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On the optimal control of a class of hyperbolic systems

Published online by Cambridge University Press:  17 April 2009

Zhan Sheng Wu
Affiliation:
Department of Mathematics, Zhongshan University, Guangzhou, China.
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Abstract

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Type
Abstract of Australasian PhD Thesis
Copyright
Copyright © Australian Mathematical Society 1982

References

[1]Ahmed, Nasin Uddin and Teo, K.L., Optimal control of distributed parameter systems (North-Holland, New York, Amsterdam, 1981).Google Scholar
[2]Butkovskiy, A.G., Distributed control systems (Modern Analytic and Computational Methods in Science and Mathematics, 11. American Elsevier, New York, 1969).Google Scholar
[3]Cesari, Lamberto, “Optimization with partial differential equations in Dkeudonne-Rashevsky form and conjugate problems”, Arch. Rational Mech. Anal. 33 (1969), 339357.CrossRefGoogle Scholar
[4]Suryanarayana, Mandi Butchi, “Optimization problems with hyperbolic partial differential equations” (PhD thesis, University of Michigan, Ann Arbor, 1970).Google Scholar
[5]Suryanarayana, M.B., “Necessary conditions for optimization problems with hyperbolic partial differential equations”, SIAM J. Control 11 (1973), 130147.CrossRefGoogle Scholar
[6]Suryanarayana, M.B., “Existence theorems for optimization problems concerning hyperbolic partial differential equations”, J. Optim. Theory Appl. 15 (1975), 361392.CrossRefGoogle Scholar
[7]Suryanarayana, M.B., “Existence theorems for optimization problems concerning linear, hyperbolic partial differential equations without convexity conditions”, J. Optim. Theory Appl. 19 (1976), 4761.CrossRefGoogle Scholar