Strict practical stability of nonlinear impulsive systems by employing two Lyapunov-like functions

DOI10.1016/j.nonrwa.2007.08.003zbMath1156.34329OpenAlexW2050758828MaRDI QIDQ1007754

An Li, Senlin Li, Xinyu Song

Publication date: 24 March 2009

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2007.08.003

zbMATH Keywords

strict practical stabilitypractical stabilityLyapunov-like functionsnonlinear impulsive system

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Ordinary differential equations with impulses (34A37) Stability of solutions to ordinary differential equations (34D20)

Related Items (7)

Lyapunov matrix‐based method to global robust practical exponential r‐stability for a class of delayed continuous‐time nonlinear systems: Theory and applications ⋮ Some recent results of analysis and control for impulsive systems ⋮ Strict Practical Stability of Impulsive Differential System in Terms of Two Measures ⋮ A note on practical stability of nonlinear vibration systems with impulsive effects ⋮ Study on the stability of nonlinear differential equations with initial time difference ⋮ Complex systems with impulsive effects and logical dynamics: a brief overview ⋮ Practical stability in terms of two measures for impulsive differential equations with ``supremum

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