An Entropy Formula for Time-Varying Discrete-Time Control Systems
نویسنده
چکیده
The results of this paper generalize the formula for the entropy of a transfer function to time-varying systems. This is done through the use of some results on spectral factorizations due to Arveson and properties of theW-transform which generalizes the usual Ztransform for time-varying systems. Using the formula defined, it is shown that for linear fractional transformations like those that arise in time-varyingH1 control, there exists a unique, bounded contraction which maximizes the entropy. This generalizes known results in the time-invariant case. Possible extensions are discussed, along with state-space formulae. This work was supported in part by the National Science Foundation, under contract ECS-9309387
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تاریخ انتشار 1994