Verified inclusion for eigenvalues of the first order PLL equation with general phase detector characteristics

DOI10.1007/BF02246504zbMath0817.65068MaRDI QIDQ1332339

Werner Otten, Wolfram J. Luther

Publication date: 1994

Published in: Computing (Search for Journal in Brave)

zbMATH Keywords

numerical resultsmatrix continued fractionsfirst-order phase locked loop equationinclusion of eigenvaluesverification enclosure techniques

Mathematics Subject Classification ID

Interval and finite arithmetic (65G30) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (1)

The convergence rate of continued fractions representing solutions of a Riccati equation

Uses Software

• PASCAL-XSC

Cites Work

• Estimates for the eigenvalues of Hill's equation and applications for the eigenvalues of the Laplacian on toroidal surfaces
• A direct and inverse problem for a Hill's equation with double eigenvalues
• The Fokker-Planck equation. Methods of solution and applications.
• Hill’s Equation with a Large Potential
• Asymptotic Behavior of Stability Regions for Hill’s Equation
• Numerical treatment of the first-order pll equation with sinusoidal phase detector characteristic
• On multipliers preserving convergence of trigonometric series almost everywhere
• Transient analysis of phase-locked tracking systems in the presence of noise
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