Real spectral values coexistence and their effect on the stability of time-delay systems: Vandermonde matrices and exponential decay
From MaRDI portal
Publication:2219986
DOI10.5802/CRMATH.112zbMath1469.34095OpenAlexW3006418118WikidataQ115479250 ScholiaQ115479250MaRDI QIDQ2219986
Islam Boussaada, Silviu Iulian Niculescu, Fazia Bedouhene
Publication date: 21 January 2021
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.5802/crmath.112
Stability theory of functional-differential equations (34K20) Control problems for functional-differential equations (34K35)
Related Items (3)
The generic multiplicity-induced-dominancy property from retarded to neutral delay-differential equations: when delay-systems characteristics meet the zeros of Kummer functions ⋮ Conditions for stabilizability of time‐delay systems with real‐rooted plant ⋮ PID and low‐order controller design for guaranteed delay margin and pole placement
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Characterizing the codimension of zero singularities for time-delay systems. A link with Vandermonde and Birkhoff incidence matrices
- On the confluent Vandermonde matrix calculation algorithm
- Differential-difference equations
- Stability of functional differential equations
- A note on the determinant of a functional confluent Vandermonde matrix and controllability
- Introduction to functional differential equations
- Continuous pole placement for delay equations
- Further remarks on the effect of multiple spectral values on the dynamics of time-delay systems. Application to the control of a mechanical system
- Stability, Control, and Computation for Time-Delay Systems
- Tracking the Algebraic Multiplicity of Crossing Imaginary Roots for Generic Quasipolynomials: A Vandermonde-Based Approach
- Delay Effects on Output Feedback Control of Dynamical Systems
- On Multivariate Interpolation
- Direct method for TDS stability analysis
- Finite spectrum assignment problem for systems with delays
- On an estimate of the decay rate for stable linear delay systems
- Proportional minus delay controller
- Multiplicity-induced-dominancy in parametric second-order delay differential equations: Analysis and application in control design
- Stabilizing a Chain of Integrators Using Multiple Delays
- Stability and Stabilization of Systems with Time Delay
- Roots of the Transcendental Equation Associated with a Certain Difference-Differential Equation
This page was built for publication: Real spectral values coexistence and their effect on the stability of time-delay systems: Vandermonde matrices and exponential decay