Foundations of the Calculus of Variations and Optimal Control
作者： Terry L. Friesz
DOI: 10.1007/978-0-387-72778-3_3
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摘要: In this chapter, we treat time as a continuum and derive optimality conditions for the extremization of certain functionals.We consider both variational calculus problems that are not expressed optimal control themselves. relie on classical notion variation functional. This perspective is fastest way to obtain useful results allow simple example be solved bolster one’s understanding continuous-time dynamic optimization.
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sci-hub.st 参考文章(18)
Gerald Luther Thompson, Suresh P. Sethi, Optimal Control Theory : Applications to Management Science and Economics ,(2000)
P. Venkataraman, Applied Optimization with MATLAB Programming ,(2001)
Gilbert Ames Bliss, Lectures on the calculus of variations ,(1946)
U. Brechtken-Manderscheid, Introduction to the Calculus of Variations ,(2014)
Alpha C. Chiang, Elements of Dynamic Optimization ,(1992)
Jerry B. Marion, J. Gillis, Classical dynamics of particles and systems ,(1965)
Michael D. Intriligator, Mathematical optimization and economic theory ,(1971)
Kenneth Joseph Arrow, Mordecai Kurz, Public Investment, the Rate of Return, and Optimal Fiscal Policy ,(1970)
Magnus Rudolph Hestenes, Calculus of variations and optimal control theory ,(1966)
Stuart E Dreyfus, Dynamic Programming and the Calculus of Variations Journal of Mathematical Analysis and Applications. ,vol. 1, pp. 228- 239 ,(1960) , 10.1016/0022-247X(60)90024-X