Decoupling and determination of the inverse for time-varying multivariable systems

Decoupling by state-variable feedback and forming of the inverse has been done for multivariable systems with constant coefficients. In this letter, the theory is extended to linear time-varying systems. For this, general conditions are formulated when a time-varying multivariable systems can be decoupled. Further, the matrices are given for the decoupling. The inverse of a linear time-varying multivariable systems is also determined.