Necessary Stability Conditions for One Delay Systems: A Lyapunov Matrix Approach

DOI10.1007/978-3-319-01695-5_1zbMath1276.93059OpenAlexW95404621MaRDI QIDQ2863176

Carlos Cuvas, Alexey V. Egorov, Adrian Ramírez, Sabine Mondié

Publication date: 21 November 2013

Published in: Delay Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-01695-5_1

zbMATH Keywords

Lyapunov-Krasovskii functionalLyapunov matrix of the delay systemnecessary conditions for exponential stabilityone delay linear systems

Mathematics Subject Classification ID

Lyapunov and storage functions (93D30) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Asymptotic stability in control theory (93D20) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (2)

Scanning the Space of Parameters for Stability Regions of a Class of Time-Delay Systems; A Lyapunov Matrix Approach ⋮ Necessary Stability Conditions for One Delay Systems: A Lyapunov Matrix Approach

Cites Work

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• Instability conditions for linear time delay systems: a Lyapunov matrix function approach
• Assessing the exact stability region of the single-delay scalar equation via its Lyapunov function
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