Stability of elastic and viscoelastic systems under a random perturbations of their parameters
The paper is concerned with the investigation of the almost sure stability of elastic and viscoelastic systems, when their parameters are undergoing a random wide-band stationary process. The parameters are parametric loads, characteristics of external damping and material viscosity. With the help of Lyapunov's direct method, the sufficient condition for the almost sure asymptotic stability for distributed parameter systems with respect to perturbations of initial conditions of an arbitrary form is obtained.
scientific article; zbMATH DE number 873781