Персоналии: Ледяев Юрий Семенович, Список публикаций

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Ледяев Юрий Семенович

Публикации

по годам




2021
1.	Yu. S. Ledyaev, “Wilcox Formula for Vector Fields on Banach Manifolds”, Тр. ИММ УрО РАН, 27, № 3, 2021, 271–285 ;

2019
2.	Ю. С. Ледяев, “Критерии выпуклости замкнутых множеств в банаховых пространствах”, Оптимальное управление и дифференциальные уравнения, Сборник статей. К 110-летию со дня рождения академика Льва Семеновича Понтрягина, Тр. МИАН, 304, МИАН, М., 2019, 205–220 ; Yu. S. Ledyaev, “Criteria for Convexity of Closed Sets in Banach Spaces”, Proc. Steklov Inst. Math., 304 (2019), 190–204	1 ^[x]

2012
3.	Ю. С. Ледяев, Д. С. Триман, “Суб- и суперградиенты огибающих, полунепрерывных замыканий и пределов последовательностей функций”, УМН, 67:2(404) (2012), 157–186 ; Yu. S. Ledyaev, J. S. Treiman, “Sub- and supergradients of envelopes, semicontinuous closures, and limits of sequences of functions”, Russian Math. Surveys, 67:2 (2012), 345–373	11 ^[x]

2011
4.	Ю. С. Ледяев, “Об аналитических решениях матричных уравнений Риккати”, Тр. МИАН, 273 (2011), 231–246 ; Yuri S. Ledyaev, “On analytical solutions of matrix Riccati equations”, Proc. Steklov Inst. Math., 273 (2011), 214–228	9 ^[x]
5.	F. Clarke, Yu. Ledyaev, M. d. R. de Pinhoário, “An extension of the Schwarzkopf multiplier rule in optimal control”, SIAM J. Control Optim., 49:2 (2011), 599–610	7 ^[x]

2010
6.	Ю. С. Ледяев, Р. Б. Винтер, “Разрывное управление нелинейными системами: стабилизация при постоянно действующих возмущениях”, Дифференциальные уравнения и топология. I, Сборник статей. К 100-летию со дня рождения академика Льва Семеновича Понтрягина, Тр. МИАН, 268, МАИК, М., 2010, 231–251 ; Yuri S. Ledyaev, Richard B. Vinter, “Discontinuous feedback in nonlinear control: Stabilization under persistent disturbances”, Proc. Steklov Inst. Math., 268 (2010), 222–241	3 ^[x]

2007
7.	Ledyaev Yu. S., Zhu Qiji J., “Nonsmooth analysis on smooth manifolds”, Trans. Amer. Math. Soc., 359:8 (2007), 3687–3732 (electronic)	95 ^[x]

2006
8.	Ledyaev Yuri S., Treiman Jay S., Zhu Qiji J., “Helly's intersection theorem on manifolds of nonpositive curvature”, J. Convex Anal., 13:3-4 (2006), 785–798

2005
9.	Ledyaev Yu. S., Zhu Q. J., “Multidirectional mean value inequalities and weak monotonicity”, J. London Math. Soc. (2), 71:1 (2005), 187–202	2 ^[x]

2004
10.	Ledyaev Yu. S., “On an infinite-dimensional variant of the Rashevskiĭ-Chow theorem”, Dokl. Akad. Nauk, 398:6 (2004), 735–737
11.	Ledyaev Yu. S., Zhu Qiji J., “Techniques for nonsmooth analysis on smooth manifolds. II. Deformations and flows”, Optimal control, stabilization and nonsmooth analysis, Lecture Notes in Control and Inform. Sci., 301, Springer, Berlin, 2004, 299–311	2 ^[x]
12.	Ledyaev Yu. S., Zhu Qiji J., “Techniques for nonsmooth analysis on smooth manifolds. I. Local problems”, Optimal control, stabilization and nonsmooth analysis, Lecture Notes in Control and Inform. Sci., 301, Springer, Berlin, 2004, 283–297	2 ^[x]
13.	Ledyaev Yuri S., “On generic existence and uniqueness in nonconvex optimal control problems”, Set-Valued Anal., 12:1-2 (2004), 147–162	4 ^[x]

2001
14.	Bessis D. N., Ledyaev Yu. S., Vinter R. B., “Dualization of the Euler and Hamiltonian inclusions”, Nonlinear Anal., 43:7, Ser. A: Theory Methods (2001), 861–882	9 ^[x]

2000
15.	F. H. Clarke, Yu. S. Ledyaev, R. J. Stern, “Proximal analysis and feedback construction”, Сборник научных трудов, Тр. ИММ УрО РАН, 6, № 1, 2000, 91–109 ; Proc. Inst. Math. Mech., 2000no. , suppl. 1, S72–S89	4 ^[x]
16.	Clarke F. H., Ledyaev Yu. S., Rifford L., Stern R. J., “Feedback stabilization and Lyapunov functions”, SIAM J. Control Optim., 39:1 (2000), 25–48 (electronic)	114 ^[x]
17.	Lakshmikantham V., Ledyaev Yu. S., “Proximal (sub-)differential inequalities”, Nonlinear Anal., 39:2, Ser. A: Theory Methods (2000), 111–133

1999
18.	Ledyaev Yuri S., Zhu Qiji J., “Implicit multifunction theorems”, Set-Valued Anal., 7:3 (1999), 209–238	49 ^[x]
19.	Clarke F. H., Ledyaev Yu. S., Stern R. J., “Invariance, monotonicity, and applications”, Nonlinear analysis, differential equations and control (Montreal, QC, 1998), NATO Sci. Ser. C Math. Phys. Sci., 528, Kluwer Acad. Publ., Dordrecht, 1999, 207–305
20.	Ledyaev Yuri S., Sontag Eduardo D., “A Lyapunov characterization of robust stabilization”, Nonlinear Anal., 37:7, Ser. A: Theory Methods (1999), 813–840	124 ^[x]
21.	Devdariani E. N., Ledyaev Yu. S., “Maximum principle for implicit control systems”, Appl. Math. Optim., 40:1 (1999), 79–103	33 ^[x]
22.	Ф. Кларк, Ю. С. Ледяев, А. И. Субботин, “Универсальное позиционное управление и проксимальное прицеливание в задачах управления в условиях возмущения и дифференциальных играх”, Алгебра. Топология. Дифференциальные уравнения и их приложения, Сборник статей. К 90-летию со дня рождения академика Льва Семеновича Понтрягина, Тр. МИАН, 224, Наука, М., 1999, 165–186 ; F. Clarke, Yu. S. Ledyaev, A. I. Subbotin, “Universal Feedback Control via Proximal Aiming in Problems of Control under Disturbance and Differential Games”, Proc. Steklov Inst. Math., 224 (1999), 149–168	11 ^[x]

1998
23.	Clarke F. H., Ledyaev Yu. S., Stern R. J., “Proximal techniques of feedback construction”, Dynamical systems and differential equations, Vol. I (Springfield, MO, 1996), Discrete Contin. Dynam. Systems, 1998, no. Added Volume I, 177–194
24.	Clarke F. H., Hiriart-Urruty J.-B., Ledyaev Yu. S., “On global optimality conditions for nonlinear optimal control problems”, J. Global Optim., 13:2 (1998), 109–122	7 ^[x]
25.	Clarke F. H., Ledyaev Yu. S., Stern R. J., “Asymptotic stability and smooth Lyapunov functions”, J. Differential Equations, 149:1 (1998), 69–114	233 ^[x]
26.	Clarke F. H., Ledyaev Y., Vinter R. B., “Addendum to: “Regularity properties of solutions to linear quadratic optimal control problems with state constraints” [Systems Control Lett. 30 (1997), no. 5, 265–272; MR1453840 (98d:49047)]”, Systems Control Lett., 33:2 (1998), 139	1 ^[x]
27.	Clarke F. H., Ledyaev Yu. S., Stern R. J., Wolenski P. R., Nonsmooth analysis and control theory, Graduate Texts in Mathematics, 178, Springer-Verlag, New York, 1998, xiv+276 pp.

1997
28.	Clarke F. H., Ledyaev Yu. S., Stern R. J., “Complements, approximations, smoothings and invariance properties”, J. Convex Anal., 4:2 (1997), 189–219
29.	Clarke F. H., Ledyaev Yu. S., Radulescu M. L., “Approximate invariance and differential inclusions in Hilbert spaces”, J. Dynam. Control Systems, 3:4 (1997), 493–518
30.	Clarke Francis H., Ledyaev Yuri S., Sontag Eduardo D., Subbotin Andrei I., “Asymptotic controllability implies feedback stabilization”, IEEE Trans. Automat. Control, 42:10 (1997), 1394–1407	477 ^[x]
31.	Clarke F. H., Ledyaev Y., Vinter R. B., “Regularity properties of solutions to linear quadratic optimal control problems with state constraints”, Systems Control Lett., 30:5 (1997), 265–272	1 ^[x]
32.	Clarke F. H., Ledyaev Yu. S., Stern R. J., “Fixed point theory via nonsmooth analysis”, Recent developments in optimization theory and nonlinear analysis (1995, Jerusalem), Contemp. Math., 204, Amer. Math. Soc., Providence, RI, 1997, 93–106	6 ^[x]
33.	Clarke F. H., Ledyaev Yu. S., Subbotin A. I., “The synthesis of universal feedback pursuit strategies in differential games”, SIAM J. Control Optim., 35:2 (1997), 552–561	22 ^[x]
34.	Ledyaev Yu. S., Sontag E. D., “A notion of discontinuous feedback”, Control using logic-based switching (1995, Block Island, RI), Lecture Notes in Control and Inform. Sci., 222, Springer, London, 1997, 97–103
35.	Clarke F. H., Ledyaev Yu. S., Hiriart-Urruty J.-B., “Global optimality in the calculus of variations”, Nonlinear Anal., 28:7 (1997), 1187–1192	2 ^[x]

1996
36.	Hiriart-Urruty J.-B., Ledyaev Yuri S., “A note on the characterization of the global maxima of a (tangentially) convex function over a convex set”, J. Convex Anal., 3:1 (1996), 55–61
37.	Devdariani E. N., Ledyaev Yu. S., “Optimality conditions for implicit controlled systems”, Dynamical systems, 2, J. Math. Sci., 80:1 (1996), 1519–1532	2 ^[x]

1995
38.	Clarke F. H., Ledyaev Yu. S., Wolenski P. R., “Proximal analysis and minimization principles”, J. Math. Anal. Appl., 196:2 (1995), 722–735	32 ^[x]
39.	Clarke F. H., Ledyaev Yu. S., Stern R. J., “Fixed points and equilibria in nonconvex sets”, Nonlinear Anal., 25:2 (1995), 145–161	21 ^[x]
40.	Clarke F. H., Ledyaev Yu. S., Stern R. J., Wolenski P. R., “Qualitative properties of trajectories of control systems: a survey”, J. Dynam. Control Systems, 1:1 (1995), 1–48	148 ^[x]

1994
41.	Ledyaev Yu. S., “Criteria for viability of trajectories of nonautonomous differential inclusions and their applications”, J. Math. Anal. Appl., 182:1 (1994), 165–188	11 ^[x]
42.	Clarke F. H., Ledyaev Yu. S., “Mean value inequalities in Hilbert space”, Trans. Amer. Math. Soc., 344:1 (1994), 307–324	79 ^[x]
43.	Clarke F. H., Ledyaev Yu. S., “Mean value inequalities”, Proc. Amer. Math. Soc., 122:4 (1994), 1075–1083	43 ^[x]

1993
44.	Klark F., Ledyaev Yu. S., “New formulas for finite increments”, Dokl. Akad. Nauk, 331:3 (1993), 275–277 ; Russian Acad. Sci. Dokl. Math., 48:1 (1994), 75–79	5 ^[x]
45.	Devdariani E. N., Ledyaev Yu. S., “Optimality conditions for implicit controlled systems”, Dokl. Akad. Nauk, 328:1 (1993), 11–15 ; Russian Acad. Sci. Dokl. Math., 47:1 (1993), 6–12	1 ^[x]

1989
46.	Ledyaev Yu. S., “The maximum principle for optimal strategies in differential games”, Dokl. Akad. Nauk SSSR, 308:1 (1989), 41–45 ; Soviet Math. Dokl., 40:2 (1990), 301–305

1988
47.	Ю. С. Ледяев, Е. Ф. Мищенко, “Экстремальные задачи в теории дифференциальных игр”, Оптимальное управление и дифференциальные игры, Тр. МИАН СССР, 185, Наука, М., 1988, 147–170 ; Yu. S. Ledyaev, E. F. Mishchenko, “Extremal problems in the theory of differential games”, Proc. Steklov Inst. Math., 185 (1990), 165–190	3 ^[x]

1987
48.	Ledyaev Yu. S., Mishchenko E. F., “Conditions for the optimality of strategies in differential games of fixed duration”, Differentsial'nye Uravneniya, 23:2 (1987), 244–255, 364

1986
49.	Ledyaev Yu. S., Mishchenko E. F., “Optimal strategies in differential games with fixed duration”, Dokl. Akad. Nauk SSSR, 286:2 (1986), 284–287	1 ^[x]

1985
50.	Ю. С. Ледяев, “Регулярные дифференциальные игры со смешанными ограничениями на управления”, Современные проблемы математики. Математический анализ, алгебра, топология, Сборник статей. Посвящается академику Льву Семеновичу Понтрягину к его семидесятипятилетию, Тр. МИАН СССР, 167, 1985, 207–215 ; Yu. S. Ledyaev, “Regular differential games with mixed constraints on the controls”, Proc. Steklov Inst. Math., 167 (1986), 233–242	2 ^[x]

1984
51.	Ledyaev Yu. S., “Theorems on an implicitly given set-valued mapping”, Dokl. Akad. Nauk SSSR, 276:3 (1984), 543–546

1981
52.	Р. П. Иванов, Ю. С. Ледяев, “Оптимальность времени преследования в дифференциальной игре многих объектов с простым движением”, Аналитическая теория чисел, математический анализ и их приложения, Сборник статей. Посвящается академику Ивану Матвеевичу Виноградову к его к его девяностолетию, Тр. МИАН СССР, 158, 1981, 87–97 ; R. P. Ivanov, Yu. S. Ledyaev, “Time optimality for the pursuit of several objects with simple motion in a differential game”, Proc. Steklov Inst. Math., 158 (1983), 93–103	10 ^[x]

1980
53.	Ledyaev Yu. S., Pokotilo V. G., “A differential game with information delay”, Differentsial'nye Uravneniya, 16:8 (1980), 1385–1391, 1532

1979
54.	Gusiatnikov P. B., Lediaev Iu. S., Mezentsev A. V., “Differential escape games with information lag”, J. Appl. Math. Mech., 43:2 (1979), 213–221 (1980)

1978
55.	Gusjatnikov P. B., Ledjaev Ju. S., “A small parameter in a differential evasion game”, Differentsial'nye Uravneniya, 14:9 (1978), 1566–1575, 1721–1722