Stability of stochastic functional differential equations with random switching and applications

DOI10.1016/j.automatica.2020.109410zbMath1461.93529OpenAlexW3115261032WikidataQ115360077 ScholiaQ115360077MaRDI QIDQ2663903

Nhu N. Nguyen, Nguyen Huu Du, Dang H. Nguyen, George Yin

Publication date: 20 April 2021

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2020.109410

zbMATH Keywords

stabilitydelay systemswitching diffusion

Mathematics Subject Classification ID

Control/observation systems governed by functional-differential equations (93C23) Stochastic stability in control theory (93E15) Stochastic functional-differential equations (34K50) Delay control/observation systems (93C43)

Related Items (8)

Exponential stability of impulsive stochastic differential equations with Markovian switching ⋮ Explicit criteria for moment exponential stability and instability of switching diffusions with Lévy noise ⋮ Stability for multi-linked stochastic delayed complex networks with stochastic hybrid impulses by dupire Itô's formula ⋮ Hybrid stochastic functional differential equations with infinite delay: approximations and numerics ⋮ Exponential stability of stochastic functional differential equations with impulsive perturbations and Markovian switching ⋮ Stability analysis of switched stochastic nonlinear functional systems ⋮ Practical exponential stability of hybrid impulsive stochastic functional differential systems with delayed impulses ⋮ On stability of solutions of stochastic delay differential equations

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