JournalszaaVol. 11, No. 1pp. 107–116

Convergent Solutions of Ordinary and Functional-Differential Pendulum-Like Equations

  • G.A. Leonov

    St. Petersburg State University, Russian Federation

  • Volker Reitmann

    Technische Universität Dresden, Germany
Convergent Solutions of Ordinary and Functional-Differential Pendulum-Like Equations cover
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Abstract

Sufficient frequency- domain conditions for complete stability of ordinary and functional-differential equations on the cylinder are given. For a class of phase-controlled systems, periodic Lyapunov functions and Popov functionals are constructed.

Cite this article

G.A. Leonov, Volker Reitmann, Convergent Solutions of Ordinary and Functional-Differential Pendulum-Like Equations. Z. Anal. Anwend. 11 (1992), no. 1, pp. 107–116

DOI 10.4171/ZAA/622