Publications 1990-2007


Ledyaev, Yu. S.; Zhu, Qiji J. Nonsmooth analysis on smooth manifolds. Trans. Amer. Math. Soc. 359 (2007), no. 8, 3687--3732

Ledyaev, Yuri S.; Treiman, Jay S.; Zhu, Qiji J. Helly's intersection theorem on manifolds of nonpositive curvature. J. Convex Anal. 13 (2006), no. 3-4, 785--798.

Ledyaev, Yu. S. and Zhu, Q. J., Multidirectional mean value inequalities and weak monotonicity, J. London Math. Soc. (2), 71 (2005) ,187--202

 Ledyaev, Yu. S.,On an infinite-dimensional variant of the Rashevskii-Chow theorem,
Dokl. Akad. Nauk, 398 (2004),6,735--737

Ledyaev, Yu. S. and Zhu, Qiji J.,Techniques for nonsmooth analysis on smooth manifolds. {II}.
Deformations and flows, in Optimal control, stabilization and nonsmooth analysis,Lecture Notes
in Control and Inform. Sci.,301,299--311,Springer, Berlin, 2004.

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, 283--297, Springer,Berlin, 2004.

Ledyaev, Yuri S., On generic existence and uniqueness in nonconvex optimal control problems, Set-Valued Anal.,
12 (2004) 147--162.

Bessis, D. N. and Ledyaev, Yu. S. and Vinter, R. B., Dualization of the Euler and Hamiltonian inclusions},
Nonlinear Anal.,43 (2001) 861--882.
Clarke, F. H.; Ledyaev, Yu. S.; Rifford, L.; Stern, R. J. Feedback stabilization and Lyapunov functions. 
SIAM J. Control Optim. 39 (2000), no. 1, 25--48
 Lakshmikantham, V.;  Ledyaev, Yu. S. Proximal (sub-)differential inequalities. Nonlinear Anal. 39 
(2000), no. 2, Ser. A: Theory Methods, 111--133.
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. Systems1998, Added Volume I, 177--194.
Clarke, F.H.;  Ledyaev, Yu. S.; Subbotin, A. I. Universal positional control and proximal aiming in control problems under perturbations and in differential games. (Russian) Dedicated to Academician Lev Semenovich Pontryagin on the occasion of his 90th birthday (Russian). Tr. Mat. Inst. Steklova 224 (1999), Algebra. Topol. Differ. Uravn. i ikh Prilozh., 165--186. 

Ledyaev, Yuri S.; Zhu, Qiji J. Implicit multifunction theorems. Set-Valued Anal. 7 1999), no. 3, 209--238

 
Ledyaev, Yuri S.; Sontag, Eduardo D. A Lyapunov characterization of robust stabilization. Nonlinear Anal. 37 (1999), no. 7, Ser. A: Theory Methods, 813--840.

Devdariani, E. N.; Ledyaev, Yu. S. Maximum principle for implicit control systems. Appl. Math. Optim. 40 (1999), no. 1, 79--103.

Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J. Invariance, monotonicity, and applications. Nonlinear analysis, differential equations and control (Montreal, QC, 1998), 207--305, NATO Sci. Ser. C Math. Phys. Sci., 528, Kluwer Acad. Publ., Dordrecht, 1999.

Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J. Complements, approximations, smoothings and invariance properties. J. Convex Anal. 4 (1997), no. 2, 189--219.

Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J. Asymptotic stability and smooth Lyapunov functions. J. Differential Equations 149 (1998), no. 1, 69--114.

Clarke, F. H.; Hiriart-Urruty, J.-B.; Ledyaev, Yu. S. On global optimality conditions for nonlinear optimal control problems. J. Global Optim. 13 (1998), no. 2, 109--122.

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. ISBN: 0-387-98336-8

Clarke, F. H.; Ledyaev, Yu. S.; Radulescu, M. L. Approximate invariance and differential inclusions in Hilbert spaces. J. Dynam. Control Systems 3 (1997), no. 4, 493--518.

Clarke, Francis H.; Ledyaev, Yuri S.; Sontag, Eduardo D.; Subbotin, Andrei I. Asymptotic controllability implies feedback stabilization. IEEE Trans. Automat. Control 42 (1997), no. 10, 1394--1407.

Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J. Fixed point theory via nonsmooth analysis. Recent developments in optimization theory and nonlinear analysis (Jerusalem, 1995), 93--106, Contemp. Math., 204, Amer. Math. Soc., Providence, RI, 1997.

Clarke, F. H.; Ledyaev, Yu. S.; Subbotin, A. I. The synthesis of universal feedback pursuit strategies in differential games. SIAM J. Control Optim. 35 (1997), no. 2, 552--561.

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 (1996), no. 1, 55--61.

Clarke, F. H.; Ledyaev, Yu. S.; Hiriart-Urruty, J.-B. Global optimality in the calculus of variations. Nonlinear Anal. 28 (1997), no. 7, 1187--1192.

Devdariani, E. N.; Ledyaev, Yu. S. Optimality conditions for implicit controlled systems. Dynamical systems, 2. J. Math. Sci. 80 (1996), no. 1, 1519--1532.

Clarke, F. H.; Ledyaev, Yu. S.; Wolenski, P. R. Proximal analysis and minimization principles. J. Math. Anal. Appl. 196 (1995), no. 2, 722--735.

Clarke, F. H.; Ledyaev, Yu. S.; Stern, R. J. Fixed points and equilibria in nonconvex sets. Nonlinear Anal. 25 (1995), no. 2, 145--161.
 

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 (1995), no. 1, 1--48.

Clarke, F. H.; Ledyaev, Yu. S. Mean value inequalities. Proc. Amer. Math. Soc. 122 (1994), no. 4, 1075--1083.

Ledyaev, Yu. S. Criteria for viability of trajectories of nonautonomous differential inclusions and their applications. J. Math. Anal. Appl. 182 (1994), no. 1, 165--188.  
 
 Clarke, F. H.; Ledyaev, Yu. S. Mean value inequalities in Hilbert space. Trans. Amer. Math. Soc. 344 (1994), no. 1, 307--324.

 Clarke, F.; Ledyaev, Yu. S. New formulas for finite increments. (Russian) Dokl. Akad. Nauk 331 (1993), no. 3, 275--277.

 Devdariani, E. N.; Ledyaev, Yu. S. Optimality conditions for implicit controlled systems. (Russian) Dokl. Akad. Nauk 328 (1993), no. 1, 11--15.

Ledyaev, Yu. S. The maximum principle for optimal strategies in differential games. (Russian) Dokl. Akad. Nauk SSSR 308 (1989), no. 1,41--45 translation in Soviet Math. Dokl. 40 (1990), no. 2, 301--305

Ledyaev, Yu. S.; Mishchenko, E. F. Extremal problems in the theory of differential games. (Russian) Translated in Proc. Steklov Inst. Math. {1990}, no. 2, 165--190. Optimal control and differential games (Russian). Trudy Mat. Inst. Steklov. 185 (1988), 147--170. 
 

 Ledyaev, Yu. S.; Sontag, E. D. A notion of discontinuous feedback. Control using logic-based switching (Block Island, RI, 1995), 97--103, Lecture Notes in Control and Inform. Sci., 222, Springer, London,
1997.