A maximum principle for optimal control problems with neutral functional differential systems

Author:
G. A. Kent

Journal:
Bull. Amer. Math. Soc. **77** (1971), 565-570

MSC (1970):
Primary 34H05, 49B99; Secondary 34K99, 35L05, 35L20, 49B25

DOI:
https://doi.org/10.1090/S0002-9904-1971-12756-8

MathSciNet review:
0280241

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**1.**H. T. Banks,*Variational problems involving functional differential equations*, SIAM J. Control 7 (1969), 1-17. MR 40 #1841. MR**248589****2.**H. T. Banks,*A maximum principle for optimal control problems with functional differential systems*, Bull. Amer. Math. Soc. 75 (1969), 158-161. MR 40 #6329. MR**253114****3.**H. T. Banks and M. Q. Jacobs,*The optimization of trajectories of linear functional differential equations*, SIAM J. Control 8 (1970), 461-488. MR**273486****4.**R. Bellman and K. L. Cooke,*Differential-difference equations*, Academic Press, New York, 1963. MR 26 #5259; errata, MR 29, p. 1399. MR**147745****5.**K. L. Cooke and D. W. Krumme,*Differential-difference equations and nonlinear initial-boundary value problems for linear hyperbolic partial differential equations*, J. Math. Anal. Appl. 24 (1968), 372-387. MR 38 #415. MR**232089****6.**R. V. Gamkrelidze,*On some extremal problems in the theory of differential equations with applications to the theory of optimal control*, J. Soc. Indust. Appl. Math. Ser. A. Control 3 (1965), 106-128. MR 33 #1162. MR**192937****7.**J. K. Hale and M. A. Cruz,*Existence, uniqueness, and continuous dependence for hereditary systems*, Ann. Mat. Pura Appl. 85 (1970), 63-81. MR**262633****8.**D. Henry,*Linear functional differential equations of neutral type in the space of continuous functions: representation of solutions and the adjoint equation*(to appear). MR**265713****9.**L. W. Neustadt,*An abstract variational theory with applications to a broad class of optimization problems*. II.*Applications*, SIAM J. Control 5 (1967), 90-137. MR 38 #5500. MR**237210****10.**L. W. Neustadt,*A general theory of extremals*, J. Comput. System Sci. 3 (1969), 57-92. MR 39 #4727. MR**243405**

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DOI:
https://doi.org/10.1090/S0002-9904-1971-12756-8