On input-to-state stability for stochastic coupled control systems on networks

Shang Gao; Boying Wu

doi:10.1016/j.amc.2015.04.007

On input-to-state stability for stochastic coupled control systems on networks

Shang Gao
, Boying Wu^*

^*Corresponding author for this work

School of Mathematics

Harbin Institute of Technology

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

15 Scopus citations

Abstract

This paper investigates the input-to-state stability (ISS) properties for stochastic coupled control systems on networks (SCCSNs). With the help of Lyapunov method and graph theory, some inequality techniques and stochastic analysis skills, some sufficient criteria are obtained for e^λt-weighted integral ISS in mean and almost sure exponential ISS of SCCSNs. These sufficient criteria are closely related to the topological property of the network anatomy. Finally, an example is given to illustrate the results.

Original language	English
Pages (from-to)	90-101
Number of pages	12
Journal	Applied Mathematics and Computation
Volume	262
DOIs	https://doi.org/10.1016/j.amc.2015.04.007
State	Published - 1 Jul 2015

Keywords

Coupled control systems
Graph theory
Input-to-state stability
Lyapunov method

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10.1016/j.amc.2015.04.007

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title = "On input-to-state stability for stochastic coupled control systems on networks",

abstract = "This paper investigates the input-to-state stability (ISS) properties for stochastic coupled control systems on networks (SCCSNs). With the help of Lyapunov method and graph theory, some inequality techniques and stochastic analysis skills, some sufficient criteria are obtained for eλt-weighted integral ISS in mean and almost sure exponential ISS of SCCSNs. These sufficient criteria are closely related to the topological property of the network anatomy. Finally, an example is given to illustrate the results.",

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author = "Shang Gao and Boying Wu",

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T1 - On input-to-state stability for stochastic coupled control systems on networks

AU - Gao, Shang

AU - Wu, Boying

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Y1 - 2015/7/1

N2 - This paper investigates the input-to-state stability (ISS) properties for stochastic coupled control systems on networks (SCCSNs). With the help of Lyapunov method and graph theory, some inequality techniques and stochastic analysis skills, some sufficient criteria are obtained for eλt-weighted integral ISS in mean and almost sure exponential ISS of SCCSNs. These sufficient criteria are closely related to the topological property of the network anatomy. Finally, an example is given to illustrate the results.

AB - This paper investigates the input-to-state stability (ISS) properties for stochastic coupled control systems on networks (SCCSNs). With the help of Lyapunov method and graph theory, some inequality techniques and stochastic analysis skills, some sufficient criteria are obtained for eλt-weighted integral ISS in mean and almost sure exponential ISS of SCCSNs. These sufficient criteria are closely related to the topological property of the network anatomy. Finally, an example is given to illustrate the results.

KW - Coupled control systems

KW - Graph theory

KW - Input-to-state stability

KW - Lyapunov method

UR - https://www.scopus.com/pages/publications/84928955248

U2 - 10.1016/j.amc.2015.04.007

DO - 10.1016/j.amc.2015.04.007

M3 - 文章

AN - SCOPUS:84928955248

SN - 0096-3003

VL - 262

SP - 90

EP - 101

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

ER -

On input-to-state stability for stochastic coupled control systems on networks

Abstract

Keywords

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