Stability for Dynamic-systems With 1st Integrals - a Topological Criterion

Aeyels, D.;Sepulchre, Rodolphe
(1992) Systems & Control Letters — Vol. 19, n° 6, p. 461-465 (1992)

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  • Aeyels, D.
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  • Sepulchre, RodolpheUCLouvain
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Abstract
This paper provides a new criterion for stability of equilibrium points of topological flows in the presence of first integrals. The result generalizes a well known criterion for stability of such systems obtained by means of Liapunov theory.
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Aeyels, D., & Sepulchre, R. (1992). Stability for Dynamic-systems With 1st Integrals - a Topological Criterion. Systems & Control Letters, 19(6), 461-465. https://hdl.handle.net/2078.5/44664 (Original work published 1992)