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Uncertain Optimal Control

Part of the book series: Springer Uncertainty Research ((SUR))

Abstract

Portfolio selection problem is a classical problem in financial economics of allocating personal wealth between investment in a risk-free security and investment in a single risk asset.

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References

  1. Merton R (1971) Optimal consumption and portfolio rules in a continuous time model. J Econ Theory 3:373–413

    Article  MathSciNet  Google Scholar 

  2. Kao E (1997) An introduction to stochastic processes. Wadsworth Publishing Company

    Google Scholar 

  3. Zhu Y (2010) Uncertain optimal control with application to a portfolio selection model. Cybern Syst 41(7):535–547

    Article  Google Scholar 

  4. Sheng L, Zhu Y (2013) Optimistic value model of uncertain optimal control. Int J Uncertain Fuzziness Knowl Based Syst 21:75–83 (Suppl 1)

    Google Scholar 

  5. Yong J, Zhou X (1999) Stochastic controls: hamiltonian systems and HJB equations. Springer, New York

    Book  Google Scholar 

  6. Bass F (1969) A new product growth for model consumer durables. Manag Sci 15(3):215–227

    Article  Google Scholar 

  7. Horsky D, Simon L (1983) Advertising and the diffusion of new products. Mark Sci 2(1):1–17

    Article  Google Scholar 

  8. Liu J (2000) On the dynamics of stochastic diffusion of manufacturing technology. Eur J Oper Res 124(5):601–614

    Article  MathSciNet  Google Scholar 

  9. Sheng L, Zhu Y, Hamalainen T (2013) An uncertain optimal control model with Hurwicz criterion. Appl Math Comput 224:412–421

    MathSciNet  MATH  Google Scholar 

  10. DeLara M, Doyen L (2008) Sustainable management of natural resources: mathematical models and methods. Springer, Berlin

    Google Scholar 

  11. Doyen L, Dumas P, Ambrosi P (2008) Optimal timing of \(CO_2\) mitigation policies for a cost-effectiveness model. Math Comput Model 48(5–6):882–897

    Article  Google Scholar 

  12. Nordhaus W (1994) Managing the global commons: the economics of climate change. MIT Press, Cambridge

    Google Scholar 

  13. Sheng L, Zhu Y, Yan H, Wang K (2017) Uncertain optimal control approach for \(CO_2\) mitigation problem. Asian J Control 19(6):1931–1942

    Article  MathSciNet  Google Scholar 

  14. Dirk E, John M (1995) Effects of model complexity on the performance of automated vehicle steering controllers: model development, validation and comparison. Veh Syst Dyn 24(2):163–181

    Article  Google Scholar 

  15. Marzbanrad J, Ahmadi G, Zohoor H, Hojjat Y (2004) Stochastic optimal preview control of a vehicle suspension. J Sound Vib 275(3):973–990

    Article  MathSciNet  Google Scholar 

  16. March C, Shim T (2007) Integrated control of suspension and front steering to enhance vehicle handling. Proc Inst Mech Eng Part D J Automob Eng 221(D4):377–391

    Article  Google Scholar 

  17. Chen X, Feng L, Soon O (2012) A self-adaptive memeplexes robust search scheme for solving stochastic demands vehicle routing problem. Int J Syst Sci 43(7):1347–1366

    Article  MathSciNet  Google Scholar 

Download references

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Correspondence to Yuanguo Zhu .

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Zhu, Y. (2019). Applications. In: Uncertain Optimal Control. Springer Uncertainty Research. Springer, Singapore. https://doi.org/10.1007/978-981-13-2134-4_9

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