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Institutional Repository [SANDBOX]
Technical University of Crete
Technical University of Crete
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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 | ||
| License |
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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 | ||
| Appears in Collections |
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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