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

Shang Gao and Boying Wu

Applied Mathematics and Computation, 2015, vol. 262, issue C, 90-101

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.

Keywords: Input-to-state stability; Coupled control systems; Lyapunov method; Graph theory (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:262:y:2015:i:c:p:90-101

DOI: 10.1016/j.amc.2015.04.007

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