lnvariant hyperplanes for linear dynamical systems
- 1 January 1966
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 11 (1) , 113-116
- https://doi.org/10.1109/tac.1966.1098262
Abstract
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.Keywords
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