Stability for dynamical systems with first integrals: A topological criterion

DOI10.1016/0167-6911(92)90077-6zbMath0763.34041OpenAlexW2007634112MaRDI QIDQ1205733

Dirk Aeyels, Rodolphe J. Sepulchre

Publication date: 1 April 1993

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-6911(92)90077-6

zbMATH Keywords

perturbationsfirst integralsequilibrium pointcontinuous flowasymptotically stable equilibrium

Mathematics Subject Classification ID

Stability of solutions to ordinary differential equations (34D20) Perturbations of ordinary differential equations (34D10) Dynamical systems and ergodic theory (37-XX)

Related Items (8)

A stability criterion for periodic systems with first integrals ⋮ First and invariant integrals in stability problems. ⋮ On the theorem for nonasymptotic stability in the direct Lyapunov method. ⋮ Synchronization of a class of strictly different chaotic oscillators ⋮ Semidefinite Lyapunov functions stability and stabilization ⋮ Adaptive synchronization of high-order chaotic systems: A feedback with low-order parametrization ⋮ Robust control of a class of uncertain non-linear systems in strict-feedback form ⋮ On the stability of nonautonomous systems

Cites Work

• Stabilization of rigid body dynamics by the Energy-Casimir method
• Nonlinear control systems: An introduction
• On stabilization by means of the Energy-Casimir method
• Stability theory by Liapunov's direct method
• On the construction of the liapunov functions from the integrals of the equations for perturbed motion

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