Stability of nonlinear systems with three time scales

DOI10.1007/BF01599620zbMath0627.34063OpenAlexW2041730507MaRDI QIDQ1092309

B. George

Publication date: 1986

Published in: Circuits, Systems, and Signal Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01599620

zbMATH Keywords

asymptotic stabilitytime scalessingularly perturbed nonlinear time-invariant system

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20)

Related Items (6)

Extremum seeking control with attenuated steady-state oscillations ⋮ Singularly perturbed problems with multi-tempo fast variables ⋮ Three‐Time‐Scale Singular Perturbation Stability Analysis of Three‐Phase Power Converters ⋮ Quasi-steady-state models of three timescale systems: a bond graph approach ⋮ Three-time scale singular perturbation control and stability analysis for an autonomous helicopter on a platform ⋮ Stability and stabilization of one class of three time-scale systems with delays

Cites Work

• Unnamed Item
• Unnamed Item
• An initial value theorem for nonlinear singularly perturbed systems
• Asymptotic stability of nonlinear multiparameter singularly perturbed systems
• Singular perturbations and order reduction in control theory - an overview
• Asymptotic stability of a class of non-linear singularly perturbed systems
• Multiple time scales for nonlinear systems
• On systems of ordinary differential equations with several parameters multiplying the derivatives
• Quadratic-type Lyapunov functions for singularly perturbed systems
• Input-output description of linear systems with multiple time-scales†
• Hierarchical aggregation of linear systems with multiple time scales
• Uniform asymptotic stability of non-linear singularly perturbed general and large-scale systems
• Singular Perturbations on the Infinite Interval

This page was built for publication: Stability of nonlinear systems with three time scales