Stochastic stability of quasi-integrable Hamiltonian systems with time delay by using Lyapunov function method |
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| Authors: | LING Quan JIN XiaoLing & HUANG ZhiLong |
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| Affiliation: | LING Quan1,JIN XiaoLing1 & HUANG ZhiLong2 1 Department of Mechanics,Zhejiang University,Hangzhou 310027,China,2 State Key Laboratory of Fluid Power Transmission , Control |
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| Abstract: | The asymptotic Lyapunov stability of one quasi-integrable Hamiltonian system with time-delayed feedback control is studied by using Lyapunov functions and stochastic averaging method. First, a quasi-integrable Hamiltonian system with time-delayed feedback control subjected to Gaussian white noise excitation is approximated by a quasi-integrable Hamiltonian system without time delay. Then, stochastic averaging method for quasi-integrable Hamiltonian system is used to reduce the dimension of the original syst... |
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| Keywords: | Lyapunov stability Lyapunov function time delay stochastic averaging |
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