Prolongations and Lyapunov functions in control systems

DOI10.1007/BF01744578zbMath0543.93056OpenAlexW2041599390MaRDI QIDQ3332893

Nicholas Kalouptsidis

Publication date: 1983

Published in: Mathematical Systems Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01744578

zbMATH Keywords

Lyapunov functionsprolongationsuniform attraction

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Asymptotic stability in control theory (93D20) Stability of solutions to ordinary differential equations (34D20) Control/observation systems governed by ordinary differential equations (93C15) Stability theory for smooth dynamical systems (37C75)

Related Items (9)

Stability of discrete-time bilinear systems with constant inputs ⋮ Geometric control theory ⋮ A Lyapunov description of stability in control systems ⋮ Geometrical and topological methods in optimal control theory ⋮ Topological dynamics of control systems: Stability and attraction ⋮ Asymptotic stability in general dynamical systems ⋮ Lyapunov functions and stability of dynamical polysystems ⋮ Prolongations and stability analysis via lyapunov functions of dynamical polysystems ⋮ Stability analysis of the orbits of control systems

Cites Work

• Unnamed Item
• Prolongations and stability in dynamical systems
• Stability analysis of the orbits of control systems
• Sur les courbes définies par les équations différentielles dans l'espace à $m$ dimensions

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