Stochastic stability of quasi-integrable Hamiltonian systems with time delay by using Lyapunov function method (Q987278)
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scientific article; zbMATH DE number 5770133
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| English | Stochastic stability of quasi-integrable Hamiltonian systems with time delay by using Lyapunov function method |
scientific article; zbMATH DE number 5770133 |
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Stochastic stability of quasi-integrable Hamiltonian systems with time delay by using Lyapunov function method (English)
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13 August 2010
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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.
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Lyapunov stability
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Lyapunov function
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time delay
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stochastic averaging
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