Control Minkowski-Lyapunov functions

DOI10.1016/j.automatica.2021.109598zbMath1471.93236OpenAlexW3149816487MaRDI QIDQ2021325

Saša V. Raković

Publication date: 26 April 2021

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2021.109598

zbMATH Keywords

stabilitylinear systemMinkowski functionscontrol Lyapunov functions

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) Linear systems in control theory (93C05) Robust stability (93D09)

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Impulsive input-to-state stabilization of an ensemble

Cites Work

• Review on computational methods for Lyapunov functions
• The Minkowski-Lyapunov equation for linear dynamics: theoretical foundations
• The stability and control of discrete processes
• A `universal' construction of Artstein's theorem on nonlinear stabilization
• A calculus for set-valued maps and set-valued evolution equations
• Stability of discrete linear inclusion
• Polarity of stability and robust positive invariance
• Robust Minkowski-Lyapunov functions
• The Minkowski-Lyapunov equation
• Lifting projections of convex polyhedra
• Stabilization with relaxed controls
• Set-theoretic methods in control
• Robust nonlinear control design. State-space and Lyapunov techniques
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