Maxwell strata in Euler ’ s elastic problem ∗

  • Yu. L. Sachkov
  • Published 2007
The classical Euler's problem on stationary configurations of elastic rod with fixed endpoints and tangents at the endpoints is considered as a left-invariant optimal control problem on the group of motions of a two-dimensional plane E(2). The attainable set is described, existence and boundedness of optimal controls are proved. Extremals are parametrized… (More)