TY - JOUR

T1 - Stability analysis of gyroscopic systems with discrete and distributed delays

AU - Aleksandrov, Alexander

AU - Zhan, Jingyuan

AU - Semenov, Aleksandr

PY - 2019/1/1

Y1 - 2019/1/1

N2 - This paper provides stability analysis results for a linear mechanical system with a large parameter at the vector of gyroscopic forces and with delay in positional forces. Both cases of discrete and distributed delay are studied. Using the decomposition method and Lyapunov–Krasovskii functionals, conditions are found under which delay does not disturb the asymptotic stability of the considered system. The effectiveness of the obtained results is illustrated by a simulation example.

AB - This paper provides stability analysis results for a linear mechanical system with a large parameter at the vector of gyroscopic forces and with delay in positional forces. Both cases of discrete and distributed delay are studied. Using the decomposition method and Lyapunov–Krasovskii functionals, conditions are found under which delay does not disturb the asymptotic stability of the considered system. The effectiveness of the obtained results is illustrated by a simulation example.

KW - Aggregation

KW - Asymptotic stability

KW - Decomposition

KW - Delay

KW - Gyroscopic system

KW - Large parameter

KW - Lyapunov direct method

UR - http://www.scopus.com/inward/record.url?scp=85068435964&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:85068435964

VL - 8

SP - 12

EP - 17

JO - Cybernetics and Physics

JF - Cybernetics and Physics

SN - 2223-7038

IS - 1

ER -