-Bo Zhao; G-P Liu

doi:10.1109/TCYB.2015.2423553

On Input-to-State Stability of Switched Stochastic Nonlinear Systems Under Extended Asynchronous Switching

Yu Kang^*, Di-Hua Zhai, Yun-Bo Zhao, G-P Liu

^*Corresponding author for this work

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

25 Downloads (Pure)

Abstract

An extended asynchronous switching model is investigated for a class of switched stochastic nonlinear retarded systems in the presence of both detection delay and false alarm, where the extended asynchronous switching is described by two independent and exponentially distributed stochastic processes, and further simplified as Markovian. Based on the Razumikhin-type theorem incorporated with average dwell-time approach, the sufficient criteria for global asymptotic stability in probability and stochastic input-to-state stability are given, whose importance and effectiveness are finally verified by numerical examples.

Original language	English
Pages (from-to)	1092-1105
Number of pages	14
Journal	Ieee transactions on cybernetics
Volume	46
Issue number	5
Early online date	9 Jun 2015
DOIs	https://doi.org/10.1109/TCYB.2015.2423553
Publication status	Published - May 2016

Keywords

Extended asynchronous switching
input-to-state stability
Markovian theory
Razumikhin-type theorem
switched stochastic nonlinear retarded systems (SSNLRS)
AVERAGE DWELL TIME
H-INFINITY CONTROL
LINEAR-SYSTEMS
DELAY SYSTEMS
STABILIZATION

Access to Document

10.1109/TCYB.2015.2423553Licence: CC BY-NC-ND

KangY-IEEETCAccepted author manuscript, 836 KBLicence: CC BY-NC-ND

Cite this

@article{20818a142c3f43a78219db84862a1d63,

title = "On Input-to-State Stability of Switched Stochastic Nonlinear Systems Under Extended Asynchronous Switching",

abstract = "An extended asynchronous switching model is investigated for a class of switched stochastic nonlinear retarded systems in the presence of both detection delay and false alarm, where the extended asynchronous switching is described by two independent and exponentially distributed stochastic processes, and further simplified as Markovian. Based on the Razumikhin-type theorem incorporated with average dwell-time approach, the sufficient criteria for global asymptotic stability in probability and stochastic input-to-state stability are given, whose importance and effectiveness are finally verified by numerical examples.",

keywords = "Extended asynchronous switching, input-to-state stability, Markovian theory, Razumikhin-type theorem, switched stochastic nonlinear retarded systems (SSNLRS), AVERAGE DWELL TIME, H-INFINITY CONTROL, LINEAR-SYSTEMS, DELAY SYSTEMS, STABILIZATION",

author = "Yu Kang and Di-Hua Zhai and Yun-Bo Zhao and G-P Liu",

year = "2016",

month = may,

doi = "10.1109/TCYB.2015.2423553",

language = "English",

volume = "46",

pages = "1092--1105",

journal = "Ieee transactions on cybernetics",

issn = "2168-2267",

publisher = "Institute of Electrical and Electronics Engineers",

number = "5",

}

TY - JOUR

T1 - On Input-to-State Stability of Switched Stochastic Nonlinear Systems Under Extended Asynchronous Switching

AU - Kang, Yu

AU - Zhai, Di-Hua

AU - Zhao, Yun-Bo

AU - Liu, G-P

PY - 2016/5

Y1 - 2016/5

N2 - An extended asynchronous switching model is investigated for a class of switched stochastic nonlinear retarded systems in the presence of both detection delay and false alarm, where the extended asynchronous switching is described by two independent and exponentially distributed stochastic processes, and further simplified as Markovian. Based on the Razumikhin-type theorem incorporated with average dwell-time approach, the sufficient criteria for global asymptotic stability in probability and stochastic input-to-state stability are given, whose importance and effectiveness are finally verified by numerical examples.

AB - An extended asynchronous switching model is investigated for a class of switched stochastic nonlinear retarded systems in the presence of both detection delay and false alarm, where the extended asynchronous switching is described by two independent and exponentially distributed stochastic processes, and further simplified as Markovian. Based on the Razumikhin-type theorem incorporated with average dwell-time approach, the sufficient criteria for global asymptotic stability in probability and stochastic input-to-state stability are given, whose importance and effectiveness are finally verified by numerical examples.

KW - Extended asynchronous switching

KW - input-to-state stability

KW - Markovian theory

KW - Razumikhin-type theorem

KW - switched stochastic nonlinear retarded systems (SSNLRS)

KW - AVERAGE DWELL TIME

KW - H-INFINITY CONTROL

KW - LINEAR-SYSTEMS

KW - DELAY SYSTEMS

KW - STABILIZATION

U2 - 10.1109/TCYB.2015.2423553

DO - 10.1109/TCYB.2015.2423553

M3 - Article

C2 - 26068932

SN - 2168-2267

VL - 46

SP - 1092

EP - 1105

JO - Ieee transactions on cybernetics

JF - Ieee transactions on cybernetics

IS - 5

ER -

On Input-to-State Stability of Switched Stochastic Nonlinear Systems Under Extended Asynchronous Switching

Abstract

Keywords

Access to Document

Fingerprint

Cite this