Abstract:A problem of stabilization of the randomly forced periodic and quasiperiodic modes for nonlinear dynamic systems is considered. For this problem solution, we propose a new theoretical approach to consider these modes as invariant manifolds of the stochastic differential equations (SDEs) with control. The aim of the control is to provide the exponential mean square (EMS) stability for these manifolds. A general method of the stabilization based on the algebraic criterion of the EMS-stability is elaborated. A co… Show more
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