A GENERAL SOLUTION TO THE OUTPUT-ZEROING PROBLEM FOR DISCRETE-TIME MIMO LTI SYSTEMS: Signal Processing, Systems Modelling and Control

摘要

The problem of zeroing the output in an arbitrary linear discrete-time system S(A,B,C,D) with a nonvanishing transfer-function matrix is discussed and necessary conditions for output-zeroing inputs are formulated. All possible real-valued inputs and real initial conditions which produce the identically zero system response are characterized. Strictly proper and proper systems are discussed separately.