On the Asymptotic Stability of Oscillators with Unbounded Damping,

Abstract

Through a technique inspired by the invariance principle of LaSalle, a general growth condition on the damping coefficient h(t) of the equation 2nd derivative of x with respect to t + H(t)dx/dt + kx = 0, k > 0, h(t) > or = epsilon > 0, is given, which is sufficient for the global asymptotic stability of the origin, yet permits this coefficient to grow to infinity with time. The methods used do not depend on linearity, and are applied to obtain similar results to the nonlinear analog of this equation.

Document Details

Document Type
Technical Report
Publication Date
Jul 30, 1975
Accession Number
ADA015463

Entities

People

  • Ettore Ferrari Infante
  • Zvi Artstein

Organizations

  • Brown University

Tags

DTIC Thesaurus Topics

  • Coefficients
  • Equations
  • Invariance
  • Linearity
  • Oscillators

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Calculus or Mathematical Analysis