Convergent Solutions of Ordinary and Functional-Differential Pendulum-Like Equations
G.A. Leonov
St. Petersburg State University, Russian FederationVolker Reitmann
Technische Universität Dresden, Germany
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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