https://www.mongoliajol.info/index.php/JASE-A/issue/feed 2023-07-03T02:06:10+00:00 Ulziibayar Vandandoo v_ulzii@must.edu.mn Open Journal Systems <p>published by the School of Applied Sciences, Mongolian University of Science and Technology.</p> <p><strong>Abstracting and indexing in <a title="Google Scholar" href="https://scholar.google.com/" target="_blank" rel="noopener">Google Scholar</a>, <a title="Mongolian Journal of Geography and Geoecology" href="https://app.dimensions.ai/" target="_blank" rel="noopener">Dimensions,</a> and <a title="EBSCO Discovery service" href="https://www.ebscohost.com/discovery" target="_blank" rel="noopener">EBSCO Discovery service</a></strong></p> https://www.mongoliajol.info/index.php/JASE-A/article/view/2684 2023-04-27T01:43:38+00:00 Enkhbat Rentsen renkhbat_r@mas.ac.mn Bayartugs Tamjav bayartugs@must.edu.mn Ulziibayar Vandandoo renkhbat_r@mas.ac.mn

<p>In this paper, we consider a multiplicative optimal control problem subject to a system of linear differential equation.It has been shown that product of two concave functions defined positively over a feasible set is quasiconcave. It allows us to consider the original problem from a view point of quasiconvex maximization theory and algorithm. Global optimality conditions use level set of the objective function and convex programming as subproblem. The objective function is product of two concave functions. We consider minimization of the objective functional. The problem is nonconvex optimal control and application of Pontriyagin’s principle does not always guarantee finding a global optimal control. Based on global optimality conditions, we develop an algorithm for solving the minimization problem globally.</p>

2023-07-03T00:00:00+00:00 Copyright (c) 2023 Enkhbat Rentsen, Bayartugs Tamjav, Ulziibayar Vandandoo,