Applications of B-transform to Some Impulsive Control Problems
Mathematics and Computer Science
Volume 2, Issue 1, January 2017, Pages: 6-13
Received: Sep. 4, 2016; Accepted: Jan. 17, 2017; Published: Feb. 21, 2017
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Author
Benjamin Oyediran Oyelami, Department of Mathematics, Plateau State University, Bokkos, Nigeria
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Abstract
In this paper, B-transform is applied to some impulsive control models and closed solution forms for the models obtained. The problems solved via the B-transform are the third order linear impulsive control systems with bang-bang control, Impulsive delay control systems, Impulsive heat control systems, the Impulsive diffusion problem and the impulsive Gross berg control model. Simulation for the bang bang model show that the solutions are negative and positive in some for given time interval. The solutions also exhibit non-periodic and non-oscillatory behaviour in the given interval. The solutions of impulsive diffusion model possess singularities in given interval of simulation.
Keywords
Impulsive, Control Systems, Bang-Bang, B-transform
To cite this article
Benjamin Oyediran Oyelami, Applications of B-transform to Some Impulsive Control Problems, Mathematics and Computer Science. Vol. 2, No. 1, 2017, pp. 6-13. doi: 10.11648/j.mcs.20170201.12
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Copyright © 2017 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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