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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...
The exact stationary response of the suspension vehicle system under the random road excitation is deduced based on the stochastic averaging method. Then, the control law is assumed to be velocity feedback control and the unknown control gains are determined by minimizing the modal performance indices. A quarter-car model is taken as example to illustrate the proposal method and the numerical results...
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