Counting roots of the characteristic equation for linear delay-differential systems
From MaRDI portal
Publication:1358981
DOI10.1006/jdeq.1996.3127zbMath0872.34051OpenAlexW2007456116MaRDI QIDQ1358981
Publication date: 20 October 1997
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jdeq.1996.3127
asymptotic stabilitycharacteristic equationbifurcation analysisHopf bifurcation theoryautonomous delay-differential systemsgeneral real constant coefficient linear delay-differential systemsnumber of roots in the positive half planestability hypotheses
Related Items (17)
Delay-dependent stability analysis by using delay-independent integral evaluation ⋮ Semi-discretization method for delayed systems ⋮ Dynamics for a class of nonlinear systems with time delay ⋮ Stability analysis of delay-differential equations by the method of steps and inverse Laplace transform ⋮ Analytical approximations for the periodic motion of the Duffing system with delayed feedback ⋮ An effective analytical criterion for stability testing of fractional-delay systems ⋮ Multiplicity-induced-dominancy in parametric second-order delay differential equations: Analysis and application in control design ⋮ Stability Analysis of Uniformly Distributed Delay Systems: A Frequency-Sweeping Approach ⋮ Numerical Stability Test of Linear Time-Delay Systems of Neutral Type ⋮ Characterizing the codimension of zero singularities for time-delay systems. A link with Vandermonde and Birkhoff incidence matrices ⋮ GLOBAL DYNAMICS OF A DUFFING OSCILLATOR WITH DELAYED DISPLACEMENT FEEDBACK ⋮ Taylor approximation of invariant fiber bundles for nonautonomous difference equations ⋮ Calculating characteristic roots of multi-delayed systems with accumulation points via a definite integral method ⋮ HOPF BIFURCATION OF TIME-DELAY LIENARD EQUATIONS ⋮ Counting characteristic roots of linear delay differential equations. II: From argument principle to rightmost root assignment methods ⋮ Stability and chaotification of vibration isolation floating raft systems with time-delayed feedback control ⋮ A reliable graphical criterion for TDS stability analysis
Cites Work
This page was built for publication: Counting roots of the characteristic equation for linear delay-differential systems
