Stochastic stability of quasi-integrable Hamiltonian systems with time delay by using Lyapunov function method
type: Item
instance of: scholarly article
title: Stochastic stability of quasi-integrable Hamiltonian systems with time delay by using Lyapunov function method
zbMATH Open document ID: 1200.37083
author: Quan Ling
author: XiaoLing Jin
author: Z. L. Huang
published in: Science China. Technological Sciences
publication date: 2010-08-13T00:00:00Z
review text: A quasi-integrable Hamiltonian system with time-delayed feedback control is investigated in the present work. More precisely, its asymptotic Lyapunov stability is studied by means of Lyapunov functions and stochastic averaging method. The results are illustrated on two examples. The approach used in this work can be applied in studying asymptotic stability of other non-linear systems.
reviewed by: Gheorghe Tigan
Mathematics Subject Classification ID: 37N35
Mathematics Subject Classification ID: 93B52
Mathematics Subject Classification ID: 93E15
zbMATH DE Number: 5770133
zbMATH Keywords: Lyapunov stability
zbMATH Keywords: Lyapunov function
zbMATH Keywords: time delay
zbMATH Keywords: stochastic averaging
MaRDI profile type: Publication
full work available at URL: s11431-010-0071-y
OpenAlex ID: W2094926401
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DOI: 10.1007/S11431-010-0071-Y
description: scientific article; zbMATH DE number 5770133