On the continuity of the Lyapunov functions in the converse stability theorems for discontinuous dynamical systems

DOI10.1016/J.NAHS.2008.07.002zbMath1163.93387OpenAlexW2097711407MaRDI QIDQ1026376

Ling Hou, Anthony N. Michel

Publication date: 24 June 2009

Published in: Nonlinear Analysis. Hybrid Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nahs.2008.07.002

zbMATH Keywords

stabilityLyapunov functionconverse theoremdiscontinuous dynamical system

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) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Cites Work

• Stability theory for hybrid dynamical systems
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