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Reid, R. W.; Citron, S. J.

On noninferior performance index vectors. (English) Zbl 0204.46803

J. Optimization Theory Appl. 7, 11-28 (1971).
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\textit{R. W. Reid} and \textit{S. J. Citron}, J. Optim. Theory Appl. 7, 11--28 (1971; Zbl 0204.46803)
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References:

[1] Oldenburger, R.,Optimal Control, Holt, Rinehart and Winston, New York, 1966.
[2] Zadeh, L. A.,Optimality and Non-Scalar-Valued Performance Criteria, IEEE Transactions on Automatic Control, Vol. AC-8, No. 1, 1963.
[3] Starr, A. W., andHo, Y. C.,Nonzero-Sum Differential Games, Journal of Optimization Theory and Applications, Vol. 3, No. 3, 1969. · Zbl 0169.12301
[4] Starr, A. W., andHo, Y. C.,Further Properties of Nonzero-Sum Differential Games, Journal of Optimization Theory and Applications, Vol. 3, No. 4, 1969. · Zbl 0169.12303
[5] DaCunha, N. O., andPolak, E.,Constrained Minimization under Vector-Valued Criteria in Linear Topological Spaces, Mathematical Theory of Control, Edited by A. V. Balakrishnan and L. W. Neustadt, Academic Press, New York 1967.
[6] Bellman, R. E.,Introduction to the Mathematical Theory of Control Processes, Academic Press, New York, 1967. · Zbl 0164.39601
[7] Chang, S. S. L.,General Theory of Optimal Processes, SIAM Journal on Control, Vol. 4, No. 1, 1966. · Zbl 0144.12402
[8] Klinger, A.,Vector-Valued Performance Criteria, IEEE Transactions on Automatic Control, Vol. AC-9, No. 1, 1964.
[9] Valentine, F. S.,Convex Sets, McGraw-Hill Book Company, New York, 1964.
[10] Reid, R. W., andCitron, S. J.,On Methods of Calculating Noninferior Performance Index Vectors, Purdue University, Department of Aeronautics, Astronautics and Engineering Sciences, Report No. 70-1, 1970.
[11] Lee, B. E., andMarkus, L.,Foundations of Optimal Control Theory, John Wiley and Sons, New York, 1967. · Zbl 0159.13201
[12] MacFarlane, A. G. J.,A Method of Computing Performance Functionals for Linear Dynamical Systems, Journal of Electronics and Control, Vol. 15, No. 4, 1963. · Zbl 0135.13002
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.