✦ LIBER ✦

The stability and stabilization of the steady motions of a class of non-holonomic mechanical systems

✍ Scribed by V.I. Kalenova; V.M. Morozov; M.A. Salmina

Publisher: Elsevier Science
Year: 2004
Tongue: English
Weight: 611 KB
Volume: 68
Category: Article
ISSN: 0021-8928
DOI: 10.1016/j.jappmathmech.2004.11.003

No coin nor oath required. For personal study only.

✦ Synopsis

The stability of the steady motions and the controllability of a class of non-holonomic mechanical systems under the action of potential and control forces are investigated. A problem of the stability of the steady motion of a three-wheeled vehicle, taking into account the inertia of the wheels, which is an example of systems of this class, is considered.

📜 SIMILAR VOLUMES

The stability of steady motions of non-h

The stability of steady motions of non-holonomic chaplygin systems

✍ V.I. Kalenova; V.M. Morozov 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 570 KB

A stability theorem is established for steady motions of non-holonomic Chaplygin systems, with cyclic coordinates, acted upon by potential and dissipative forces, generalizing a previously proved theorem [ 11. The theorem enables rigorous sufficient conditions for the stability of steady motions of

Stabilization of the stationary motions

Stabilization of the stationary motions of non-holonomic mechanical systems

✍ B. Atazhanov; E.M. Krasinskaya 📂 Article 📅 1988 🏛 Elsevier Science 🌐 English ⚖ 480 KB

Stabilization of the motions of mechanic

Stabilization of the motions of mechanical systems with non-holonomic constraints

✍ V.I. Matyukhin 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 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,

Controllability and observability in the

Controllability and observability in the problem of stabilizing steady motions of non-holonomic mechanical systems with cyclic coordinatest

✍ V.I. Kalenova; V.M. Morozov; Ye.N. Sheveleva 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 653 KB

The approach to the solution of stabilization problems for steady motions of holonomic mechanical systems [ 1,2] based on linear control theory, combined with the theory of critical cases of stability theory, is used to solve the analogous problems for nonholonomic systems. It is assumed that the co

The stability and stabilization of the e

The stability and stabilization of the equilibrium positions of non-holonomic systems

✍ A.Ya. Krasinskii 📂 Article 📅 1988 🏛 Elsevier Science 🌐 English ⚖ 699 KB

The stability and stabilization of the m

The stability and stabilization of the motion of non-conservative mechanical systems

✍ S.A. Agafonov 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 260 KB

Two stability problems are solved. In the first, the stability of mechanical systems, on which dissipative, gyroscopic, potential and positional non-conservative forces (systems of general form) act, is investigated. The stability is considered in the case when the potential energy has a maximum at