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The risk-sensitive certainty equivalence principle

Published online by Cambridge University Press:  14 July 2016

Peter Whittle
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Abstract

A risk-sensitive certainty equivalence principle is deduced, expressed in Theorem 1, for a model with linear dynamics and observation rules, Gaussian noise and an exponential-quadratic criterion of the form (2). The senses in which one is now to understand certainty equivalence and the separation principle are discussed.

Keywords

RISK-SENSITIVITYOPTIMAL CONTROL
Type
Part 6—Allied Stochastic Processes
Information
Journal of Applied Probability , Volume 23 , Issue A: Essays in Time Series and Allied Processes , 1986 , pp. 383 - 388
Copyright
Copyright © 1986 Applied Probability Trust 

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References

Jacobson, D. H. (1973) Optimal stochastic linear systems with exponential performance criteria and their relation to deterministic differential games. IEEE Trans. Automatic Control AC-18, 124–131.Google Scholar
Jacobson, D. H. (1977) Extensions of Linear-Quadratic Control, Optimization and Matrix Theory. Academic Press, New York.Google Scholar
Theil, H. (1957) A note on certainty equivalence in dynamic planning. Econometrica 25, 346–349.Google Scholar
Whittle, P. (1981) Risk-sensitive linear/quadratic Gaussian control. Adv. Appl. Prob. 13, 764–777.Google Scholar
Whittle, P. (1982) Optimization over Time , Vol. 1. Wiley Interscience, New York.Google Scholar
Whittle, P. (1983) Prediction and Regulation by Linear Least Square Methods , 2nd edn. University of Minnesota Press, Minneapolis.Google Scholar
Whittle, P. and Kuhn, J. (1986) A Hamiltonian formulation of risk-sensitive linear/quadratic/Gaussian control. Int. J. Control. To appear.CrossRefGoogle Scholar