Characterization of uniform attractors for control systems

DOI10.1080/00207179.2015.1046493zbMath1334.93157OpenAlexW1988503524MaRDI QIDQ2799278

Josiney A. Souza

Publication date: 8 April 2016

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207179.2015.1046493

zbMATH Keywords

Lyapunov functioncontrol affine systemuniform attraction

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) Attractors of solutions to ordinary differential equations (34D45) Control/observation systems governed by ordinary differential equations (93C15)

Cites Work

• Complete Lyapunov functions of control systems
• Attractors and chain recurrence for semigroup actions
• On the topological structure of attraction basins for differential inclusions
• Asymptotic stability and smooth Lyapunov functions
• Prolongational limit sets of control systems
• Backstepping design for time-varying nonlinear systems with unknown parameters
• On global weak attractors in dynamical systems
• Dynamical systems: Stability theory and applications
• Local semi-dynamical systems
• Topological dynamics of control systems: Stability and attraction
• A smooth Lyapunov function from a class-${\mathcal{KL}}$ estimate involving two positive semidefinite functions

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