By Anderson B.D.O., Moore J.B.

ISBN-10: 0136386512

ISBN-13: 9780136386513

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21, No. 4 (April 1960),pp. 303-306. [8] L. S. Pontryagin, V. G. Boltyanskii, R. V. Gamkrelidze, and E. F. Mischenko, The 34 The Standard Regulator Problem—1 Chap. 2 Mathematical Theory of Optimal Processes, K. N. ), L. W. Neustadt ed. New York: Interscience Publishers, 1962. [9] S. E. Dreyfus, Dynamic Programming and the Calculus of Variations. , 1965. [IO] R. E. Bellman, and S. E. Dreyfus, Applied Dyanamic Programming. : Princeton University Press, 1962. [11] R. Bellman, and R. Bucy, “Asymptotic Control Theory,” SIAM J.

I + e,) – pii(f, O – P,j(t, ‘) and that each term on the right possesses a limit as T approaches infinity. 1 -3). 1-3) satisfying P (T) = A by P(t, T; A). 1-3) defined for all t. Optimal performance index and control formulas. ), t, T)

Time-invariant regulator problem. 1-8) 40 The Standard Regulator Problem—n Chap 3 where F and G are constant. Let the constant matrices Q and R be nonnegative and positive definite, respectively. Define the performance index . ) minimizing V, together with the associated optimum performance index. To ensure solvability of the problem, it is necessary, as before, to make some additional restrictions. 1-1 specialized to the time-invariant c;se. 1-8) is completely stabilizable Solution to the time-invariant Let P(t, T) be the solution reguhztor problem.

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Optimal Control by Anderson B.D.O., Moore J.B.

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