Stability in the continuous case

DOI10.1016/S0022-247X(02)00082-3zbMath1024.93054OpenAlexW2036486180MaRDI QIDQ1614703

Andrea Bacciotti

Publication date: 8 September 2002

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-247x(02)00082-3

zbMATH Keywords

stabilitynonsmooth functionconverse of first Lyapunov theorem

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)

Related Items (3)

Lyapunov functions for evolution variational inequalities with uniformly prox-regular sets ⋮ Introducing some classes of stable systems without any smooth Lyapunov functions ⋮ Nonsmooth Lyapunov pairs for infinite-dimensional first-order differential inclusions

Cites Work

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• Optimal trajectories associated with a solution of the contingent Hamilton-Jacobi equation
• Stability theory by Liapunov's direct method
• Liapunov and Lagrange stability: inverse theorem for discontinuous systems
• Regularity of Liapunov functions for stable systems
• Qualitative properties of trajectories of control systems: a survey
• Prolongations and stability in dynamical systems
• Stability and Stabilization of Discontinuous Systems and Nonsmooth Lyapunov Functions
• Differential inequalities and non-lipschitz scalar functions
• Liapunov functions and stability in control theory
• Differential inclusions and monotoncicity conditions for nonsmooth Lyapunov functions

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