01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date:
18.09.1947
E-mail:
Keywords:
differentially geometrical approach; chronological calculus; ordinary differential equations; partial differential equations; discrete-time equations; control systems; high-order necessary conditions for optimality; sufficient conditions for local controllability; perturbation methods; asymptotical expansions.
Main publications:
Tretyak A. I. Chronological calculus, high-order necessary conditions for optimality, and perturbation methods // J. of Dynamical and Control Systems, 1998, 4(1), 77–126.
A. I. Tret'yak, “Necessary conditions for optimality of even order in a
time-optimality problem for a class of control systems”, Dokl. Akad. Nauk SSSR, 316:5 (1991), 1058–1060; Dokl. Math., 43:1 (1991), 243–245
2.
A. I. Tret'yak, “Higher-order pointwise optimality conditions”, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Nov. Dostizh., 39 (1991), 118–177; J. Math. Sci., 71:3 (1994), 2486–2530
1990
3.
A. I. Tret'yak, “On necessary conditions for odd optimability of high speed prbblem for the linear on control systems”, Mat. Sb., 181:5 (1990), 625–641; Math. USSR-Sb., 70:1 (1991), 47–63
A. I. Tret'yak, “On necessary conditions of arbitrary order for optimality in a time-optimal problem”, Mat. Sb. (N.S.), 132(174):2 (1987), 261–274; Math. USSR-Sb., 60:1 (1988), 255–268
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