Exponential Stability of Nonlinear Time-Varying Differential Equations and Partial Averaging
- Cite this article as:
- Peuteman, J. & Aeyels, D. Math. Control Signals Systems (2002) 15: 42. doi:10.1007/s004980200002
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 \(\).