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18.—Linear-quadratic Optimal Control

Published online by Cambridge University Press:  14 February 2012

W. A. Coppel
W. A. Coppel
Affiliation:
Department of Mathematics, Institute of Advanced Studies, Australian National University, Canberra.
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Synopsis

New proofs are given for some main results in the theory of linear-quadratic optimal control.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 73 , 1975 , pp. 271 - 289
Copyright
Copyright © Royal Society of Edinburgh 1975

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References

1Brockett, R. W., Finite dimensional linear systems. New York: Wiley, 1970.Google Scholar
2Bryson, A. E. and Ho, Y. C, Applied optimal control. Waltham, Mass.: Ginn, 1969.Google Scholar
3Jacobson, D. H. and Speyer, J. L., Necessary and sufficient conditions for optimality for singular control problems: a limit approach. J.Math. Anal. Appl., 34, 239–266, 1971.Google Scholar
4Molinari, B. P., Non-negativity of a quadratic functional. SIAM J. Control, to appear.Google Scholar
5Williams, J. C, Least squares stationary optimal control and the algebraic Riccati equation. IEEE Trans. Automatic Control, 16, 621–634, 1971.CrossRefGoogle Scholar
6Popov, V. M., Hyperstability and optimality of automatic systems with several control functions. Rev. Roumaine Sci. Tech. Ser. Électro tech. Énergét., 9, 629–690, 1964.Google Scholar
7Kalman, R. E., Ho, Y. C. and Narendra, K. S., Controllability of linear dynamical systems. Contrib. Differential Equations, 1, 189–213, 1963.Google Scholar
8Silverman, L. M. and Anderson, B. D. O., Controllability, observability and stability of linear systems. SIAM J. Control, 6, 121–130, 1968.CrossRefGoogle Scholar
9Kelley, H. J., Kopp, R. E. and Moyer, H. G., Singular extremals. In Topics in optimization, Ch. 3 (Leitman, G., Ed.). New York: Academic Press, 1967.Google Scholar
10Kalman, R. E., Contributions to the theory of optimal control. Bol. Soc. Mat. Mexicana, 5, 102–119, 1960.Google Scholar