Multiplicity-induced-dominancy for delay systems: comprehensive examples in the scalar neutral case

DOI10.1016/j.ejcon.2023.100835zbMath1527.93248MaRDI QIDQ6092430

Amina Benarab, Karim L. Trabelsi, Islam Boussaada, Silviu Iulian Niculescu

Publication date: 23 November 2023

Published in: European Journal of Control (Search for Journal in Brave)

zbMATH Keywords

neutral equationscontrol theoryfunctional differential equationsstability theorypartial pole placementstabilization of dynamical systems

Mathematics Subject Classification ID

Control/observation systems governed by functional-differential equations (93C23) Linear systems in control theory (93C05) Delay control/observation systems (93C43)

Cites Work

• 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
• Feedback stabilization for a scalar conservation law with PID boundary control
• Differential-difference equations
• Introduction to functional differential equations
• Delay effects on stability. A robust control approach
• Further remarks on the effect of multiple spectral values on the dynamics of time-delay systems. Application to the control of a mechanical system
• Multiplicity-induced-dominancy for delay-differential equations of retarded type
• Some remarks on the location of non-asymptotic zeros of Whittaker and Kummer hypergeometric functions
• The generic multiplicity-induced-dominancy property from retarded to neutral delay-differential equations: when delay-systems characteristics meet the zeros of Kummer functions
• Differential-difference equations and nonlinear initial-boundary value problems for linear hyperbolic partial differential equations
• Multiplicity-induced-dominancy property for second-order neutral differential equations with application in oscillation damping
• Stability, Control, and Computation for Time-Delay Systems
• Stability Criteria and the Real Roots of a Transcendental Equation
• Conditions for Robustness and Nonrobustness of the Stability of Feedback Systems with Respect to Small Delays in the Feedback Loop
• Multiplicity-induced-dominancy in parametric second-order delay differential equations: Analysis and application in control design
• Stability and Stabilization of Systems with Time Delay
• The Confluent Hypergeometric Function
• Small-signal Stability Criterion for Electrical Networks Containing Lossless Transmission Lines
• Time-lag in a control system
• Roots of the Transcendental Equation Associated with a Certain Difference-Differential Equation
• Stability of time-delay systems

This page was built for publication: Multiplicity-induced-dominancy for delay systems: comprehensive examples in the scalar neutral case