A Lyapunov-density criterion for almost everywhere stability of a class of Lipschitz continuous and almost everywhereC1nonlinear systems

DOI10.1080/00207179.2013.841324zbMath1317.93203OpenAlexW2172140892MaRDI QIDQ5265692

Izumi Masubuchi, Yuzo Ohta

Publication date: 28 July 2015

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207179.2013.841324

zbMATH Keywords

stability analysisnonlinear systemsLyapunov densityalmost everywhere stability (AES)

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) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (1)

Lyapunov Density Criteria for Time-Varying and Periodically Time-Varying Nonlinear Systems with Converse Results

Cites Work

• Convex Programs for Temporal Verification of Nonlinear Dynamical Systems
• Density Functions for Navigation-Function-Based Systems
• On necessary conditions for almost global stability
• Nonlinear Control Synthesis by Convex Optimization
• An Almost Global Notion of Input-to-State Stability
• Analysis of Positive Invariance and Almost Regional Attraction Via Density Functions With Converse Results
• Almost Global Stochastic Stability
• A dual to Lyapunov's stability theorem

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