On characteristic roots and stability charts of delay differential equations
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Publication:2857616
DOI10.1002/rnc.1734zbMath1274.93070OpenAlexW2007890218MaRDI QIDQ2857616
Publication date: 5 November 2013
Published in: International Journal of Robust and Nonlinear Control (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/rnc.1734
Sensitivity (robustness) (93B35) Eigenvalue problems (93B60) Control/observation systems governed by ordinary differential equations (93C15)
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Uses Software
Cites Work
- Stability implications of delay distribution for first-order and second-order systems
- Computing stability of differential equations with bounded distributed delays
- Time-delay systems: an overview of some recent advances and open problems.
- Stability of Runge-Kutta methods for linear delay differential equations
- Neimark-Sacker bifurcation for periodic delay differential equations
- Simultaneous triangularization
- Numerical solution of constant coefficient linear delay differential equations as abstract Cauchy problems
- The Lambert \(W\) function and the spectrum of some multidimensional time-delay systems
- Solution operator approximations for characteristic roots of delay differential equations
- Pseudospectral approximation of eigenvalues of derivative operators with nonlocal boundary conditions
- On the existence and boundedness of solutions of non-linear differential- difference equations
- Mathematical and Computational Tools for the Stability Analysis of Time-Varying Delay Systems and Applications in Mechanical Engineering
- Generalization of cluster treatment of characteristic roots for robust stability of multiple time-delayed systems
- A stability study on first-order neutral systems with three rationally independent time delays
- Computation, Continuation and Bifurcation Analysis of Periodic Solutions of Delay Differential Equations
- Stability of linear time-periodic delay-differential equations via Chebyshev polynomials
- COMPUTING FLOQUET MULTIPLIERS FOR FUNCTIONAL DIFFERENTIAL EQUATIONS
- On Stability of LMS Methods and Characteristic Roots of Delay Differential Equations
- Semi-discretization method for delayed systems
- Mapping Based Algorithm for Large-Scale Computation of Quasi-Polynomial Zeros
- An exact method for the stability analysis of time-delayed linear time-invariant (LTI) systems
- Continuation of Bifurcations in Periodic Delay‐Differential Equations Using Characteristic Matrices
- Error Bounds for Approximate Eigenvalues of Periodic-Coefficient Linear Delay Differential Equations
- Stability and Stabilization of Time-Delay Systems
- Updated semi‐discretization method for periodic delay‐differential equations with discrete delay
- Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL
- Pseudospectral Differencing Methods for Characteristic Roots of Delay Differential Equations
- Roots of the Transcendental Equation Associated with a Certain Difference-Differential Equation
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