Lyapunov functions in stability of nonlinear systems on time scales

DOI10.1080/10236190902932734zbMath1216.93074OpenAlexW2064134636MaRDI QIDQ2997145

Zbigniew Bartosiewicz, Ewa Piotrowska

Publication date: 6 May 2011

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190902932734

zbMATH Keywords

Lyapunov functionuniform stabilityasymptotic stabilitytime scalesLyapunov functionsnonlinear finite-dimensional systems

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Lyapunov and storage functions (93D30) Discrete-time control/observation systems (93C55) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Time-scale analysis and singular perturbations in control/observation systems (93C70) Asymptotic stability in control theory (93D20) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (10)

State feedback stabilization of a class of uncertain nonlinear systems on non-uniform time domains ⋮ Matrix measures, stability and contraction theory for dynamical systems on time scales ⋮ Determination of a differential pencil from interior spectral data on a union of two closed intervals ⋮ Stability and stabilizability of linear time-delay systems on homogeneous time scales ⋮ Asymptotic stability for nonlinear time-varying systems on time scales ⋮ An interior inverse Sturm-Liouville problem on a time scale ⋮ Finite-time stability and stabilization results for switched impulsive dynamical systems on time scales ⋮ Exponential stability of nonlinear positive systems on time scales ⋮ Lyapunov functions for time-scale dynamics on Riemannian geometries of the simplex ⋮ On stabilisability of nonlinear systems on time scales

Cites Work

• Unnamed Item
• Lyapunov stability theory for dynamic systems on time scales
• Integration on time scales.
• Chain rule and invariance principle on measure chains
• A spectral characterization of exponential stability for linear time-invariant systems on time scales
• On Liapounoff's conditions of stability
• Design of discrete-time nonlinear control systems via smooth feedback
• The strict stability of dynamic systems on time scales

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