Uniform asymptotic stability of time-varying damped harmonic oscillators
نویسندگان
چکیده
منابع مشابه
Uniform Asymptotic Stability of Time-varying Damped Harmonic Oscillators
Abstract. This paper presents sufficient conditions which guarantee that the equilibrium of the damped harmonic oscillator x′′ + h(t)x′ + ωx = 0 is uniformly asymptotically stable, where h : [0,∞) → [0,∞) is locally integrable. These conditions work to suppress the rapid growth of the frictional force expressed by the integral amount of the damping coefficient h. The obtained sufficient conditi...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society, Series B
سال: 2017
ISSN: 2330-1511
DOI: 10.1090/bproc/30