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Configuration Controllability of Simple Mechanical Control Systems
In this paper we present a definition of "configuration controllability" for mechanical systems whose Lagrangian is kinetic energy with respect to a Riemannian metric minus potential energy. A computable test for this new version of controllability is derived. This condition involves an object which we call the symmetric product. Of particular interest is a definition of "equilibrium controllability" for which we are able to derive computable sufficient conditions. Examples illustrate the theory
Configuration Controllability of Simple Mechanical Control Systems
In this paper we present a definition of 'configuration controllability' for mechanical systems whose Lagrangian is kinetic energy with respect to a Riemannian metric minus potential energy. A computable test for this new version of controllability is derived. This condition involves an object that we call the symmetric product. Of particular interest is a definition of 'equilibrium controllability' for which we are able to derive computable sufficient conditions. Examples illustrate the theory
Configuration Controllability of Simple Mechanical Control Systems
In this paper we present a definition of "configuration controllability"
for mechanical systems whose Lagrangian is kinetic energy with
respect to a Riemannian metric minus potential energy. A computable
test for this new version of controllability is also derived. This
condition involves a new object which we call the {\em symmetric
product}. Of particular interest is a definition of "equilibrium controllability"
for which we are able to derive computable sufficient conditions.
Examples illustrate the theory
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