Some problems in stability theory of singularly perturbed systems with multiple time-scales

DOI10.1016/J.NA.2004.09.016zbMath1224.34169OpenAlexW2048155531MaRDI QIDQ999908

Lyudmila K. Kuzmina

Publication date: 4 February 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2004.09.016

zbMATH Keywords

stabilitysingularly perturbed systemscritical casesreduction principlemultiple time-scales

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Stability of solutions to ordinary differential equations (34D20) Singular perturbations for ordinary differential equations (34E15) Multiple scale methods for ordinary differential equations (34E13)

Related Items (2)

Input-to-state stability and sliding mode control of the nonlinear singularly perturbed systems via trajectory-based small-gain theorem ⋮ Singular perturbation margin and generalised gain margin for linear time-invariant systems

Cites Work

• On certain properties of solutions of singularly perturbed systems in a particular critical case
• Multiparameter singular perturbations of linear systems with multiple time scales
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Some problems in stability theory of singularly perturbed systems with multiple time-scales