Geodesic
About the criteria of asymptotic stability of dynamical systems
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2022), pp. 30-38

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The work is devoted to the qualitative theory of stability of dynamical systems on a metric space. A number of stably similar properties of closed invariant sets are presented, on the basis of which equivalent criteria for their asymptotic stability in semi-dynamical systems are formulated.
Keywords: closed invariant set, dynamical system, stability, pseudo-stability, asymptotic stability. 
@article{IVM_2022_9_a2,
     author = {B. S. Kalitine},
     title = {About the criteria of asymptotic stability of dynamical systems},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {30--38},
     publisher = {mathdoc},
     number = {9},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2022_9_a2/}
}
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B. S. Kalitine. About the criteria of asymptotic stability of dynamical systems. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2022), pp. 30-38. http://geodesic.mathdoc.fr/item/IVM_2022_9_a2/