0 0 votes A linear time-invariant discrete-time system is described by the vector matrix difference equation $$ x(k+1)=F \underline{X}(k)+G \underline{u}(k) $$ Where $\underline{X}(k)$ is the state vector, $F$ is an $n \times n$ constant matrix, $G$ is a $(n \times r)$ constant matrix and $\underline{u}(k)$ is the control vector. The state transition matrix of the system is given by inverse $Z$-transform of $ZI - F$ $(Z I-F) Z$ $(Z I-F)^{-1} G$ $(Z I-F)^{-1} Z$ Control Systems gate1991-ec linear-time-invariant-systems state-transition-diagram sequential-circuits discrete-time-signals + – admin 349 views answer comment Share Follow Add Sync Questions Print 0 reply Please log in or register to add a comment.
