๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Stabilization of the motions of non-autonomous mechanical systems

โœ Scribed by O.A. Peregudova

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
380 KB
Volume
73
Category
Article
ISSN
0021-8928

No coin nor oath required. For personal study only.

โœฆ Synopsis

The problem of stabilizing the motions of mechanical systems that can be described by non-autonomous systems of ordinary differential equations is considered. The sufficient conditions for stabilizing of the motions of mechanical systems with assigned forces due to forces of another structure are obtained by constructing a vector Lyapunov function and a reference system. Examples of the solution of the problems of stabilizing the rotational motion of an axisymmetric satellite in an elliptic orbit, a non-tumbling gyro horizon, etc. are considered ยฉ2009

๐Ÿ“œ SIMILAR VOLUMES

Stabilization of the motions of mechanic
Stabilization of the motions of mechanical systems with non-holonomic constraints
โœ V.I. Matyukhin ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 605 KB

Mechanical systems possibly containing non-holonomic constraints are considered. The problem of stabilizing the motion of the system along a given manifold of its phase space is solved. A control law which does not involve the dynamical parameters of the system is constructed. The law is universal,

The exponential stability and stabilizat
The exponential stability and stabilization of non-autonomous mechanical systems with non-conservative forces
โœ A.A. Kosov ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 389 KB

The exponential stability of the unperturbed motion of a non-autonomous mechanical system with a complete set of forces, that is, dissipative, gyroscopic, potential and non-conservative positional forces, is investigated. The problem of stabilizing a nonautonomous system with specified non-conservat

The stability of the equilibrium positio
The stability of the equilibrium positions of non-linear non-autonomous mechanical systems
โœ A.Yu. Aleksandrov ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 387 KB

The problem of the stability of the equilibrium positions for a certain class of non-linear mechanical systems under the action of time-dependent quasipotential and dissipative-accelerating forces is considered. A method is proposed for constructing Lyapunov functions for these systems. Sufficient c