Lyapunov theory and perturbation of stable and asymptotically stable systems

DOI10.1016/0022-0396(74)90082-5zbMath0346.34037OpenAlexW2004368839MaRDI QIDQ1233555

James A. Yorke, Shui-Nee Chow

Publication date: 1974

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(74)90082-5

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Perturbations of ordinary differential equations (34D10)

Related Items (16)

Uniform asymptotic stability in perturbed differential equations ⋮ Stochastic instability and Liapunov stability ⋮ Differential inequalities and the Okamura function ⋮ Realization of ε-invariance using impulse control in systems of delay equations ⋮ Uniform asymptotic stability in impulsive perturbed systems of differential equations ⋮ Stability of impulsively perturbed systems ⋮ Uniform approximation of trajectories maximal to the right under the condition of asymptotic integral stability ⋮ The boundedness and extendability of differential systems under integral perturbation ⋮ On the converse theorem for integral stability in functional differential equations ⋮ On the eventual stability of perturbed non-linear systems ⋮ Uniform asymptotic stability of impulsively perturbed nonlinear differential equations ⋮ Comparison methods for impulsively perturbed delay-differential control systems ⋮ Perturbation theorems for functional differential equations with infinite delay via limiting equations ⋮ The topological dynamics of perturbed differential equations ⋮ A scaling law: How an attractor's volume depends on noise level ⋮ Existence, uniqueness, and stability theorems for bounded solutions of nonlinear differential systems

Cites Work

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• Contributions to stability theory
• Perturbing uniform asymptotically stable nonlinear systems
• Absolutely stable differential equations which are not integrally stable
• Integral stability
• Stability under persistent disturbances
• Perturbing almost periodic differential equations
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations

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