Solution of time optimal and deadbeat control problems for linear discrete homogeneous dynamical input-state systems
In this article two time optimal functionals for linear discrete dynamical system input-state are defined. Belonging of the functionals to the class of Lyapunov-Bogdanov functionals and coincidence of spectral families of the functionals with state space flags are proved. Some properties of linear discrete homogeneous dynamical input-state systems are studied. Time optimal and deadbeat control problems for linear discrete homogeneous dynamical input-state systems are solved.