Stabilizing the programmed motion of a rigid body with a cavity filled with viscous fluid

DOI10.1134/S1064230717050021zbMath1385.93062OpenAlexW2763395690MaRDI QIDQ1745871

S. P. Bezglasnyi

Publication date: 18 April 2018

Published in: Journal of Computer and Systems Sciences International (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064230717050021

zbMATH Keywords

stability analysisasymptotic stabilityrigid bodyviscous fluidLyapunov's second methodstabilizing feedback controlarbitrary programmed motionLyapunov functions with sign-constant derivatives

Mathematics Subject Classification ID

Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Asymptotic stability in control theory (93D20) Control of mechanical systems (70Q05) Synthesis problems (93B50) Control/observation systems governed by ordinary differential equations (93C15)

Cites Work

• On the asymptotic stability and instability of the zeroth solution of a non-autonomous system
• Motion evolution of a symmetric rigid body having a spherical cavity filled with a viscous fluid
• Time-optimal damping of rotations of a rigid body with internal degrees of freedom with respect to speed
• Optimal braking of the rotations of a solid body with internal degrees of freedom
• Optimal deceleration of rotation of a dynamically symmetric body with a cavity filled with viscous liquid in a resistive medium
• Evolution of motion of a rigid body with a fixed point and an ellipsoidal cavity filled with a viscous fluid
• Optimal deceleration of rotations of an asymmetric body with a cavity filled with viscous fluid in a resistive medium
• Motion of a rigid body with cavities filled with viscous fluid at small Reynolds numbers
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