| [1] |
Leonard D. Berkovitz. Convexity and optimization
in Rn. Pure and Applied Mathematics (New York).
Wiley-Interscience [John Wiley & Sons], New York, 2002. |
| [2] |
Leonard D. Berkovitz. A generalized
Hamilton-Jacobi-Bellman equation for deterministic optimal control
problems. In Stochastic analysis, control, optimization and
applications, Systems Control Found. Appl., pages 223-235.
Birkhäuser Boston, Boston, MA, 1999. |
| [3] |
Leonard D. Berkovitz. A theory of differential games. In
Advances in dynamic games and applications (Geneva, 1992),
volume 1 of Ann. Internat. Soc. Dynam. Games, pages
3-22. Birkhäuser Boston, Boston, MA, 1994. |
| [4] |
L. D. Berkovitz, Steven E. Shreve, and
William P. Ziemer. A tribute to Wendell H.Fleming. SIAM J.
Control Optim., 31(2):273-281, 1993. |
| [5] |
Leonard D. Berkovitz. In memory of Magnus R. Hestenes.
J. Optim. Theory Appl., 73(2):225-227, 1992. |
| [6] |
Leonard D. Berkovitz. A survey of recent results in
differential games. In Differential games and applications
(Sophia-Antipolis, 1988), volume 119 of Lecture Notes in
Control and Inform. Sci., pages 35-50. Springer, Berlin,
1989. |
| [7] |
Leonard D. Berkovitz. Thirty years of differential games.
In Modern optimal control, volume 119 of Lecture Notes
in Pure and Appl. Math., pages 1-11. Dekker, New York,
1989. |
| [8] |
Leonard D. Berkovitz. Optimal feedback controls. SIAM
J. Control Optim., 27(5):991-1006, 1989. |
| [9] |
L. D. Berkovitz and Wendell H. Fleming. A tribute to
E. J. McShane. SIAM J. Control Optim., 27(5):909-915,
1989. |
| [10] |
Leonard D. Berkovitz. Erratum and addendum: “The
existence of value and saddle point in games of fixed
duration” [SIAM J. Control Optim.23 (1985), no.2,
172-196; MR0777455 (86g:90141)]. SIAM J. Control Optim.,
26(3):740-742, 1988. |
| [11] |
Leonard D. Berkovitz. Differential games of survival.
J. Math. Anal. Appl., 129(2):493-504, 1988. |
| [12] |
Leonard D. Berkovitz. Characterizations of the values of
differential games. Appl. Math. Optim., 17(2):177-183,
1988. |
| [13] |
Leonard D. Berkovitz. Differential games revisited. In
Proceedings of the 1983 Beijing symposium on differential
geometry and differential equations, pages 303-308, Beijing,
1986. Science Press. |
| [14] |
Leonard D. Berkovitz. Differential games of generalized
pursuit and evasion. SIAM J. Control Optim.,
24(3):361-373, 1986. |
| [15] |
Leonard D. Berkovitz. A penalty method for deriving
necessary conditions in problems of optimal control. In
Mathematical control theory, volume 14 of Banach
Center Publ., pages 59-79. PWN, Warsaw, 1985. |
| [16] |
Leonard D. Berkovitz. The existence of value and saddle
point in games of fixed duration. SIAM J. Control Optim.,
23(2):172-196, 1985. |
| [17] |
L. D. Berkovitz. A class of filter problems. II. Solution
for absolutely continuous kernels. J. Optim. Theory Appl.,
37(3):387-399, 1982. |
| [18] |
L. D. Berkovitz and H. Pollard. A class of filter
problems. I. Existence theory. J. Optim. Theory Appl.,
32(4):521-536, 1980. |
| [19] |
R. V. Gamkrelidze. Principles of optimal control
theory. Plenum Press, New York, revised edition, 1978.
Translated from the Russian by Karol Malowski, Translation edited
by and with a foreword by Leonard D. Berkovitz, Mathematical
Concepts and Methods in Science and Engineering, Vol. 7. |
| [20] |
Leonard D. Berkovitz. Existence theory for optimal control
problems. In Optimal control and differential equations (Proc.
Conf., Univ. Oklahoma, Norman, Okla., 1977), pages 107-130.
Academic Press, New York, 1978. |
| [21] |
Leonard D. Berkovitz. A class of nonlinear variational
problems arising from min-max filter problems. In Calculus of
variations and control theory (Proc. Sympos., Math. Res. Center,
Univ. Wisconsin, Madison, Wis., 1975; dedicated to Laurence
Chisholm Young on the occasion of his 70th birthday), pages
1-12. Publ. Math. Res. Center Univ. Wisconsin, No. 36. Academic
Press, New York, 1976. |
| [22] |
Leonard D. Berkovitz. Optimal control theory. Amer.
Math. Monthly, 83(4):225-239, 1976. |
| [23] |
Leonard D. Berkovitz. Two person zero sum differential
games: an overview. In The theory and application of
differential games (Proc. NATO Advanced Study Inst., Univ. Warwick,
Coventry, 1974), pages 13-22. NATO Adv. Study Inst. Ser., Ser.
C: Math. and Phys. Sci., 13. Reidel, Dordrecht, 1975. |
| [24] |
J. D. Grote, editor. The theory and application of
differential games. D. Reidel Publishing Co., Dordrecht, 1975.
NATO Advanced Study Institute Series. Ser. C: Mathematical and
Physical Sciences, 13. |
| [25] |
Leonard D. Berkovitz. A penalty function proof of the
maximum principle. Appl. Math. Optim., 2(4):291-303,
1975/76. |
| [26] |
Leonard D. Berkovitz. Lower closure and existence theorems
in optimal control. In International Conference on Differential
Equations (Proc., Univ. Southern California, Los Angeles, Calif.,
1974), pages 26-39. Academic Press, New York, 1975. |
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L. D. Berkovitz. Optimal control theory.
Springer-Verlag, New York, 1974. Applied Mathematical Sciences,
Vol. 12. |
| [28] |
L. D. Berkovitz. A lower closure theorem for abstract
control problems with Lp-bounded controls. J.
Optimization Theory Appl., 14:521-528, 1974. Collection of
articles dedicated to Magnus R. Hestenes. |
| [29] |
Leonard D. Berkovitz. Lower semicontinuity of integral
functionals. Trans. Amer. Math. Soc., 192:51-57,
1974. |
| [30] |
Leonard D. Berkovitz. Existence and lower closure theorems
for abstract control problems. SIAM J. Control, 12:27-42,
1974. |
| [31] |
Leonard D. Berkovitz. Existence theorems in problems of
optimal control without property (Q). In Techniques of
optimization (Fourth IFIP Colloq. Optimization Techniques, Los
Angeles, Calif., 1971), pages 197-209. Academic Press, New
York, 1972. |
| [32] |
Leonard D. Berkovitz. Existence theorems in problems of
optimal control. Studia Math., 44:275-285. (errata
insert), 1972. Collection of articles honoring the completion by
Antoni Zygmund of 50 years of scientific activity, III. |
| [33] |
Leonard D. Berkovitz and Harry Pollard. Addenda to
“A variational problem related to an optimal filter problem
with self-correlated noise”. Trans. Amer Math. Soc.,
157:499-504, 1971. |
| [34] |
L. Berkovitz. Lectures on differential games. In
Differential Games and Related Topics (Proc. Internat. Summer
School, Varenna, 1970), pages 3-45. North-Holland, Amsterdam,
1971. |
| [35] |
Leonard D. Berkovitz and Harry Pollard. A non-classical
variational problem arising from an optimal filter problem. II.
Arch. Rational Mech. Anal., 38:161-172, 1970. |
| [36] |
Leonard D. Berkovitz. Some non-classical variational
problems arising from optimal filter problems. In Control
theory and the calculus of variations (Workshop, Univ. California,
Los Angeles, Calif., 1968; dedicated to Magnus R. Hestenes),
pages 305-327. Academic Press, New York, 1969. |
| [37] |
Leonard D. Berkovitz. An existence theorem for optimal
controls. J. Optimization Theory Appl., 4:77-86,
1969. |
| [38] |
Leonard D. Berkovitz and Harry Pollard. A variational
problem related to an optimal filter problem with self-correlated
noise. Trans. Amer. Math. Soc., 142:153-175, 1969. |
| [39] |
Leonard D. Berkovitz. A survey of differential games. In
Mathematical Theory of Control (Proc. Conf., Los Angeles,
Calif., 1967), pages 342-372. Academic Press, New York,
1967. |
| [40] |
Leonard Berkovitz and Harry Pollard. Corrections to: “A
non-classical variational problem arising from an optimal filter
problem”. Arch. Rational Mech. Anal., 28:399,
1967/1968. |
| [41] |
Leonard D. Berkovitz and Harry Pollard. A non-classical
variational problem arising from an optimal filter problem.
Arch. Rational Mech. Anal., 26:281-304, 1967. |
| [42] |
Leonard D. Berkovitz. Necessary conditions for optimal
strategies in a class of differential games and control problems.
SIAM J. Control, 5:1-24, 1967. |
| [43] |
Leonard D. Berkovitz and Stuart E. Dreyfus. A dynamic
programming approach to the nonparametric problem in the claculus
of variations. J. Math. Mech., 15:83-100, 1966. |
| [44] |
Leonard D. Berkovitz and Stuart E. Dreyfus. The
equivalence of some necessary conditions for optimal control in
problems with bounded state variables. J. Math. Anal.
Appl., 10:275-283, 1965. |
| [45] |
Leonard D. Berkovitz. A differential game with no pure
strategy solution. In Advances in game theory, pages
175-194. Princeton Univ. Press, Princeton, N.J., 1964. |
| [46] |
Leonard D. Berkovitz. A variational approach to
differential games. In Advances in game theory, pages
127-174. Princeton Univ. Press, Princeton, N.J., 1964. |
| [47] |
Leonard D. Berkovitz. On control problems with bounded
state variables. J. Math. Anal. Appl., 5:488-498,
1962. |
| [48] |
Leonard D. Berkovitz. An optimum thrust control problem.
J. Math. Anal. Appl., 3:122-132, 1961. |
| [49] |
Leonard D. Berkovitz. Variational methods in problems of
control and programming. J. Math. Anal. Appl., 3:145-169,
1961. |
| [50] |
L. D. Berkovitz and Melvin Dresher. Allocation of two
types of aircraft in tactical air war: a game-theoretic analysis.
Operations Res., 8:694-706, 1960. |
| [51] |
Leonard D. Berkovitz and Melvin Dresher. A multimove
infinite game with linear payoff. Pacific J. Math.,
10:743-765, 1960. |
| [52] |
L. D. Berkovitz and Melvin Dresher. A game-theory analysis
of tactical air war. Operations Res., 7:599-620,
1959. |
| [53] |
L. D. Berkovitz and W. H. Fleming. On differential
games with integral payoff. In Contributions to the theory of
games, vol. 3, Annals of Mathematics Studies, no. 39, pages
413-435. Princeton University Press, Princeton, N. J., 1957. |
| [54] |
Leonard D. Berkovitz and Richard P. Gosselin.
Restricted summation and localization of double trigonometric
series. Duke Math. J., 22:243-251, 1955. |
| [55] |
Leonard D. Berkovitz. Double Sturm-Liouville expansions.
Duke Math. J., 19:567-574, 1952. |
| [56] |
Leonard D. Berkovitz. On double trigonometric integrals.
Trans. Amer. Math. Soc., 73:345-372, 1952. |
| [57] |
Leonard D. Berkovitz. Circular summation and localization
of double trigonometric series. Trans. Amer. Math. Soc.,
70:323-344, 1951. |
