Pole Assignment of Linear Discrete-Time Periodic Systems in Specified Discs Through State Feedback

The problem of pole assignment, also known as an eigenvalue assignment, in linear discrete-time periodic systems in discs was solved by a novel method which employs elementary similarity operations. the former methods tried to assign the points inside the unit circle while preserving the stability of the discrete time periodic system. nevertheless, now we can obtain the location of eigenvalues in the specified discs, randomly. an illustrative example with random system matrices is presented in order to show the effectiveness of the method.