D-stability analysis for discrete systems with a time delay

DOI10.1016/0167-6911(92)90115-9zbMath0763.93025OpenAlexW2058936716MaRDI QIDQ1195836

Fan-Chu Kung, Tzuu-Hseng S. Li, Chien-Hua Lee

Publication date: 4 January 1993

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

Full work available at URL: https://doi.org/10.1016/0167-6911(92)90115-9

zbMATH Keywords

discrete time-delay systemsclosed-loop eigenvalues\(D\)-pole placement problem

Mathematics Subject Classification ID

Pole and zero placement problems (93B55)

Related Items (15)

\(D\)-stability analysis for discrete uncertain time-delay systems ⋮ \({\mathcal D}\)-stability and \({\mathcal D}\)-stabilization of linear discrete time-delay systems with polytopic uncertainties ⋮ Guaranteed cost D-stabilization and \(H_{\infty }\) D-stabilization for linear discrete time-delay systems ⋮ An LMI approach to \(\mathcal D\)-stability and \(\mathcal D\)-stabilization of linear discrete singular systems with state delay ⋮ Robustness analysis of discrete time-delay systems ⋮ On dynamic output feedback guaranteed cost control of uncertain discrete-delay systems: LMI optimization approach ⋮ Real stability radii of linear time-invariant time-delay systems ⋮ Robust stability of positive linear systems in Banach spaces ⋮ D-stability analysis of discrete-delay perturbed systems ⋮ 𝒟-Stability Radius of Linear Discrete Time Systems ⋮ Unifying Matrix Stability Concepts with a View to Applications ⋮ On the estimation of eigenvalue regions for discrete time-delay systems with a class of highly structured perturbations ⋮ Optimal D-stable control for discrete multiple time-delay systems with parametric uncertainties ⋮ Robust controller design for uncertain linear systems with circular pole constraints ⋮ Stability radii of positive linear difference equations under affine parameter perturbations

Cites Work

• Unnamed Item
• Unnamed Item
• Robustness of pole location in perturbed systems
• On optimal pole assignment in a specified region
• Robustness of pole assignment in a specified region for perturbed systems
• Discrete optimal control with eigenvalue assigned inside a circular region
• Pole assignment in a specified disk
• Lyapunov approach to robust pole-assignment analysis
• Delay-independent stability criteria for discrete-delay systems
• Robust stability bounds on time-varying perturbations for state-space models of linear discrete-time systems
• Stability robustness of linear discrete-time systems in the presence of uncertainty
• Lyapunov bounds for root clustering in the presence of system uncertainty

This page was built for publication: D-stability analysis for discrete systems with a time delay