Input-to-state stability of multi-group stochastic coupled systems with time-varying delay | Zendy

Xiaoling Zou | Zendy; Jiacheng Xu | Zendy

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Input-to-state stability of multi-group stochastic coupled systems with time-varying delay

Author(s) -

Xiaoling Zou,

Jiacheng Xu

Publication year - 2017

Publication title -

filomat

Language(s) - Uncategorized

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1707109z

Subject(s) - mathematics , lyapunov function , stability (learning theory) , moment (physics) , control theory (sociology) , graph , state (computer science) , construct (python library) , control (management) , discrete mathematics , computer science , algorithm , nonlinear system , physics , classical mechanics , quantum mechanics , machine learning , artificial intelligence , programming language

We investigate the issue of pth moment exponentially input-to-state stability (pMEISS) of multi-group stochastic coupled systems with time-varying delay (MSCSTD) in this paper. By means of results from graph theory, we develop a systematic method that allows one to construct a proper Lyapunov function for MSCSTD. More specifically, two kinds of sufficient criteria, which are called Lyapunov-type and coefficient-type respectively, are derived to ensure pMEISS for MSCSTD by using the graph-theoretic approach. To make results more understandable, we apply them to a typical stochastic coupled oscillators with control inputs.

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