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Variational and optimal control problems with delayed argument. (English) Zbl 0153.41201


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[1] Bliss, G. A.,Lectures on the Calculus of Variations, University of Chicago Press, Chicago, 1946. · Zbl 0063.00459
[2] Hestenes, M. R.,Calculus of Variations and Optimal Control Theory, Chapter 6, John Wiley and Sons, New York, 1966. · Zbl 0173.35703
[3] Hestenes, M. R.,On Variational Theory and Optimal Control Theory, SIAM Journal on Control, Vol. 3, pp. 23–48, 1965. · Zbl 0151.12803
[4] Oguztóreli, M. N.,Time-Lag Control Systems, Academic Press, New York, 1966. · Zbl 0143.12101
[5] Chyung, D. H., andLee, E. B.,Linear Optimal Systems with Time Delay, SIAM Journal on Control, Vol. 4, pp. 548,575, 1966. · Zbl 0148.33804
[6] El’scol’c, L. E.,Qualitative Methods of Mathematical Analysis, Translations of Mathematical Monographs, Vol. 12, American Mathematical Society, Providence, Rhode Island, 1964.
[7] Fontryagin, L. S., Boltyanskii, V. G., Gamkrelidze, R. V., andMishchenko, E. F.,The Mathematical Theory of Optimal Processes, Chapter 4, John Wiley & Sons (Interidence Publishers). New York, 1962.
[8] Reid, W. T.,A Boundary Value Problem Associated with the Calculus of Variations, American Journal of Mathematics, Vol. 54, pp. 769–790, 1932. · JFM 58.0534.01
[9] Ewing, G. M., Sufficient Conditions for Global Extreme in the Calculus of variations, Journal of the Astronautical Sciences, Vol. 12, pp. 102–105, 1965.
[10] Hughes, D. K.,Contribution to Veriational and Optimal Control Problems with Delayed Argument, Ph. D. Thesis, University of Oklahoma, 1967.
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