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Time-optimal control of parabolic systems with boundary conditions involving time delays. (English) Zbl 0368.49007


MSC:

49J30 Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.)
49J20 Existence theories for optimal control problems involving partial differential equations
35B35 Stability in context of PDEs
35R10 Partial functional-differential equations
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References:

[1] Wang, P. K. C.,Optimal Control of Parabolic Systems with Boundary Conditions Involving Time Delays, SIAM Journal of Control and Optimization, Vol. 13, pp. 274-293, 1975. · Zbl 0301.49009 · doi:10.1137/0313016
[2] Lions, J., andMagenes, E.,Nonhomogeneous Boundary-Value Problems and Applications, Vol. 1, Springer-Verlag, Heidelberg, Germany, 1972.
[3] Lions, J., andMagenes, E.,Nonhomogeneous Boundary-Value Problems and Applications, Vol. 2, Springer-Verlag, Heidelberg, Germany, 1972.
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[8] Friedman, A.,Partial Differential Equations, Holt, Reinhart, and Winston, New York, New York, 1969. · Zbl 0224.35002
[9] Castaing, C.,Sur les Multi-Applications Mesurables, Revue Francaise d’Informatique et de Recherche Operationelle, Vol. 1, pp. 91-126, 1967. · Zbl 0153.08501
[10] Olech, C.,Extremal Solutions of a Control System, Journal of Differential Equations, Vol. 2, pp. 74-101, 1966. · Zbl 0135.32802 · doi:10.1016/0022-0396(66)90064-7
[11] Kluvanek, I., andKnowles, G.,Vector Measures and Control Systems, North-Holland Publishing Company, Amsterdam, Holland, 1976. · Zbl 0316.46043
[12] Butkovskiy, A. G.,Distributed Control Systems, American Elsevier Publishing Company, New York, New York, 1969. · Zbl 0197.42204
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