The stability analysis of constant-coefficient linear systems is extended to systems with periodically-varying coefficients. Although this theory is mathematically well-understood, little work has been done regarding its application to physical problems. All previous results are based on asymptotic analysis. A review of the theory of parametrically-forced linear systems will be presented, followed by a detailed stability analysis of a pendulum with a harmonically moving base.
Library of Congress Subject Headings
Linear systems; Stability; Differential equations
Department, Program, or Center
Mechanical Engineering (KGCOE)
Leccese, Andrew J., "Stability of parametrically forced linear systems" (1994). Thesis. Rochester Institute of Technology. Accessed from
RIT – Main Campus