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Discrete-time counterparts of the RL and RC multipliers

The use of multipliers is an important technique for absolute stability analysis. In continuous-time the RL and RC multipliers preserve the positivity of memoryless and monotone nonlinearities. We classify their discrete-time counterparts and analyse their phase properties. The classification of the discrete-time multipliers is richer than that of their continuous-time counterparts; their phase properties are less flexible.