Complete type functional approach to input to state stability of time-delay systems

DOI10.1016/J.SYSCONLE.2024.105761zbMATH Open1545.93548MaRDI QIDQ6569389

Sabine Mondié, Marco A. Gomez

Publication date: 9 July 2024

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

zbMATH Keywords

input to state stabilitydelay Lyapunov matrixcomplete type functional

Mathematics Subject Classification ID

Input-output approaches in control theory (93D25) Delay control/observation systems (93C43)

Cites Work

• A Lyapunov--Krasovskii methodology for ISS and iISS of time-delay systems
• Further results on input-to-state stability for nonlinear systems with delayed feedbacks
• Lyapunov-Krasovskij approach to the robust stability analysis of time-delay systems
• Connections between Razumikhin-type theorems and the ISS nonlinear small gain theorem
• Approximation of delay Lyapunov matrices
• Necessary Stability Conditions for Linear Difference Equations in Continuous Time
• Smooth stabilization implies coprime factorization
• Input-to-State Stability of Time-Delay Systems: A Link With Exponential Stability
• Lyapunov--Krasovskii Characterization of the Input-to-State Stability for Switching Retarded Systems
• Characterizing and Computing the ${\cal H}_{2}$ Norm of Time-Delay Systems by Solving the Delay Lyapunov Equation
• Estimates of the attraction region for a class of nonlinear time-delay systems

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