lnvariant hyperplanes for linear dynamical systems

In certain problems associated with the control of linear dynamical systems, the concept of invariant hyperplanes in the system state space plays an important role [1]-[8]. This short paper gives conditions for the existence of invariant hyperplanes for linear dynamical systems and describes some geometric properties of these hyperplanes. In addition, some relationships between invariant hyperplanes and the concepts of controllability and observability are discussed.