Exponential stability of nonlinear differential equations in the presence of perturbations or delays

DOI10.1016/J.CNSNS.2005.11.009zbMath1120.34039OpenAlexW2047712834MaRDI QIDQ876073

I. Maizurna, Götz Grammel

Publication date: 16 April 2007

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2005.11.009

zbMATH Keywords

nonautonomous systems

Mathematics Subject Classification ID

Robust stability (93D09) Stability theory of functional-differential equations (34K20) Ordinary differential inclusions (34A60) Stability of solutions to ordinary differential equations (34D20) Perturbations of ordinary differential equations (34D10)

Related Items (4)

Robust exponential stability and stabilizability of linear parameter dependent systems with delays ⋮ Delay distribution dependent stability criteria for interval time-varying delay systems ⋮ Note on exponential stability of certain nonlinear differential systems with time-varying delays ⋮ Robustness of exponential stability to singular perturbations and delays

Cites Work

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• Exponential stability of nonlinear differential delay equations
• On linearly perturbed linear systems
• On exponential stability of nonlinear time-varying differential equations
• Exponential stability and partial averaging.
• Robustness with respect to small delays for exponential stability of nonautonomous systems.
• Exponential stability of nonlinear time-varying differential equations and partial averaging
• Exponential stability for a class of nonlinear systems with time-delays in both state and controls

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