Abstract
In this paper, two results with respect to the noninteracting control problem in multivariable linear systems are showed.
The first half shows that the noninteracting control problem is a variational one. Necessary and sufficient conditions for the linear (time variant and time invariant) multivariable control system to be the noninteracting control system are shown with the aid of variational method used in the theory of invariance.
The second half shows that it is possible to obtain the noninteracting control system by state variable feedback. Sufficient conditions for the noninteracting control system to be constructed by state variable feedback are obtained by using the concept of relative orders.
