Title :
Input and output degrees of freedom of linear systems
fDate :
12/1/1968 12:00:00 AM
Abstract :
The input and output degrees of freedom of a system are defined as the minimum number of system inputs required to excite all system modes and the minimum number of system outputs required to observe all system modes, respectively. An explicit procedure is given for determining these degrees of freedom. The usefulness of this information is considered and an example is given.
Keywords :
Linear systems, time-invariant continuous-time; Bismuth; Control systems; Controllability; Eigenvalues and eigenfunctions; Equations; Linear systems; Matrix decomposition; Observability; State estimation; State-space methods;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.1968.1099053