Stability analysis based on nonlinear inhomogeneous approximation

DOI10.1134/S0001434611110198zbMath1286.34078MaRDI QIDQ2435875

Alexander Yurjevich Aleksandrov, Aleksey Victorovich Platonov

Publication date: 20 February 2014

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Lyapunov functionasymptotic stabilitynonlinear approximationhomogeneous functioncascade system

Mathematics Subject Classification ID

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

Related Items (1)

Exponential stability and boundedness of nonlinear perturbed systems by unbounded perturbation terms

Cites Work

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• Global stabilization of nonlinear cascade systems
• Stability of solutions of nonlinear systems with unbounded perturbations
• Tensor invariants of quasihomogeneous systems of differential equations, and the Kovalevskaya-Lyapunov asymptotic method
• Asymptotic stability with respect to a first approximation in the broad sense
• Aggregation and stability analysis of nonlinear complex systems
• Convex Analysis
• Growth rate conditions for uniform asymptotic stability of cascaded time-varying systems

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