Frequency delay‐dependent stability criterion for time‐delay systems thanks to Fourier–Legendre remainders
DOI10.1002/rnc.5575zbMath1525.93309OpenAlexW3171255839MaRDI QIDQ6060465
Frédéric Gouaisbaut, Mathieu Bajodek, Alexandre Seuret
Publication date: 3 November 2023
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.5575
stability analysisrobust stabilitytime-delay systemsspectral analysispartial differential equationsmodel approximation\(\mathcal{H}_\infty\) analysis
(H^infty)-control (93B36) Robust stability (93D09) PDEs in connection with control and optimization (35Q93) Delay control/observation systems (93C43)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Time-delay systems. Lyapunov functionals and matrices
- Padé-Legendre approximants for uncertainty analysis with discontinuous response surfaces
- Differential-difference equations
- Hierarchy of LMI conditions for the stability analysis of time-delay systems
- Theory of functional differential equations. 2nd ed
- The orthogonal polynomials and the Padé approximation
- Delay effects on stability. A robust control approach
- On the Kalman-Yakubovich-Popov lemma
- Time-delay systems: an overview of some recent advances and open problems.
- Deterministic and stochastic time delay systems
- Introduction to time-delay systems. Analysis and control
- Stability of Linear Delay Differential Equations
- A Fully-Discrete Spectral Method for Delay-Differential Equations
- Model reduction of delay systems using Pade approximants
- Convergence Properties of the Nelder--Mead Simplex Method in Low Dimensions
- Delay-induced Instabilities in Gyroscopic Systems
- A matrix method for determining the imaginary axis eigenvalues of a delay system
- Stability analysis of time‐delay systems via Bessel inequality: A quadratic separation approach
- Legendre–Tau Approximations for Functional-Differential Equations
- Matrix Polynomials, Similar Operators, and the Imaginary Axis Eigenvalues of a Matrix Delay Equation
- Robust stability of quasi-polynomials and the finite inclusions theorem
- Stability of Linear Systems With Interval Time Delays Excluding Zero
- Stability and Stabilization of Time-Delay Systems
- Characterizing and Computing the ${\cal H}_{2}$ Norm of Time-Delay Systems by Solving the Delay Lyapunov Equation
- Stability and Stabilization of Systems with Time Delay
- Pseudospectral Differencing Methods for Characteristic Roots of Delay Differential Equations
- Analysis of Some Padé--Chebyshev Approximants
- Stability of time-delay systems
This page was built for publication: Frequency delay‐dependent stability criterion for time‐delay systems thanks to Fourier–Legendre remainders
