Information transfer in stochastic optimal control with randomized strategies and directed information criterion
AuthorCharalambous, Charalambos D.
Kourtellaris, C. K.
PublisherInstitute of Electrical and Electronics Engineers Inc.
Source2016 IEEE 55th Conference on Decision and Control, CDC 2016
2016 IEEE 55th Conference on Decision and Control, CDC 2016
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We show that stochastic dynamical control systems are capable of information transfer from control processes to output processes, with operational meaning as defined by Shannon. Moreover, we show that optimal control strategies have a dual role, specifically, i) to transfer information from the control process to the output process, and ii) to stabilize the output process. We illustrate that information transfer is feasible by considering general Gaussian Linear Decision Models, and relate it to the well-known Linear-Quadratic-Gaussian (LQG) control theory. © 2016 IEEE.