Optimal Impulsive Control Problem with Application to Human Immunodeficiency Virus Treatment

S. H. Hou () and K. H. Wong ()
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S. H. Hou: The Hong Kong Polytechnic University
K. H. Wong: University of the Witwatersrand

Journal of Optimization Theory and Applications, 2011, vol. 151, issue 2, No 10, 385-401

Abstract: Abstract This paper describes an optimal control problem involving a nonlinear impulsive control system, together with a nonlinear objective function and nonlinear control and state constraints. Both the magnitude of the impulses as well as the instants at which the impulses are applied can be regarded as decision variables. A computational method is described for solving the problem. To illustrate the usefulness of our method for real-life applications, we solve a Human Immunodeficiency Virus (HIV) treatment problem. The numerical results obtained clearly illustrate the efficiency of our method.

Keywords: Impulsive system; Magnitude of the impulse; Instants of the impulse; Gradient of the objective and the constraint function; Computational approach; Application to HIV treatment (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s10957-011-9833-3

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