Optimal control of systems with distributed parameters, asymptotic analysis of variational problems, homogenization of optimization problems, non-scalar optimization in normed spaces.
Biography
Graduated from Faculty of Technical Sybernetics of Dnipropetrovsk State Technical University (DIIT) in 1984 (department of applied mathematic). Ph.D. thesis was defended in 1989. D.Sci. thesis was defended in 1998. In 1998-2000 Professor of Technical Cybernetics Department of Dnipropetrovs’k State Technical University. 2000-2004 Team leader of Tokyo Institute of Super Compression Technology. 2000-2006 Head of Applied Mathematics Department of Dnipropetrovs’k National Technical University. Since 2006 Full Professor of Differential Equations Department of Dnipropetrovs’k National University.
The Prize and Diploma of the Ukrainian National Academy of Science in 1998 for a series of papers on the homogenization of optimal control problems for systems with distributed parameters. Soros Associated Professor (1996).
Main publications:
Ciro D'Apice, Umberto De Maio, Peter I. Kogut, “Suboptimal boundary controls for elliptic equation in critically perforated domain”, Ann. Inst. H. Poincari Anal. Non Linéaire, 25:6 (2008), 1073–1101
Ciro D'Apice, Umberto De Maio, Peter I. Kogut, “Boundary velocity suboptimal controls of incompressible flow in cylindrically perforated domain”, Discrete Contin. Dyn. Syst. Ser. B, 11:2 (2009), 283–314
Ciro D'Apice, Umberto De Maio, Peter I. Kogut, “Gap phenomenon in the homogenization of parabolic optimal control problems”, IMA J. Math. Control Inform., 25:4 (2008), 461–489
Peter I. Kogut, Günter Leugering, “Asymptotic analysis of state constrained semilinear optimal control problems”, Journal of Optimization Theory and Applications (JOTA), 135:2 (2007), 301–321
Peter I. Kogut, Günter Leugering, “Homogenization of optimal control problems for one-dimensional elliptic equations on periodic graph”, ESAIM Control Optim. Calc. Var., 15:2 (2009), 471–498
V. V. Gotsulenko, P. I. Kogut, “Boundary control of a laminar flow of a viscous incompressible fluid in the generalized Couette cell. The asymptotic approach”, Avtomat. i Telemekh., 2007, no. 2, 63–80; Autom. Remote Control, 68:2 (2007), 267–283
Contact us: