scholarly journals Nondegenerate abnormal control in sub-riemannian problem with growth vector (2, 3, 5, 8)

2017 ◽  
Vol 8 (4) ◽  
pp. 179-195
Author(s):  
Elena Sachkova ◽  
Keyword(s):  
2019 ◽  
Vol 13 (3) ◽  
pp. 309-320
Author(s):  
I. E. Bryakova ◽  
Keyword(s):  

2020 ◽  
Vol 211 (10) ◽  
pp. 1460-1485
Author(s):  
Yu. L. Sachkov ◽  
E. F. Sachkova

2017 ◽  
Vol 53 (3) ◽  
pp. 352-365 ◽  
Author(s):  
Yu. L. Sachkov ◽  
E. F. Sachkova
Keyword(s):  

Ichnos ◽  
1991 ◽  
Vol 1 (4) ◽  
pp. 261-276 ◽  
Author(s):  
Richard G. Bromley ◽  
Nils‐Martin Hanken

Author(s):  
Yu. L. Sachkov ◽  
E. F. Sachkova

Abstract We describe all Carnot algebras with growth vector (2, 3, 5, 6), their normal forms, an invariant that separates them, and a change of basis that transforms such an algebra into a normal form. For each normal form, Casimir functions and symplectic foliations on the Lie coalgebra are computed. An invariant and normal forms of left-invariant (2, 3, 5, 6)-distributions are described. A classification, up to isometries, of all left-invariant sub-Riemannian structures on (2, 3, 5, 6)-Carnot groups is obtained.


2018 ◽  
Vol 13 (4) ◽  
pp. 143-152
Author(s):  
Ievgen Balatskyi ◽  
Vita Andrieieva ◽  
Olesia Solodovnik ◽  
Volodymyr Lypchanskyi

In an unstable financial and economic, political and social context, a number of Ukrainian banks demonstrate downtrends in their profitability, liquidity, and solvency rates. With that, the financial health and the growth vector of the whole banking sector of the country in the strategic perspective precisely depends on the quality of measures taken to ensure the financial security of a banking institution.The article analyzes the concept of financial security of a bank from the standpoint of protective, dynamic, resource-functional, competitive and systemic approaches. The authors substantiate that the financial security of the banking system as a whole and that of an individual bank is an integral part of the financial security of the country. In addition, three methodological approaches to assessing the financial security of the country's banking sector are identified and described, namely instrumental, system and target-oriented and criterial ones. Based on theoretical and methodological analysis of scientific works and methodological approaches, a system of research and methodological support for the bank's financial security is proposed.


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