Stabilization of Oscillators Subject to Dry Friction: Finite Time Convergence Versus Exponential Decay Results

Abstract

We investigate the dynamics of an oscillator subject to dry friction via the following differential inclusion (S) ẍ(t) + ∂Φ(ẋ(t)) + ∇f(x(t)) 3 0, t ≥ 0, where f : R → R is a smooth potential and Φ : R → R is a convex function. The friction is modelized by the subdifferential term −∂Φ(ẋ). When 0 ∈ int(∂Φ(0)) (dry friction condition), it is shown in [1] that… (More)

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