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Entropy stability of discrete dynamic systems

Yannis Phillis

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URI: http://purl.tuc.gr/dl/dias/FC4B66F0-8EF3-4CCE-A607-6F64BEE2BB6D
Year 1982
Type of Item Peer-Reviewed Journal Publication
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Bibliographic Citation Υ. A. Phillis, "Entropy stability of discrete dynamic systems," Int. J. of Control, vol. 34, no. 1,pp. 159-171, 1981.doi :10.1080/00207178108922520 https://doi.org/10.1080/00207178108922520
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Summary

The problem of stochastic stability of discrete dynamic systems is examined from the point of view of entropy. Entropy, as it was defined by Shannon, is a measure of average uncertainty of the system state. Conditions are found which guarantee reduction of the entropy. Several classes of systems are considered : linear with constant or time-varying coefficients and non-linear systems. The necessary and sufficient conditions are rather weak because of the generality of entropy, but simple in nature. The sufficient conditions are strong but more severe.

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