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Sufficient conditions for the optimal control of a class of systems with continuous lags. (English) Zbl 0261.49025


MSC:

49K99 Optimality conditions
90B99 Operations research and management science
Full Text: DOI

References:

[1] Bate, R. R.,Optimal Control of Systems with Transport Lags, Advances in Control Systems, Vol. 7, Edited by C. T. Leondes, Academic Press, New York, New York, 1967.
[2] Burdet, C. A., andSethi, S. P.,On the Maximum Principle For a Class of Discrete Dynamical Systems with Lags, Carnegie-Mellon University, Management Science Research Report No. 262, 1972.
[3] Sethi, S. P., andMcGuire, T. W.,Optimal Skill-Mix: An Application of the Maximum Principle for Systems with Continuous Lags, Carnegie-Mellon University, GSIA Working Paper No. 46-71-2, 1971.
[4] Banks, H. T., andJacobs, M. Q.,The Optimization of Trajectories of Linear Functional Differential Equations, SIAM Journal on Control, Vol. 8, No. 4, 1970. · Zbl 0246.49006
[5] Arrow, K. J., andKurz, M.,Public Investment, The Rate of Return, and Optimal Fiscal Policy, The Johns Hopkins Press, Baltimore, Maryland, 1970.
[6] Mangasarian, O.,Sufficient Conditions for the Optimal Control of Nonlinear Systems, SIAM Journal on Control, Vol. 4, No. 1, 1966. · Zbl 0154.10401
[7] Jacobson, D. H., Lele, M. M., andSpeyer, J. L.,New Necessary Conditions of Optimality for Control Problems with State-Variable Inequality Constraints, Journal of Mathematical Analysis and Applications, Vol. 35, No. 4, 1971. · Zbl 0188.47203
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