DocumentCode
234534
Title
Stability analysis of spatially and temporally complex dynamical networks with time-varying delays
Author
Ren Shun-Yan ; Zhao Yue-Hui ; Wang Jin-Liang
Author_Institution
Sch. of Comput. Sci. & Software Eng., Tianjin Polytech. Univ., Tianjin, China
fYear
2014
fDate
28-30 July 2014
Firstpage
2779
Lastpage
2782
Abstract
This paper proposes a new complex dynamical network model, in which the state and input variables are varied with the time and space variables. By utilizing the Lyapunov functional method combined with the inequality techniques, several sufficient conditions ensuring the existence, uniqueness of periodic solution and global exponential stability are established. Finally, numerical simulations are given to illustrate the effectiveness of the obtained results.
Keywords
Lyapunov methods; asymptotic stability; complex networks; delays; network theory (graphs); time-varying systems; Lyapunov functional method; global exponential stability analysis; inequality techniques; space variables; spatially complex dynamical network model; sufficient conditions; temporally complex dynamical network model; time variables; Biological system modeling; Complex networks; Control theory; Delays; Mathematical model; Stability; Synchronization; Complex Networks; Global Exponential Stability; Lyapunov Functional;
fLanguage
English
Publisher
ieee
Conference_Titel
Control Conference (CCC), 2014 33rd Chinese
Conference_Location
Nanjing
Type
conf
DOI
10.1109/ChiCC.2014.6897078
Filename
6897078
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