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Linear shift-invariant discrete-time systems satisfying the two-time-scale property are considered. A transformation matrix is formed and applied to the system to separate its slow and fast modes. Two subsystems are then defined, one for the slow modes and the other for the fast modes. An eigenvalue placement technique is proposed that will place the eigenvalues of the closed loop subsystems at desired...
Linear shift invariant large scale discrete-time multivariable systems whose inputs and outputs are strongly interacted, are considered. The designing of compensators to decouple these systems is presented.
The controllability and observability of linear shift-invariant discrete-time systems satisfying the two-time-scale property are considered. A method is proposed for designing two state feedback gains which are used for separate placement of slow and fast eigenvalues. This method is based on the separability of the slow and fast controls.
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