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

DOI10.1137/19M1291479zbMath1469.93048OpenAlexW3120598610MaRDI QIDQ5145603

Takahiro Kikuchi, Izumi Masubuchi

Publication date: 21 January 2021

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/19m1291479

zbMATH Keywords

stabilitynonlinear time-varying systemsperiodically time-varying systemsalmost attractionLyapunov density

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Asymptotic stability in control theory (93D20)

Cites Work

• Unnamed Item
• Attractors of nonlinear dynamical systems with a weakly monotone measure
• Stability in the almost everywhere sense: a linear transfer operator approach
• Almost global attraction in planar systems
• Differentiability of Palmer's linearization theorem and converse result for density functions
• Robust stability analysis using Lyapunov density
• Lyapunov Measure for Almost Everywhere Stability
• Lyapunov density for coupled systems
• A Lyapunov-density criterion for almost everywhere stability of a class of Lipschitz continuous and almost everywhereC¹nonlinear 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
• Combination of Lyapunov and Density Functions for Stability of Rotational Motion
• A dual to Lyapunov's stability theorem

This page was built for publication: Lyapunov Density Criteria for Time-Varying and Periodically Time-Varying Nonlinear Systems with Converse Results