On a generalization of the Dirac bracket in the De Donder-Weyl   Hamiltonian formalism
  The elements of the contrained dynamics algorithm in the De Donder-Weyl (DW) Hamiltonian theory for degenerate Lagrangian theories are discussed. A generalization of the Dirac bracket to the DW Hamiltonian theory with second class constraints (defined in the text) is presented. 
I. Kanatchikov