NDLI: Sufficient conditions of optimality for mean-field stochastic control problems

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2014 13th International Conference on Control Automation Robotics & Vision (ICARCV)

2012 12th International Conference on Control Automation Robotics & Vision (ICARCV)

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Sufficient conditions of optimality for mean-field stochastic control problems

Content Provider	IEEE Xplore Digital Library
Author	Jingtao Shi
Copyright Year	2012
Description	Author affiliation: School of Mathematics, Shandong University, Jinan, 250100, P.R. China (Jingtao Shi)
Abstract	This paper studies the optimal control problem for stochastic differential equations (SDEs) of mean-field type, in which the coefficients depend on the state of the solution process as well as its expected value. Moreover, the cost functional is also of mean-field type. This makes the control problem time inconsistent in the sense that the Bellman optimality principle does not hold. It is shown that the necessary conditions of optimality (Buckdahn et al., Appl. Math. Optim., vol. 64, pp. 197–216, 2011), along with some convexity/concavity conditions, constitute sufficient conditions of optimality for such problems. As an illustrating example, we apply the result to the linear quadratic stochastic optimal control problem of mean-field type.
Starting Page	747
Ending Page	752
File Size	137464
Page Count	6
File Format	PDF
ISBN	9781467318716
e-ISBN	9781467318723
e-ISBN	9781467318709
DOI	10.1109/ICARCV.2012.6485251
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-12-05
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Optimal control Equations Discrete wavelet transforms Process control Differential equations Stochastic processes
Content Type	Text
Resource Type	Article

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