Practical \(\phi_{0}\)-stability of impulsive dynamic systems on time scales

DOI10.1016/j.aml.2006.06.016zbMath1126.34346OpenAlexW1980469653MaRDI QIDQ878997

Peiguang Wang, Meng Wu

Publication date: 4 May 2007

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2006.06.016

zbMATH Keywords

variational methodLyapunov methodtime scale\(\phi_0\)-stabilityimpulsive dynamic equationscone-valued

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Stability of solutions to ordinary differential equations (34D20) Additive difference equations (39A10)

Related Items

Multi-point boundary value problems for an increasing homeomorphism and positive homomorphism on time scales ⋮ Stability in terms of two measures of dynamic system on time scales ⋮ Nonlinear boundary value problems for impulsive differential equations with causal operators ⋮ A new approach to practical stability of impulsive functional differential equations in terms of two measures ⋮ On relative \(\phi_{0}\)-stability of impulsive hybrid systems via perturbing Lyapunov functions

Cites Work

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• A variation of the Lyapunov second method to impulsive differential equations
• Generalized variation of parameters and stability of impulsive systems
• Hybrid systems on time scales
• On practical stability of perturbed differential systems
• On stability of perturbed impulsive differential systems
• Stability and instability for dynamic equations on time scales
• Inequalities on Time Scales: A Survey

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