Speciality:
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.
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.
