Preservation of stability of dynamical systems under homomorphisms

DOI10.1134/S0012266109120015zbMath1195.34078OpenAlexW2075265120MaRDI QIDQ2269343

Yanyan Li

Publication date: 16 March 2010

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

Full work available at URL: https://doi.org/10.1134/s0012266109120015

zbMATH Keywords

homomorphismspreservation of stabilityabstract dynamical systemssystems of motions

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Stability of solutions to ordinary differential equations (34D20) Stability theory for smooth dynamical systems (37C75)

Related Items (2)

Change-of-bases abstractions for non-linear hybrid systems ⋮ On the stability of a set of systems of impulsive equations

Cites Work

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• Stability of solutions in different variables
• Optimization techniques for state-constrained control and obstacle problems
• Stability theory by Liapunov's direct method
• Stability and attractivity of solutions of differential equations with impulses at fixed times
• Impulsive stabilization of nonlinear systems
• Über die Invarianz der Stabilität bei einem Phasenraum-Homöomorphismus.

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