Geodesic
Lyapunov Direct Method for Semidynamical Systems
Matematičeskie zametki, Tome 100 (2016) no. 4, pp. 531-543

Voir la notice de l'article provenant de la source Math-Net.Ru

The stability of closed invariant sets of semidynamical systems defined on an arbitrary metric space is analyzed. The main theorems of Lyapunov's second method for the uniform stability and uniform asymptotic stability (local and global) are stated. Illustrative examples are given.
Keywords: semidynamical system, Lyapunov function, stability.
Mots-clés : invariant set 
@article{MZM_2016_100_4_a5,
     author = {B. S. Kalitin},
     title = {Lyapunov {Direct} {Method} for {Semidynamical} {Systems}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {531--543},
     publisher = {mathdoc},
     volume = {100},
     number = {4},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2016_100_4_a5/}
}
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B. S. Kalitin. Lyapunov Direct Method for Semidynamical Systems. Matematičeskie zametki, Tome 100 (2016) no. 4, pp. 531-543. http://geodesic.mathdoc.fr/item/MZM_2016_100_4_a5/