RT Journal Article ID 7c202178324ac85c A1 Kiseleva, Elena M. A1 Koriashkina, Larisa S. T1 On Solving and Properties of the Simplest Dynamical Problem of Optimal Set Partition Problem JF Journal of Automation and Information Sciences JO JAI(S) YR 2013 FD 2013-07-23 VO 45 IS 6 SP 1 OP 12 K1 mathematical statement K1 the simplest dynamical problem of optimal set partition, in n-dimensional Euclidean space K1 theorem about reduction of this problem K1 family of problems of optimal control K1 system AB We adduce mathematical statement of the simplest dynamical problem of optimal set partition in n-dimensional Euclidean space. Theorem about reduction of this problem to family of problems of optimal control of a system with lumped parameters was proved. Optimal solutions of potential variants of the problem were obtained in analytical form and investigated. PB Begell House LK https://www.dl.begellhouse.com/journals/2b6239406278e43e,5c31235370ddef1f,7c202178324ac85c.html