05.13.18 (Mathematical modeling, numerical methods, and the program systems)
Birth date:
18.02.1937
E-mail:
, ,
Keywords:
optimal control,
control theory,
computing mathematics.
Subject:
Introduced in the theory of optimal processes is the notion of varing with the initial conditions constraints on the components of the control vector. The method of forming quasi-optimal control has been elaborated according to which the optimal control is a function of the initial values of phase coordinates taken with piecewise constant weight coefficients. Evaluations of closeness of the quasi-optimal control to the optimal one have been determined. The numerical methods for solving different problems of optimal control have been developed. They are: linear time optimal control, finite control, minimizing resources consumption, inverse problems of optimal control, structural and parametric optimization and others. Convergence of the iterative numerical methods has been proved. The method of sequential synthesis of time optimal control by dynamical systems has been proposed.
Biography
Graduated from St. Petersburg State Electro-Technical University (Automation and Computing Machinery Department) — 1960. Candidate's degree — 1966. Awarded the rank of senior scientific worker— 1974. Doctor's degree — 2002. Have more than 120 published papers. Lecturing the course of studies on "Theory Optimal Processes" at Novosibirsk State University, Chair of Theoretical Cybernetics — since 1981.
Main publications:
Aleksandrov V. M. Posledovatelnyi sintez optimalnogo po bystrodeistviyu upravleniya // Zhurnal vychislitelnoi matematiki i matematicheskoi fiziki. 1999. T. 39. # 9. S. 1464–1478.
Aleksandrov V. M. Priblizhennoe reshenie lineinoi zadachi na minimum raskhoda resursov // Zhurnal vychislitelnoi matematiki i matematicheskoi fiziki. 1999. T. 39. # 3. S. 418–430.
Aleksandrov V. M. Priblizhennoe reshenie zadachi lineinogo bystrodeistviya // Avtomatika i telemekhanika. 1998. # 12. S. 3–13.
Aleksandrov V. M. Chislennyi metod resheniya zadachi lineinogo bystrodeistviya // Zhurnal vychislitelnoi matematiki i matematicheskoi fiziki. 1998. T. 38. # 6. S. 918–931.
Aleksandrov V. M. Priblizhennoe reshenie zadach optimalnogo upravleniya // Problemy kibernetiki. M.: Nauka, 1984. Vyp. 41. S. 143–206.
V. M. Aleksandrov, “Real-time computation of resource optimal control”, Zh. Vychisl. Mat. Mat. Fiz., 59:7 (2019), 1125–1136; Comput. Math. Math. Phys., 59:7 (2019), 1074–1084
2018
2.
V. M. Aleksandrov, “On some problems of optimal control”, Sib. Èlektron. Mat. Izv., 15 (2018), 1383–1409
3.
V. M. Aleksandrov, “Optimal resource consumption control with interval restrictions”, Sib. Zh. Ind. Mat., 21:2 (2018), 3–16; J. Appl. Industr. Math., 12:2 (2018), 201–212
2017
4.
V. M. Aleksandrov, “Optimal resource consumption control of perturbed systems”, Sib. Zh. Vychisl. Mat., 20:3 (2017), 223–238; Num. Anal. Appl., 10:3 (2017), 185–197
V. M. Aleksandrov, “A singular solution to the problem of minimizing resource consumption”, Sib. Zh. Vychisl. Mat., 19:1 (2016), 5–18; Num. Anal. Appl., 9:1 (2016), 1–11
V. M. Aleksandrov, “Computing of optimal inertial control with a linear system”, Sib. Zh. Vychisl. Mat., 18:1 (2015), 1–13; Num. Anal. Appl., 8:1 (2015), 1–12
V. M. Aleksandrov, “Optimal control of linear systems with interval constraints”, Zh. Vychisl. Mat. Mat. Fiz., 55:5 (2015), 758–775; Comput. Math. Math. Phys., 55:5 (2015), 749–765
V. M. Aleksandrov, “A method of optimal real-time computation of a linear system with retarded control”, Sib. Zh. Vychisl. Mat., 17:1 (2014), 17–30; Num. Anal. Appl., 7:1 (2014), 15–25
2013
11.
V. M. Aleksandrov, “Transferring a system with unknown disturbance under optimal control to a state of dynamic balance and to $\epsilon$-vicinity of a final state”, Sib. Zh. Vychisl. Mat., 16:2 (2013), 133–145; Num. Anal. Appl., 6:2 (2013), 119–130
2012
12.
V. M. Aleksandrov, “Optimal control of dynamic system under insufficient information”, Sib. Èlektron. Mat. Izv., 9 (2012), 329–345
13.
V. M. Aleksandrov, “Forming an approximating construction for calculation and implementation of optimal control in real time”, Sib. Zh. Vychisl. Mat., 15:1 (2012), 1–19; Num. Anal. Appl., 5:1 (2012), 1–16
V. M. Aleksandrov, “Approximation of attainability sets and calculation of time-optimal control in real time”, Sib. Èlektron. Mat. Izv., 8 (2011), 72–104
V. M. Aleksandrov, V. A. Dykhta, “Approximate solution to the resource consumption minimization problem. II. Estimates for the proximity of controls”, Sib. Zh. Ind. Mat., 14:3 (2011), 3–13; J. Appl. Industr. Math., 6:2 (2012), 135–144
V. M. Aleksandrov, V. A. Dykhta, “Approximate solution to the resource consumption minimization problem. I. Construction of a quasioptimal control”, Sib. Zh. Ind. Mat., 14:2 (2011), 3–14; J. Appl. Industr. Math., 5:4 (2011), 467–477
V. M. Aleksandrov, “Resource-optimal control of linear systems”, Zh. Vychisl. Mat. Mat. Fiz., 51:4 (2011), 562–579; Comput. Math. Math. Phys., 51:4 (2011), 520–536
V. M. Aleksandrov, “Optimal Resource Consumption Control of Disturbed Dynamic Systems”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 10:2 (2010), 3–24; J. Math. Sci., 186:3 (2012), 331–351
2009
21.
V. M. Aleksandrov, “Features of motion of dynamic systems with disturbances in the neighborhood of manifolds of switchings”, Avtomat. i Telemekh., 2009, no. 4, 58–77; Autom. Remote Control, 70:4 (2009), 615–632
22.
V. M. Aleksandrov, “Sequential synthesis of time optimal control by a linear system with disturbance”, Sib. Èlektron. Mat. Izv., 6 (2009), 385–439
V. M. Aleksandrov, “A numerical method of solving a linear problem on a minimum consumption of resources”, Sib. Zh. Vychisl. Mat., 12:3 (2009), 247–267; Num. Anal. Appl., 2:3 (2009), 197–215
V. M. Aleksandrov, “Sequential synthesis of the time-optimal control in real time”, Avtomat. i Telemekh., 2008, no. 8, 3–24; Autom. Remote Control, 69:8 (2008), 1271–1288
V. M. Aleksandrov, “Sequential synthesis of the optimal time control by liner systems with disturbances”, Sib. Zh. Vychisl. Mat., 11:3 (2008), 251–270; Num. Anal. Appl., 1:3 (2008), 207–222
V. M. Aleksandrov, “Optimal Control in Real Time by a Linear System with Disturbance”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 8:3 (2008), 3–25
2007
27.
V. M. Aleksandrov, “Iterative method for computing time optimal control in real time mode”, Sib. Zh. Vychisl. Mat., 10:1 (2007), 1–28
V. M. Aleksandrov, “Convergence of the method of sequential synthesis of time-optimal control”, Zh. Vychisl. Mat. Mat. Fiz., 39:10 (1999), 1650–1661; Comput. Math. Math. Phys., 39:10 (1999), 1582–1593
V. M. Aleksandrov, “An approximate solution to the linear problem of minimizing resource consumption”, Zh. Vychisl. Mat. Mat. Fiz., 39:3 (1999), 418–430; Comput. Math. Math. Phys., 39:3 (1999), 397–408
V. M. Aleksandrov, “An approximate solution of the linear time-optimality problem”, Avtomat. i Telemekh., 1998, no. 12, 3–13; Autom. Remote Control, 59:12 (1998), 1699–1707
V. M. Aleksandrov, “A numerical method for solving a linear time-optimal control problem”, Zh. Vychisl. Mat. Mat. Fiz., 38:6 (1998), 918–931; Comput. Math. Math. Phys., 38:6 (1998), 881–893
V. M. Aleksandrov, “Solution of optimal control problems on the basis of the quasi-optimal control method”, Trudy Inst. Mat. Sib. Otd. AN SSSR, 10 (1988), 18–54
1985
36.
V. M. Aleksandrov, V. I. Boldyrev, M. E. Besscetnov, “Construction of a terminal control for nonlinear systems”, Upravliaemie systemy, 1985, no. 26, 20–30
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