On stability and boundedness for Lipschitzian differential inclusions: The converse of Lyapunov's theorems

DOI10.1023/A:1008603707291zbMath0994.34040OpenAlexW1505975064MaRDI QIDQ1385043

E. Arzarello, Andrea Bacciotti

Publication date: 31 January 2002

Published in: Set-Valued Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1008603707291

zbMATH Keywords

stabilityboundednessLipschitzian differential inclusions

Mathematics Subject Classification ID

Ordinary differential inclusions (34A60) Stability of solutions to ordinary differential equations (34D20) Growth and boundedness of solutions to ordinary differential equations (34C11)

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Uniform exponential stability criteria with verification for nonautonomous switched nonlinear systems with uncertainty ⋮ The converse Lyapunov's theorem for ODEs of Carathéodory type ⋮ On practical stability of differential inclusions using Lyapunov functions ⋮ Input-to-state stability and interconnections of discontinuous dynamical systems

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