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Ledyaev, Yurii Semenovich

Total publications: 54 (54)
in MathSciNet: 53 (53)
in zbMATH: 50 (50)
in Web of Science: 33 (33)
in Scopus: 3 (3)
Cited articles: 46
Citations in Math-Net.Ru: 37
Citations in Web of Science: 992
Citations in Scopus: 6
Presentations: 8

Number of views:
This page:2507
Abstract pages:2341
Full texts:587
References:288
Professor
Doctor of physico-mathematical sciences (1990)
E-mail:
Website: http://homepages.wmich.edu/~ledyaev/

Biography

Yuri Ledyaev's main research interests lie in control theory (in particular, stabilization, optimal control, differential games), theory of differential inclusions, nonlinear functional and nonsmooth analysis (in particular, nonsmooth analysis' applications in control theory).
He received his Ph.D. degree from Moscow Institute for Physics and Technology in 1980 and his Dr.Sc. degree from Steklov Institute of Mathematics in 1990. He was with Department of Mathematics of Moscow Institute for Physics and Technology during 1980–1984, since 1984 he has been with Steklov Institute of Mathematics of Russian Academy of Sciences where he is a Principal Researcher at the Department of Differential Equations founded by L. S. Pontryagin. He is a Full Professor at the Department of Mathematics, Western Michigan University since 2000.
He authored about 40 papers in above mentioned areas. He is a coauthor with F. H. Clarke, R. J. Stern and P. R. Wolenski of the textbook "Nonsmooth Analysis and Control Theory" published by Springer-Verlag in 1998.
He is a member of the Editorial Boards of "Journal of Dynamical and Control Systems" and "Nonlinear Analysis". His most recently supervised Ph.D. students have been: M. Radulescu (1996, Math, Universite de Montreal) and E. Devdariani (1996, Math, Queen's University, Kingston, Canada).

   
Main publications:
  1. Ledyaev Yu. S. and Zhu Q. J., “Multidirectional mean value inequalities and weak monotonicity”, J. London Math. Soc. (2), 71:1 (2005), 187–202  crossref  mathscinet  zmath
  2. Ledyaev Yu. S., “On an infinite-dimensional variant of the Rashevskii-Chow theorem”, Dokl. Akad. Nauk, 398:6 (2004), 735–737  mathnet  mathscinet
  3. Ledyaev Yu. S. and 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  mathscinet  zmath
  4. Ledyaev Yu. S. and 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  mathscinet  zmath
  5. Ledyaev Yuri S., “On generic existence and uniqueness in nonconvex optimal control problems”, Set-Valued Anal., 12:1-2 (2004), 147–162  crossref  mathscinet  zmath

http://www.mathnet.ru/eng/person23232
List of publications on Google Scholar
http://zbmath.org/authors/?q=ai:ledyaev.yuri-s
https://mathscinet.ams.org/mathscinet/MRAuthorID/206645
http://elibrary.ru/author_items.asp?authorid=7558
https://www.researchgate.net/profile/Yuri_Ledyaev

Full list of publications:
| by years | by types | by times cited in WoS | by times cited in Scopus | scientific publications | common list |


1. 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  crossref  mathscinet  zmath  isi (cited: 338)
2. Clarke F. H., Ledyaev Yu. S., Stern R. J., “Asymptotic stability and smooth Lyapunov functions”, J. Differential Equations, 149:1 (1998), 69–114  crossref  mathscinet  zmath  isi (cited: 147)
3. 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)  crossref  mathscinet  zmath  isi (cited: 94)
4. Ledyaev Yuri S., Sontag Eduardo D., “A Lyapunov characterization of robust stabilization”, Nonlinear Anal., 37:7, Ser. A: Theory Methods (1999), 813–840  crossref  mathscinet  zmath  isi (cited: 89)
5. Clarke F. H., Ledyaev Yu. S., “Mean value inequalities in Hilbert space”, Trans. Amer. Math. Soc., 344:1 (1994), 307–324  crossref  mathscinet  zmath  isi (cited: 55)
6. Ledyaev Yu. S., Zhu Qiji J., “Nonsmooth analysis on smooth manifolds”, Trans. Amer. Math. Soc., 359:8 (2007), 3687–3732 (electronic)  crossref  mathscinet  zmath  isi (cited: 54)  elib (cited: 40)
7. Ledyaev Yuri S., Zhu Qiji J., “Implicit multifunction theorems”, Set-Valued Anal., 7:3 (1999), 209–238  crossref  mathscinet  zmath  isi (cited: 49)
8. Clarke F. H., Ledyaev Yu. S., Wolenski P. R., “Proximal analysis and minimization principles”, J. Math. Anal. Appl., 196:2 (1995), 722–735  crossref  mathscinet  zmath  isi (cited: 26)
9. Devdariani E. N., Ledyaev Yu. S., “Maximum principle for implicit control systems”, Appl. Math. Optim., 40:1 (1999), 79–103  crossref  mathscinet  zmath  isi (cited: 24)
10. Clarke F. H., Ledyaev Yu. S., “Mean value inequalities”, Proc. Amer. Math. Soc., 122:4 (1994), 1075–1083  crossref  mathscinet  zmath  isi (cited: 24)
11. 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  crossref  mathscinet  zmath  isi (cited: 18)
12. Clarke F. H., Ledyaev Yu. S., Stern R. J., “Fixed points and equilibria in nonconvex sets”, Nonlinear Anal., 25:2 (1995), 145–161  crossref  mathscinet  zmath  isi (cited: 17)
13. 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  crossref  mathscinet  zmath  isi (cited: 9)
14. Ledyaev Yu. S., “Criteria for viability of trajectories of nonautonomous differential inclusions and their applications”, J. Math. Anal. Appl., 182:1 (1994), 165–188  crossref  mathscinet  zmath  isi (cited: 9)
15. 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  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 5)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 4)
16. Ledyaev Yuri S., “On generic existence and uniqueness in nonconvex optimal control problems”, Set-Valued Anal., 12:1-2 (2004), 147–162  crossref  mathscinet  zmath  isi (cited: 5)
17. 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  crossref  mathscinet  zmath  isi (cited: 4)  elib (cited: 3)
18. 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  crossref  mathscinet  zmath  isi (cited: 4)
19. Ledyaev Yu. S., Zhu Q. J., “Multidirectional mean value inequalities and weak monotonicity”, J. London Math. Soc. (2), 71:1 (2005), 187–202  crossref  mathscinet  zmath  isi (cited: 3)
20. 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  crossref  mathscinet  zmath  isi (cited: 3)
21. 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  crossref  mathscinet  zmath  isi (cited: 3)
22. Russian Acad. Sci. Dokl. Math., 48:1 (1994), 75–79  mathnet  mathscinet  zmath  isi
23. Yuri S. Ledyaev, Richard B. Vinter, “Discontinuous feedback in nonlinear control: Stabilization under persistent disturbances”, Proc. Steklov Inst. Math., 268 (2010), 222–241  mathnet  crossref  mathscinet  zmath  zmath  isi (cited: 2)  elib  elib  scopus (cited: 2)
24. 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  mathscinet  zmath  isi (cited: 2)  elib (cited: 2)
25. Yuri S. Ledyaev, “On analytical solutions of matrix Riccati equations”, Proc. Steklov Inst. Math., 273 (2011), 214–228  mathnet  crossref  mathscinet  zmath  isi (cited: 1)  elib
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  crossref  mathscinet  isi (cited: 1)
27. Clarke F. H., Ledyaev Yu. S., Hiriart-Urruty J.-B., “Global optimality in the calculus of variations”, Nonlinear Anal., 28:7 (1997), 1187–1192  crossref  mathscinet  zmath  isi (cited: 1)
28. Soviet Math. Dokl., 40:2 (1990), 301–305  mathnet  mathscinet  zmath  isi
29. Ledyaev Yu. S., “Theorems on an implicitly given set-valued mapping”, Dokl. Akad. Nauk SSSR, 276:3 (1984), 543–546  mathnet  mathscinet  zmath  isi (cited: 1)
30. Ledyaev Yu. S., “On an infinite-dimensional variant of the Rashevskiĭ-Chow theorem”, Dokl. Akad. Nauk, 398:6 (2004), 735–737  mathnet  mathscinet
31. 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  crossref  mathscinet  zmath
32. Proc. Inst. Math. Mech., 2000no. , suppl. 1, S72–S89  mathnet  mathscinet  zmath  elib
33. Lakshmikantham V., Ledyaev Yu. S., “Proximal (sub-)differential inequalities”, Nonlinear Anal., 39:2, Ser. A: Theory Methods (2000), 111–133  crossref  mathscinet  zmath  isi
34. 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  mathscinet  zmath
35. 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  mathnet  mathscinet  zmath
36. 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  mathscinet  adsnasa
37. 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.  mathscinet  zmath
38. Clarke F. H., Ledyaev Yu. S., Stern R. J., “Complements, approximations, smoothings and invariance properties”, J. Convex Anal., 4:2 (1997), 189–219  mathscinet  zmath
39. 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  mathscinet  zmath
40. 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  crossref  mathscinet  zmath
41. 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  crossref  mathscinet  zmath
42. 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  mathscinet  zmath
43. Devdariani E. N., Ledyaev Yu. S., “Optimality conditions for implicit controlled systems”, Dynamical systems, 2, J. Math. Sci., 80:1 (1996), 1519–1532  crossref  mathscinet
44. 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  crossref  mathscinet  zmath
45. Russian Acad. Sci. Dokl. Math., 47:1 (1993), 6–12  mathnet  mathscinet  zmath  isi
46. Yu. S. Ledyaev, E. F. Mishchenko, “Extremal problems in the theory of differential games”, Proc. Steklov Inst. Math., 185 (1990), 165–190  mathnet  mathscinet  zmath
47. 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  mathnet  mathscinet  zmath
48. Ledyaev Yu. S., Mishchenko E. F., “Optimal strategies in differential games with fixed duration”, Dokl. Akad. Nauk SSSR, 286:2 (1986), 284–287  mathnet (cited: 1)  mathscinet  zmath  isi
49. Yu. S. Ledyaev, “Regular differential games with mixed constraints on the controls”, Proc. Steklov Inst. Math., 167 (1986), 233–242  mathnet  mathscinet  zmath
50. 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  mathnet  mathscinet  zmath
51. Ledyaev Yu. S., Pokotilo V. G., “A differential game with information delay”, Differentsial'nye Uravneniya, 16:8 (1980), 1385–1391, 1532  mathnet  mathscinet  zmath
52. 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)  crossref  mathscinet  zmath
53. Gusjatnikov P. B., Ledjaev Ju. S., “A small parameter in a differential evasion game”, Differentsial'nye Uravneniya, 14:9 (1978), 1566–1575, 1721–1722  mathnet  mathscinet  zmath
54. Yu. S. Ledyaev, “Criteria for Convexity of Closed Sets in Banach Spaces”, Proc. Steklov Inst. Math., 304 (2019), 190–204  mathnet  crossref  crossref  isi  elib  scopus

Presentations in Math-Net.Ru
1. Аналитическое представление решений матричных уравнений Риккати
Yu. S. Ledyaev
Problems of Mathematical Control Theory
June 14, 2019 15:00
2. Program-predictive control for differential games
Yu. S. Ledyaev
International Conference "Optimal Control and Differential Games" dedicated to the 110th anniversary of L. S. Pontryagin
December 14, 2018 10:30   
3. Критерии выпуклости множеств в банаховых пространствах
Yu. S. Ledyaev
Problems of Mathematical Control Theory
November 9, 2018 13:00
4. Optimal Control of Systems with Evolving Dynamics
Yu. S. Ledyaev
International Conference "Mathematical Theory of Optimal Control" dedicated to the 90th birthday of Academician R. V. Gamkrelidze
June 2, 2017 11:50   
5. Optimal Control on Manifolds: An Unified Framework
Yu. S. Ledyaev
International Conference on Mathematical Control Theory and Mechanics
July 4, 2015 09:00
6. Memoirs about L. S. Pontryagin
Yu. S. Ledyaev, R. V. Gamkrelidze
Conference "Optimal Control and Applications" dedicated to the 105th anniversary of Lev Semenovich Pontryagin
September 24, 2013 18:00   
7. Differential games as nonsmooth extremal problems
Yu. S. Ledyaev
Conference "Optimal Control and Applications" dedicated to the 105th anniversary of Lev Semenovich Pontryagin
September 24, 2013 15:20   
8. Discontinous synthesis in nonlinear control systems and stabilization problems
Yu. S. Ledyaev
International Conference of Steklov Institute Members, working outside Russia
June 5, 2009 13:30   

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