Stabilization of oscillators subject to dry friction: Finite time convergence versus exponential decay results
نویسندگان
چکیده
منابع مشابه
Stabilization of Oscillators Subject to Dry Friction: Finite Time Convergence Versus Exponential Decay Results
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 the unique solution of (S) converges i...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2008
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-07-03990-6