The input-to-state stability condition and global stabilization of discrete-time systems

In this paper the discrete-time analog of the input-to-state stability condition introduced by Sontag [1989-1991]for the continuous-time case is presented together with two theorems dealing with global stabilization of discrete-time systems. The corresponding proofs are discrete analogs of those presented for the continuous-time case. It is shown that the assumptions of the main results for the discrete-time case are weaker than those imposed in the continuous-time case.<
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