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Diagonal riccati stability of a class of time-delay systems. / Aleksandrov, Alexander; Ковалева, Надежда Олеговна.
в: Cybernetics and Physics, Том 7, № 4, 01.01.2018, стр. 167-173.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Diagonal riccati stability of a class of time-delay systems
AU - Aleksandrov, Alexander
AU - Ковалева, Надежда Олеговна
PY - 2018/1/1
Y1 - 2018/1/1
N2 - A complex system describing interaction of subsystems of the second order with delay in connections between them is studied. Necessary and sufficient conditions of the existence of a diagonal Lyapunov– Krasovskii functional for the considered system are derived. The obtained results are applied for the stability analysis of a mechanical system and a model of population dynamics. In addition, it is shown that they can be used in a problem of formation control.
AB - A complex system describing interaction of subsystems of the second order with delay in connections between them is studied. Necessary and sufficient conditions of the existence of a diagonal Lyapunov– Krasovskii functional for the considered system are derived. The obtained results are applied for the stability analysis of a mechanical system and a model of population dynamics. In addition, it is shown that they can be used in a problem of formation control.
KW - Diagonal stability
KW - Krasovskii functional
KW - Lyapunov
KW - Multiagent system
KW - Population dynamics
KW - Time-delay system
UR - http://www.scopus.com/inward/record.url?scp=85063036608&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:85063036608
VL - 7
SP - 167
EP - 173
JO - Cybernetics and Physics
JF - Cybernetics and Physics
SN - 2223-7038
IS - 4
ER -
ID: 41079790