Regularity of Liapunov functions for stable systems
From MaRDI portal
Publication:1589495
DOI10.1016/S0167-6911(00)00062-1zbMath0980.93071MaRDI QIDQ1589495
Lionel Rosier, Andrea Bacciotti
Publication date: 12 December 2000
Published in: Systems \& Control Letters (Search for Journal in Brave)
Related Items (10)
Stability in the continuous case ⋮ On the relationship between the \textit{energy shaping} and the \textit{Lyapunov constraint based} methods ⋮ Dual approach to Lyapunov stability ⋮ Introducing some classes of stable systems without any smooth Lyapunov functions ⋮ Lyapunov theorems for systems described by retarded functional differential equations ⋮ Stability analysis of planar systems with nilpotent (non-zero) linear part ⋮ A converse Lyapunov theorem for non-uniform in time, global exponential robust stability ⋮ Input-to-state stability and interconnections of discontinuous dynamical systems ⋮ Lyapunov function design for finite-time convergence analysis: ``twisting controller for second-order sliding mode realization ⋮ Remarks regarding the gap between continuous, Lipschitz, and differentiable storage functions for dissipation inequalities appearing in \(H_{\infty}\) control
Cites Work
- Unnamed Item
- Unnamed Item
- A characterization of centres via first integrals
- Stability theory by Liapunov's direct method
- Liapunov and Lagrange stability: inverse theorem for discontinuous systems
- Algebraic criteria for the existence of analytic first integrals
- Smooth Lyapunov functions for discontinuous stable systems
- Strong solutions in \(L^ 1\) of degenerate parabolic equations
- Prolongations and stability in dynamical systems
- Liapunov functions and stability in control theory
This page was built for publication: Regularity of Liapunov functions for stable systems
