Control of static mechanical systems. (English) Zbl 0553.93044

Tulczyjew, W. M.

Dynamical systems and microphysics, control theory and mechanics, Proc. 3rd Int. Semin., Udine/Italy 1983, 359-377 (1984).

[For the entire collection see Zbl 0547.00053.]
Statics of mechanical systems is formulated in terms of the geometry of subsets of cotangent bundles of configuration manifolds. Reciprocal systems are represented by Lagrangian submanifolds. Coupling of static systems and control of static systems by external devices are discussed.

MSC:

93C99	Model systems in control theory
37J99	Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
70Q05	Control of mechanical systems
37C75	Stability theory for smooth dynamical systems

Keywords:

Statics of mechanical systems; configuration manifolds; Reciprocal systems

Citations:

Zbl 0547.00053