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Control of static mechanical systems. (English) Zbl 0553.93044

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

Citations:

Zbl 0547.00053