Hamiltonian structures in optimal control theory
This paper deals with a systematic exposition of the principal results of the theory of piecewise smooth Hamiltonian systems. The invariant formulation of the maximum principles provides an interpretation of the extremals of a controlled dynamical system as integral trajectories of a piecewise smooth Hamiltonian system. Integrable piecewise smooth systems are proved to be equivalent to smooth integrable systems.
scientific article; zbMATH DE number 1431793