The problem of the synthesis of adaptive nonlinear dynamical systems providing unknown parametrical drift was solved. The problem of the optimal stabilization of nonlinear holonomic and nonholonomic systems into adaptive statement was formulated and solved. The solution of the problem of optimal synthesis of adaptive nonlinear dynamical systems with the general form connections was obtained. The synthesis of adaptive controlled systems on the basis of the Hamilton-Jacobi canonical transformations was realized. The solution was achieved for the optimization problem of adaptive controlled systems with distributive parameters. The problem of optimal stabilization of nonlinear stochastic systems was solved. Some problems of the solid body stochastic motion were formulated and solved. The investigation was conducted for the question about motion of nonlinear dynamical systems with stochastic connections and concerning of stochastic nonstability presence. Optimal parametrical synthesis of nonlinear stochastic systems with the random stoppage moment was realized. The solution of the problem for the optimal nonlinear adaptive filtering about Kalman-Bucy method was obtained. The differential principle of motion completness for the variable-mass point into space was proposed. Using this principle as the base the equations describing the hyperreactive motion was derived and properties of this motion was studied.
Biography
Graduated from Faculty of Mathematics and Mechanics of Leningrad State University (LSU) in 1977 (department of theoretical mechanics) and post-graduate course of LSU in 1980 (department of theoretical cybernetics). Ph.D. thesis was defended in 1980. D.Sci thesis was defended in 1994. A list of my works contains about 100 titles and 5 monographs.
Main publications:
Tertychny-Dauri V. Yu. Adaptive Mechanics. Dordrecht, Boston, London: Kluwer Academic Publishers, 2002. 507 p.
V. Yu. Tertychnyi-Dauri, “Designing adaptive control in the problem of optimal damping of perturbations”, Avtomat. i Telemekh., 2012, no. 9, 88–110; Autom. Remote Control, 73:9 (2012), 1511–1528
2009
2.
V. Yu. Tertychny-Dauri, “Integral and integro-differential control plants: Optimality conditions”, Avtomat. i Telemekh., 2009, no. 10, 45–74; Autom. Remote Control, 70:10 (2009), 1635–1661
2008
3.
V. Yu. Tertychny-Dauri, “Conditional variational problems of control for distributed-parameter systems”, Avtomat. i Telemekh., 2008, no. 11, 62–81; Autom. Remote Control, 69:11 (2008), 1873–1891
2006
4.
V. Yu. Tertychny-Dauri, “A conditional optimal control problem and its adaptive solution method”, Avtomat. i Telemekh., 2006, no. 3, 54–67; Autom. Remote Control, 67:3 (2006), 393–404
V. Yu. Tertychny-Dauri, “Variational dynamic problems with parameters and their adaptive interpretation”, Avtomat. i Telemekh., 2005, no. 9, 114–128; Autom. Remote Control, 66:9 (2005), 1465–1477
V. Yu. Tertychny-Dauri, “Adaptive Optimal Nonlinear Filtration and Certain Related Topics. II”, Avtomat. i Telemekh., 2002, no. 1, 86–101; Autom. Remote Control, 63:1 (2002), 76–89
V. Yu. Tertychnyi-Dauri, “Adaptive Design of Nonlinear Dynamic Systems under Noise-Corrupted Control”, Avtomat. i Telemekh., 2001, no. 12, 122–128; Autom. Remote Control, 62:12 (2001), 2042–2047
V. Yu. Tertychnyi, “On the Equivalence of Optimization Criteria in the General Adaptive Synthesis Problem for Controllable Lagrangian Systems”, Avtomat. i Telemekh., 1996, no. 3, 116–127; Autom. Remote Control, 57:3 (1996), 396–405
V. Yu. Tertychnyi, “Adaptive integro-differential algorithms for the stochastic optimization of dynamical systems”, Differ. Uravn., 29:4 (1993), 610–616; Differ. Equ., 29:4 (1993), 518–523
20.
V. Yu. Tertychny-Dauri, “A model problem of the adaptive stabilization for the non-linear dynamic object under conditions of the strong parameter indenermination”, Matem. Mod., 5:9 (1993), 98–110
1992
21.
V. Yu. Tertychnyĭ, “Design of an adaptive system for the stabilization of nonlinear dynamical objects using integral transformations”, Avtomat. i Telemekh., 1992, no. 3, 112–123; Autom. Remote Control, 53:3 (1992), 420–429
1988
22.
V. Yu. Tertychnyi, “On asymptotic properties of a stochastic algorithm for adaptive control”, Avtomat. i Telemekh., 1988, no. 8, 105–115; Autom. Remote Control, 49:8 (1988), 1042–1051