, Volume 15, Issue 1, pp 42-70

Exponential Stability of Nonlinear Time-Varying Differential Equations and Partial Averaging

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In this paper we formulate, within the Liapunov framework, a sufficient condition for exponential stability of a differential equation. This condition gives rise to a new averaging result referred to as “partial averaging”: exponential stability of a system \(\), with α sufficiently large, is implied by exponential stability of a time-varying system \(\).