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

^*Awdur cyfatebol y gwaith hwn

Allbwn ymchwil: Cyfraniad at gyfnodolyn › Erthygl › adolygiad gan gymheiriaid

25 Wedi eu Llwytho i Lawr (Pure)

Crynodeb

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.

Iaith wreiddiol	Saesneg
Tudalennau (o-i)	1092-1105
Nifer y tudalennau	14
Cyfnodolyn	Ieee transactions on cybernetics
Cyfrol	46
Rhif cyhoeddi	5
Dyddiad ar-lein cynnar	9 Meh 2015
Dynodwyr Gwrthrych Digidol (DOIs)	https://doi.org/10.1109/TCYB.2015.2423553
Statws	Cyhoeddwyd - Mai 2016

Mynediad at Ddogfen

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

KangY-IEEETCLlawysgrif awdur wedi’i dderbyn, 836 KBTrwydded: CC BY-NC-ND

Dyfynnu hyn

@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

Crynodeb

Mynediad at Ddogfen

Ôl bys

Dyfynnu hyn