Title :
Measures of controllability and observability and residues
Author :
Lindner, D.K. ; Babenreier, J. ; Hamdan, A.M.A.
Author_Institution :
Bradley Dept. of Electr. Eng., Virginia Polytech. Inst., Blacksburg, VA, USA
fDate :
6/1/1989 12:00:00 AM
Abstract :
The relationship between two measures of controllability and observability is derived, given a linear time-invariant system. Both of the measures are based on angles between various subspaces of the state space. It is shown that these measures can be used to bound the norm of the residues of the transfer function
Keywords :
controllability; linear systems; observability; controllability; linear system; observability; residues; state space; time-invariant system; transfer function; Automatic control; Control systems; Controllability; Linear systems; MIMO; Observability; Regulators; Robust control; Robust stability; Transfer functions;
Journal_Title :
Automatic Control, IEEE Transactions on