Stabilization of complex-valued stochastic functional differential systems on networks via impulsive control

Pengfei Wang, Shaoyu Li and Huan Su

Chaos, Solitons & Fractals, 2020, vol. 133, issue C

Abstract: In this paper, we consider the stabilization problem of complex-valued stochastic functional differential systems on networks (CSFDNs) via impulsive control. By the aid of complex version Itô’s formula, the CSFDNs is studied in complex domain directly without splitting their real and imaginary parts. Then by combining Lyapunov-Razumikhin method and graph-theoretical technique, we give several novel stability criteria for CSFDNs. These criteria show that the impulses and connectivity of CSFDNs play important roles in the stability analysis of CSFDNs. Subsequently, the stability of complex-valued stochastic networks with time-varying delay is investigated. Finally, an illustrative example of complex-valued stochastic neural networks is presented to show the validness of the main results.

Keywords: Complex version itô’s formula; Impulsive control; Lyapunov-Razumikhin method; Graph-theoretical technique (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:133:y:2020:i:c:s0960077919305181

DOI: 10.1016/j.chaos.2019.109561

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