Second order conditions for optimality and local controllability of discrete-time systems Articles uri icon

authors

  • BARBERO LI√ĎAN, MARIA
  • JAKUBCZYK, B.

publication date

  • January 2015

start page

  • 352

end page

  • 377

issue

  • 1

volume

  • 53

International Standard Serial Number (ISSN)

  • 0363-0129

Electronic International Standard Serial Number (EISSN)

  • 1095-7138

abstract

  • We study local controllability and optimal control problems for invertible discrete-time systems. We present second order necessary and sufficient conditions for optimality and for local controllability. The conditions are stated in geometric terms, using vector fields naturally associated to the system. The Hessian of the optimal problem is computed in terms of Lie brackets of vector fields of the system.