On the notions of dilation , controllability , observability , and minimality in the theory of dissipative scattering linear nD systems

  • Dmitriy S. Kalyuzhniy
  • Published 2000
We propose two non-equivalent approaches to definitions of dilation, controllability, observability, and minimality for certain type of discrete time-invariant linear nD systems in Hilbert spaces, and discuss interrelations of these notions in both approaches, and their applications in the theory of dissipative scattering linear nD systems. We answer… (More)