Exponential convergence of nonlinear time-varying differential equations

DOI10.3103/S1068362315040020zbMath1341.34058OpenAlexW1140084149MaRDI QIDQ260348

F. Blanchet-Sadri, M. Dambrine

Publication date: 21 March 2016

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1068362315040020

zbMATH Keywords

Lyapunov functiontime-varying systemsconverse theorempractical uniform exponential stability

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Nonautonomous smooth dynamical systems (37C60)

Related Items (3)

Unnamed Item ⋮ Practical exponential stability of nonlinear nonautonomous differential equations under perturbations ⋮ Some results on the practical \(\alpha\)-exponential stability of nonlinear systems

Cites Work

• Unnamed Item
• Practical stability in terms of two measures with initial time difference
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• On the stability of nonlinear control systems with uncertainty
• Norm estimates for fundamental solutions of neutral type functional differential equations
• Stability results for higher dimensional equations on time scales
• Uniform exponential practical stability of impulsive perturbed systems
• Practical stability of nonlinear differential equation with initial time difference
• Practical exponential stability of perturbed triangular systems and a separation principle
• On converse Lyapunov theorems for ISS and iISS switched nonlinear systems

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