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Journal ArticleDOI

Some properties of the dual adaptive stochastic control algorithm

P. Dersin, +2 more
- 01 Oct 1981 - 
- Vol. 26, Iss: 5, pp 1001-1008
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TLDR
In this paper, the authors compare the properties of the suboptimal dual adaptive stochastic control with those of the optimal control when plant dynamic contain multiplicative white noise parameters.
Abstract
The purpose of this paper is to compare analytically the properties of the suboptimal dual adaptive stochastic control with those of the optimal control, when plant dynamic contain multiplicative white noise parameters. A simple scalar example is used for this analysis.

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Citations
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Exploration bonuses and dual control

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Optimal Estimation and Scheduling in Aquifer Remediation With Incomplete Information

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Feedback control methods for drug dosage optimisation. Concepts, classification and clinical application.

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Policies for simultaneous estimation and optimization

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An adaptive dual controller for a MIMO-ARMA system

TL;DR: In this article, an adaptive dual controller is presented for a multi-input multi-output (MIMO) autoregressive moving average (ARMA) system, where the dual controller modifies the cautious control design by numerator and denominator correction terms which depend upon the sensitivity functions of the expected future cost.
References
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Journal ArticleDOI

Dual effect, certainty equivalence, and separation in stochastic control

TL;DR: In this paper, the difference between the feedback and closed-loop policies is discussed, and it is shown how the closed loop policy has the important property that it can be actively adaptive, while the feedback policy can only be passively adaptive.
Journal ArticleDOI

Optimal linear regulators: The discrete-time case

TL;DR: In this paper the optimal discrete-time linear-quadratic regulator problem is carefully presented and the basic results are reviewed.
Journal ArticleDOI

Wide-sense adaptive dual control for nonlinear stochastic systems

TL;DR: In this paper, a new approach is presented for the problem of stochastic control of nonlinear systems, which takes into account the past observations and also the future observation program.
Proceedings ArticleDOI

An actively adaptive control for linear systems with random parameters via the dual control approach

TL;DR: In this paper, a closed-loop control of a discrete-time linear system with possibly time-varying random parameters in the presence of input and output noise is presented.
Proceedings ArticleDOI

The uncertainty threshold principle: Some fundamental limitations of optimal decision making under dynamic uncertainty

TL;DR: In this article, it is shown that the infinite horizon solution does not exist if the parameter uncertainty exceeds a certain quantifiable threshold, which is called the uncertainty threshold principle, and the philosophical and design implications of this result are discussed.
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