Stability domain of the second‐order discrete oscillatory system with parametric excitation

Toshiyuki Tanaka, Chikara Sato

研究成果: Article査読

抄録

This paper presents a quantitative discussion on the stability of the second‐order periodic difference equation, which characterizes the discrete periodic time‐varying system. the periodic parameter discrete system, which corresponds to Mathieu's equation in the continuous system, is represented by a second‐order linear difference equation with a small parameter ε in the varying term. the parameter ε plays an important role in the determination of the stability. By applying McLachlan's method, the expression for the boundary between the stability and the instability can be determined analytically with regard to the parameters contained in the equation. For the case where the periodic parameter of the difference equation is represented as a sum of two even functions, the boundary between stability and instability is determined. the stability can be analyzed in a similar way for the case where the periodic parameter is represented as a sum of N even functions in Fourier series.

本文言語English
ページ(範囲)109-116
ページ数8
ジャーナルElectronics and Communications in Japan (Part III: Fundamental Electronic Science)
72
2
DOI
出版ステータスPublished - 1989

ASJC Scopus subject areas

  • 電子工学および電気工学

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