Abstract
The Stochastic response, stability and reliability of quasi-linear systems subject to multi-time-delayed feedback control and wide-band random excitation are studied by using the stochastic averaging method for quasi Hamiltonian systems. It is verified that the time delay affect the response, the asymptotic stability and the first-passage time greatly, but the deterioration can be almost eliminated if the delay time can be set correctly. All the results are confirmed by Monte Carlo simulation.
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