Book Review
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MathSciNet review:
1567277
Full text of review:
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Book Information:
Author:
David L. Russell
Title:
Mathematics of finite-dimensional control systems. Theory and design
Additional book information:
Lecture Notes in Pure and Applied Mathematics, Vol. 43, Marcel Dekker, New York and Basel, 1979, viii + 553 pp., $45.00.
1. J. C. Maxwell, On governors, Proc. Royal Soc. 16 (1868), 270-283.
R. Bellman, I. Glicksberg, and O. Gross, On the “bang-bang” control problem, Quart. Appl. Math. 14 (1956), 11–18. MR 78516, DOI 10.1090/S0033-569X-1956-78516-4
Richard Bellman, Dynamic programming, Princeton University Press, Princeton, N. J., 1957. MR 0090477
L. S. Pontrjagin, V. G. Boltjanskiĭ, R. V. Gamkrelidze, and E. F. Miščenko, Matematicheskaya teoriya optimal′nykh protsessov, Gosudarstv. Izdat. Fiz.-Mat. Lit., Moscow, 1961 (Russian). MR 0166036
R. E. Kalman, Contributions to the theory of optimal control, Bol. Soc. Mat. Mexicana (2) 5 (1960), 102–119. MR 127472
R. E. Kalman and R. S. Bucy, New results in linear filtering and prediction theory, Trans. ASME Ser. D. J. Basic Engrg. 83 (1961), 95–108. MR 234760
- 1.
- J. C. Maxwell, On governors, Proc. Royal Soc. 16 (1868), 270-283.
- 2.
- R. Bellman, I. Glicksberg and O. Gross, On the "bang-bang" control problem, Quart Appl. Math. 14 (1956), 11-18. MR 0078516
- 3.
- R. Bellman, Dynamic programming, Princeton Univ. Press, Princeton, N. J., 1957. MR 90477
- 4.
- L. S. Pontiyagin, V. G. Boltyanskiĭ, R. V. Gamkrelidze and E. F. Mischenko, The mathematical theory of optimal processes, Gostekhizdat, Moscow, 1961. English translation: Wiley, New York, 1962. MR 166037
- 5.
- R. E. Kalman, Contributions to the theory of optimal control, Bol. Soc. Mat Mexicana 12 (1960), 102-119. MR 127472
- 6.
- R. E. Kalman and R. S. Bucy, New results in linear prediction and filtering theory, J.Basic Eng. (Trans. ASME, Ser. D) 83 (1961), 95-107. MR 234760
Review Information:
Reviewer:
H. O. Fattorini
Journal:
Bull. Amer. Math. Soc.
3 (1980), 770-772
DOI:
https://doi.org/10.1090/S0273-0979-1980-14816-8