Exponential stability and partial averaging.

DOI10.1016/S0022-247X(03)00290-7zbMath1035.34040MaRDI QIDQ1404915

I. Maizurna, Götz Grammel

Publication date: 25 August 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

exponential stabilityordinary differential equationsperturbationsaveraging

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Perturbations of ordinary differential equations (34D10) Averaging method for ordinary differential equations (34C29) Singular perturbations for ordinary differential equations (34E15)

Related Items (3)

Exponential stability of nonlinear differential equations in the presence of perturbations or delays ⋮ A sufficient condition for the uniform exponential stability of time-varying systems with noise. ⋮ Weak exponential stability for time-periodic differential inclusions via first approximation averaging

Cites Work

• An averaging theorem for time-periodic degree zero homogeneous differential equations
• Slow selection analysis of genetic traits in synchronized populations
• On exponential stability of nonlinear time-varying differential equations
• Exponential stability of nonlinear time-varying differential equations and partial averaging
• Exponential stability via the averaged system
• Semi-global practical asymptotic stability and averaging
• Stability in the presence of singular perturbations
• Averaging methods in nonlinear dynamical systems
• Singularly perturbed differential inclusions: An averaging approach

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