String Stability of Singularly Perturbed Stochastic Systems

摘要

The problem of string stability of singularly perturbed nonlinear dynamic systems under some class of parametric excitations is considered in this paper. The derivation of the sufficient conditions of stability is based on a combination of the idea of the exponential stability of singularly, perturbed stochastic systems with the concept of string stability of singularly perturbed interconnected deterministic systems.