... stress and its time derivative. Alternative models for this joint probability density function, based on the translation process model, combined Laguerre-Hermite polynomial expansion and the maximum entropy model are considered. In implementing the maximum entropy method, the unknown parameters...

... in the linearization model. Finally, the performance of the present linearization model is compared and supported by employing two examples with exact solutions, Monte Carlo simulations, and Gaussian linearization method. Gaussian processes Monte Carlo methods maximum entropy methods stochastic systems...

... controls that render the exact stationary PDF of the response to assist the evaluation of the response moments in the design of covariance controls. covariance analysis nonlinear dynamical systems stochastic systems Monte Carlo methods optimisation maximum entropy methods nonlinear control...