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IMA Journal of Mathematical Control and Information 1988 5(3):191-201; doi:10.1093/imamci/5.3.191
© 1988 by Institute of Mathematics and its Applications
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The Numerical Solution of the Linear Regulator Problem with Positive Control

H. SISSAOUI, W. D. COLLINS and P. J. HARLEY

Department de Mathématiques, Université d'Annaba Annaba, Algeria
Department of Applied & Computational Mathematics, University of Sheffield Sheffield S10 2TN

The standard linear regulator problem with positive control is solved using a minimum principle, a maximum principle, and the hypersphere inequality method. Comparisons are made between the numerical results produced, to examine the theoretical superiority of the hypersphere method.


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