Leonard D Berkovitz
Publications listed in MathSciNet
| [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. |
| [27] | 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. |