Diagonal riccati stability of a class of time-delay systems

Результат исследований: Научные публикации в периодических изданияхстатья

Выдержка

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.

Язык оригиналаанглийский
Страницы (с-по)167-173
Число страниц7
ЖурналCybernetics and Physics
Том7
Номер выпуска4
СостояниеОпубликовано - 1 янв 2018

Отпечаток

Formation Control
Population dynamics
Lyapunov-Krasovskii Functional
Time-delay Systems
Population Dynamics
complex systems
Mechanical Systems
Large scale systems
Stability Analysis
Complex Systems
Time delay
Subsystem
time lag
Necessary Conditions
Sufficient Conditions
Interaction
interactions
Model
Class

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keywords = "Diagonal stability, Krasovskii functional, Lyapunov, Multiagent system, Population dynamics, Time-delay system",
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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.

Результат исследований: Научные публикации в периодических изданияхстатья

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

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M3 - Article

AN - SCOPUS:85063036608

VL - 7

SP - 167

EP - 173

JO - Cybernetics and Physics

JF - Cybernetics and Physics

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