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Optimal Control and Dynamic Optimization

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Introduction to Applied Optimization

Part of the book series: Applied Optimization ((APOP,volume 80))

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Abstract

Optimal control problems involve vector decision variables. These problems are one of the most mathematically challenging problems in optimization theory.

This chapter is coauthored by Professor Benoit Morel, Engineering & Public Policy, Carnegie Mellon University.

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Bibliography

  1. Aris R. (1961), The Optimal Design of Chemical Reactors, Academic Press, London.

    MATH  Google Scholar 

  2. Bellman R. (1957), Dynamic Programming, Princeton University Press, Princeton, New Jersey.

    Google Scholar 

  3. Betts J. T. (2001), Practical Method for optimal control Using Nonlinear Programming, SIAM, Philadelphia, PA.

    Google Scholar 

  4. Boltyanskii V. G., R. V. Gamkrelidze, and L. S. Pontryagin (1956), On the theory of optimum processes (in Russian), Doklady Akad. Nauk SSSR, 110, no. 1.

    Google Scholar 

  5. Converse A. O. and G. D. Gross (1963), Optimal distillate policy in batch distillation, Industrial Engineering Chemistry Fundamentals, 2 ,217.

    Article  Google Scholar 

  6. Diwekar U. M. (1992), Unified approach to solving optimal designcontrol problems in batch distillation, Aiche Journal, 38,1551.

    Article  Google Scholar 

  7. Diwekar U. M. (1995), Batch Distillation: Simulation, Optimal Design and Control, Taylor and Francis Publishers Inc. Washington DC.

    Google Scholar 

  8. Diwekar, U. M., Malik, R. K., and K. P. Madhavan (1987), Optimal Reflux Rate Policy Determination for Multicomponent Batch Distillation Columns, Computers and chemical Engineering, 11,629.

    Article  Google Scholar 

  9. Dixit A. K. and Pindyck, R.S.(1994), Investment Under Uncertainty, Princeton University Press, Princeton, NJ.

    Google Scholar 

  10. Fan L. T. (1966), The Continuous Maximum Principle, John Wiley & Sons, New York.

    MATH  Google Scholar 

  11. Gilliland E. R. (1940), Multicomponent rectification. Estimation of the number of theoretical plates as a function of reflux, Industrial Engineering Chemistry, 32,1220.

    Article  Google Scholar 

  12. Kirk D. E. (1970), Optimal Control Theory An Introduction, Prentice Hall, Englewood Cliffs, N.J.

    Google Scholar 

  13. Naf U. G. (1994) Stochastic Simulation Using gPROMS, Computers and chemical Engineering, 18, S743.

    Article  Google Scholar 

  14. Merton R. C, and P. A. Samuelson (1990), Continuous-Time Finance, B. Blackwell Publishing, Cambridge Massachusetts, USA.

    Google Scholar 

  15. Pontryagin L. S. (1956), Some mathematical problems arising in connection with the theory of automatic control system (in Russian), Session of the Academic Sciences of the USSR on Scientific Problems of Automatic Industry, October 15–20.

    Google Scholar 

  16. Pontryagin L. S. (1957), Basic problems of automatic regulation and control (in Russian), Izdvo Akad Nauk SSSR.

    Google Scholar 

  17. Rico-Ramirez V., U. Diwekar, and B. Morel (2002), Real option theory from finance to batch distillation, submitted to Computers and Chemical Engineering.

    Google Scholar 

  18. Thompson G. L. and Sethi, S. P. (1994), optimal control Theory, Martinus Nijhoff Publishing, Boston, MA.

    Google Scholar 

  19. Troutman J. L. (1995), Variational Calculus and Optimal Control, Second Edition, Springer, New York, NY.

    Google Scholar 

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Diwekar, U.M. (2003). Optimal Control and Dynamic Optimization. In: Introduction to Applied Optimization. Applied Optimization, vol 80. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-3745-5_7

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  • DOI: https://doi.org/10.1007/978-1-4757-3745-5_7

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-3747-9

  • Online ISBN: 978-1-4757-3745-5

  • eBook Packages: Springer Book Archive

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