On the conservatism of the sum-of-squares method for analysis of time-delayed systems

DOI10.1016/j.automatica.2011.08.010zbMath1228.93088OpenAlexW2114579276MaRDI QIDQ646423

Pierre-Alexandre Bliman, Matthew M. Peet

Publication date: 17 November 2011

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2011.08.010

zbMATH Keywords

time delayLyapunov stabilitypolynomialsfunction approximationgenerated Lyapunov functions

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Linear systems in control theory (93C05) Control problems involving ordinary differential equations (34H05)

Related Items (2)

Necessary conditions for the exponential stability of time-delay systems via the Lyapunov delay matrix ⋮ Stability and stabilization of linear impulsive systems with large impulse-delays: a stabilizing delay perspective

Cites Work

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• Positive Forms and Stability of Linear Time-Delay Systems
• Oscillation and Chaos in Physiological Control Systems
• Exponentially Stable Nonlinear Systems Have Polynomial Lyapunov Functions on Bounded Regions
• A non-linear difference-differential equation.

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