Optimal money stock changes and dynamic analysis of an exchange rate union : an application of linear-quadratic gaussian frameworks to a multi-country world model

1983 ◽  
Vol 14 (8) ◽  
pp. 953-978
Author(s):  
MASANAO AOKI
Keyword(s):  
Exchange Rate ◽  
Dynamic Analysis ◽  
Money Stock ◽  
Linear Quadratic ◽  
Linear Quadratic Gaussian ◽  
World Model

scholarly journals Modified LQG/LTR Control Methodology in Active Structural Control

2003 ◽  
Vol 22 (2) ◽  
pp. 97-108 ◽  
Author(s):  
Yan Sheng ◽  
Chao Wang ◽  
Ying Pan ◽  
Xinhua Zhang
Keyword(s):  
Structural Control ◽  
Signal To Noise Ratio ◽  
Open Loop ◽  
Control Force ◽  
Linear Quadratic ◽  
Linear Quadratic Gaussian ◽  
Control Approach ◽  
Active Structural Control ◽  
Loop Transfer Recovery ◽  
Control Methodology

This paper presents a new active structural control design methodology comparing the conventional linear-quadratic-Gaussian synthesis with a loop-transfer-recovery (LQG/LTR) control approach for structures subjected to ground excitations. It results in an open-loop stable controller. Also the closed-loop stability can be guaranteed. More importantly, the value of the controller's gain required for a given degree of LTR is orders of magnitude less than what is required in the conventional LQG/LTR approach. Additionally, for the same value of gain, the proposed controller achieves a much better degree of recovery than the LQG/LTR-based controller. Once this controller is obtained, the problems of control force saturation are either eliminated or at least dampened, and the controller band-width is reduced and consequently the control signal to noise ratio at the input point of the dynamic system is increased. Finally, numerical examples illustrate the above advantages.

Neighborhood-Based Information Costs

2021 ◽  
Vol 111 (10) ◽  
pp. 3225-3255
Author(s):  
Benjamin Hébert ◽  
Michael Woodford
Keyword(s):  
Mutual Information ◽  
Topological Structure ◽  
Cost Functions ◽  
Binary Choice ◽  
Information Costs ◽  
Linear Quadratic ◽  
Rational Inattention ◽  
Linear Quadratic Gaussian ◽  
Perceptual Judgments ◽  
Perceptual Distance

We derive a new cost of information in rational inattention problems, the neighborhood-based cost functions, starting from the observation that many settings involve exogenous states with a topological structure. These cost functions are uniformly posterior separable and capture notions of perceptual distance. This second property ensures that neighborhood-based costs, unlike mutual information, make accurate predictions about behavior in perceptual experiments. We compare the implications of our neighborhood-based cost functions with those of the mutual information in a series of applications: perceptual judgments, the general environment of binary choice, regime-change games, and linear-quadratic-Gaussian settings. (JEL C70, D11, D82, D83, D91)

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