Birth date: 5.05.1949
Phone: +7 (383) 363 46 17
Fax: +7 (383) 333 25 98
E-mail: ,
Keywords: admissible control, optimal control, functional, numerical methods.
UDC: 517.926, 519.626, 519.626.2, 517.27, 517.97
MSC: 49J15, 49M05

Subject:

optimal control problems.

Main publications:

1. G. V. Shevchenko, “Linear optimal control problem with convex homogeneous functional”, Fundam. Prikl. Mat., 5:3 (1999), 757–763      
2. G. V. Shevchenko, “Numerical algorithm for a linear time-optimal control problem”, Comput. Math. Math. Phys., 42:8 (2002), 1123–1134      
3. G. V. Shevchenko (diss.),, Metod simpleksnykh pokrytii dlya resheniya lineinykh zadach optimalnogo upravleniya (Bibl.:Aleksandrov V.M. Avtomatika i telemekhanika. 1998. N12. S. 3-13. Aleksandrov V.M. ZhVMMF. 1998. T. 38. #6. S. 918-931. Aleksandrov V.M. ZhVMMF, 1999. T. 39. # 3. S. 418-430. Aleksandrov V.M. Fund. i prikl. mat. 2000. T. 6. # 1. S. 23-42. Shevchenko G.V. ZhVMMF. 2002. T. 42. # 8. S. 1184-1196. Shevchenko G.V. Fund. i prikl. mat. 1999. T. 5. # 3. S. 757-763.), [Shevchenko G.V. Iteratsionnyi metod resheniya lineinoi zadachi minimizatsii raskhoda topliva// Optimizatsiya, upravlenie, intellekt. Irkutsk: Ir. VTs SO RAN, 1997. # 2. S. 61-66.], 2002 http://tekhnosfera.com/metod-simpleksnyh-pokrytiy-dlya-resheniya-lineynyh-zadach-optimalnogo-upravleniya#ixzz4R11eop1S
4. G. V. Shevchenko, “Numerical method for solving a nonlinear time-optimal control problem with additive control”, Comput. Math. Math. Phys., 47:11 (2007), 1768–1778            
5. G. V. Shevchenko, “Method to determine an optimal control in the minimum of resource consumption for the nonlinear stationary systems”, Autom. Remote Control, 70:4 (2009), 672–682                
6. G. V. Shevchenko, “A numerical method for solving an optimal control problem with fixed endpoints of trajectories and a convex functional”, J. Appl. Industr. Math., 6:4 (2012), 480–489        
7. G. V. Shevchenko, “Numerical solution of a nonlinear time-optimal control problem”, Comput. Math. Math. Phys., 51:4 (2011), 537–549              
8. G. V. Shevchenko, “Computational solution of time-optimal control problem for linear systems with delay”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2012, no. 2, 100–105  
9. G. V. Shevchenko, “Minimization of a convex functional in a linear system of delay differential equations with fixed ends”, Comput. Math. Math. Phys., 53:6 (2013), 691–701                
10. G. V. Shevchenko, “A numerical method to minimize resource consumption by linear systems with constant delay”, Autom. Remote Control, 75:10 (2014), 1732–1742            

Recent publications

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Organisations:

• Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk