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Minimum entropy control of B-spline PDF systems with mean constraint

Yue, Hong and Zhou, Jinglin and Wang, Hong (2006) Minimum entropy control of B-spline PDF systems with mean constraint. Automatica, 42 (6). pp. 989-994. ISSN 0005-1098

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Abstract

For the B-spline approximation of the continuous probability density function (PDF), the relationships between the B-spline weights and entropy both in general and under the mean constraint have been analyzed. It provides the conditions under which the minimum entropy can be achieved subject to the mean constraint. The difference between the entropy of continuous and discrete distributions has also been clarified. A minimum entropy controller with the mean constraint is then developed and several simulations are performed to verify the main results.