Easily testable necessary and sufficient algebraic criteria for delay-independent stability of a class of neutral differential systems

DOI10.1016/j.sysconle.2007.08.012zbMath1141.34046arXivmath/0610395OpenAlexW1989927556MaRDI QIDQ2474455

Qiang Guan, Ping Wei, Wensheng Yu, Long Wang

Publication date: 6 March 2008

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0610395

zbMATH Keywords

delay-independent stabilityglobal hyperbolicitydelay boundalgebraic criteriacomplete discrimination system for polynomialsneutral dynamical systems

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Neutral functional-differential equations (34K40)

Related Items (7)

Containment control of multi-agent systems by exploiting the control inputs of neighbors ⋮ A Polynomial Method for Stability Analysis of LTI Systems Independent of Delays ⋮ Synchronization of multi-agent systems with delayed control input information from neighbors ⋮ Stability analysis of time delayed system with coefficient uncertainty and time delay uncertainty ⋮ Sliding mode control for uncertain neutral system with time‐delays ⋮ Design and experimental verification of robust motion synchronization control with integral action ⋮ Imaginary characteristic roots of neutral systems with commensurate delays

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A complete discrimination system for polynomials
• Stability independent and dependent of delay for delay differential systems
• Stability in linear delay equations
• On the zeros of exponential polynomials
• Introduction to functional differential equations
• Robust \(H_\infty\) filtering for polytopic uncertain time-delay systems with Markov jumps
• Some simple criteria for stability of neutral delay-differential systems
• Recent advances on determining the number of real roots of parametric polynomials
• On the asymptotic behavior of solutions of differential-difference equations of neutral type
• Linear systems with commensurate time delays: stability and stabilization independent of delay
• Stability of linear neutral delay-differential systems
• Robust stability of time-delay systems
• Frequency sweeping tests for stability independent of delay
• Stability analysis and observer design for neutral delay systems
• Polytopic families of quasi-polynomials: vertex-type stability conditions
• Stability analysis for neutral delay-differential systems

This page was built for publication: Easily testable necessary and sufficient algebraic criteria for delay-independent stability of a class of neutral differential systems