Game-theoretic linear quadratic method for air mission control

2002 ◽  
Author(s):  
H. Mukai ◽  
A. Tanikawa ◽  
I. Tunay ◽  
I.A. Ozcan ◽  
I.N. Katz ◽  
...  
Keyword(s):  
Linear Quadratic ◽  
Game Theoretic ◽  
Mission Control

Game theoretic-based optimal load frequency control of power systems with network-induced delays

2019 ◽  
Vol 42 (1) ◽  
pp. 22-30
Author(s):  
Mingjin Yang ◽  
Yu-Long Wang ◽  
Deliang Zeng ◽  
Tengfei Zhang ◽  
Jicai Li
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Power Systems ◽  
Frequency Control ◽  
Load Frequency Control ◽  
Linear Quadratic ◽  
Load Frequency ◽  
Optimal Load ◽  
Game Theoretic

This paper presents a game theoretic-based load frequency control (LFC) scheme for power systems with network-induced delays. First, a dynamic model of two-area LFC systems is developed under consideration of bounded network-induced delays. Second, the optimal control problem of power systems with network-induced delays is formulated as a stochastic linear quadratic game. Then, by using differential games and Lyapunov theories, the game theoretic-based optimal load frequency controllers are designed for the system under consideration, and an algorithm is presented to make the desired optimal LFC gains solvable. Finally, a case study is carried out to show the effectiveness of the proposed method.

On closed-loop equilibrium strategies for mean-field stochastic linear quadratic problems

2020 ◽  
Vol 26 ◽  
pp. 41
Author(s):  
Tianxiao Wang
Keyword(s):  
Optimal Control ◽  
Closed Loop ◽  
Optimal Control Problems ◽  
Mean Field ◽  
Open Loop ◽  
Time Inconsistency ◽  
Control Problems ◽  
Linear Quadratic ◽  
Linear Quadratic Optimal Control ◽  
Equilibrium Strategies

This article is concerned with linear quadratic optimal control problems of mean-field stochastic differential equations (MF-SDE) with deterministic coefficients. To treat the time inconsistency of the optimal control problems, linear closed-loop equilibrium strategies are introduced and characterized by variational approach. Our developed methodology drops the delicate convergence procedures in Yong [Trans. Amer. Math. Soc. 369 (2017) 5467–5523]. When the MF-SDE reduces to SDE, our Riccati system coincides with the analogue in Yong [Trans. Amer. Math. Soc. 369 (2017) 5467–5523]. However, these two systems are in general different from each other due to the conditional mean-field terms in the MF-SDE. Eventually, the comparisons with pre-committed optimal strategies, open-loop equilibrium strategies are given in details.

Stability in the informal value transfer systems: norms of trust or institutions of control?

2017 ◽  
pp. 120-130
Author(s):  
A. Lyasko
Keyword(s):  
Social Control ◽  
Institutional Economics ◽  
Theoretic Model ◽  
Transfer System ◽  
Value Transfer ◽  
Partner Interaction ◽  
Game Theoretic ◽  
Game Theoretic Model ◽  
Informal Value Transfer System

Informal financial operations exist in the shadow of official regulation and cannot be protected by the formal legal instruments, therefore raising concerns about the enforcement of obligations taken by their participants. This paper analyzes two alternative types of auxiliary institutions, which can coordinate expectations of the members of informal value transfer systems, namely attitudes of trust and norms of social control. It offers some preliminary approaches to creating a game-theoretic model of partner interaction in the informal value transfer system. It also sheds light on the perspectives of further studies in this area of institutional economics.

Influential individuals: Approach to modeling

2018 ◽  
pp. 114-131
Author(s):  
O. Yu. Bondarenko
Keyword(s):  
Social Interactions ◽  
Social Status ◽  
Experimental Approach ◽  
Expert Knowledge ◽  
Formal Models ◽  
Leader Influence ◽  
Learning Game ◽  
Game Theoretic ◽  
Asymmetric Interactions ◽  
Influential Individuals

his article explores theoretical and experimental approach to modeling social interactions. Communication and exchange of information with other people affect individual’s behavior in numerous areas. Generally, such influence is exerted by leaders, outstanding individuals who have a higher social status or expert knowledge. Social interactions are analyzed in the models of social learning, game theoretic models, conformity models, etc. However, there is a lack of formal models of asymmetric interactions. Such models could help elicit certain qualities characterizing higher social status and perception of status by other individuals, find the presence of leader influence and analyze its mechanism.

Glucose Calibration Modeling in Blood with Spline Regression Approaching to Non-Invasive Tools

2018 ◽  
pp. 144-149
Author(s):  
Ria Hayatun Nur ◽  
Indahwati A ◽  
Erfiani A
Keyword(s):  
Diabetes Mellitus ◽  
Linear Regression ◽  
Good Health ◽  
Cubic Spline ◽  
The Body ◽  
Spline Regression ◽  
Linear Quadratic ◽  
Important Thing ◽  
Non Invasive

In this globalization era, health is the most important thing to be able to run various activities. Without good health, this will hinder many activities. Diabetes mellitus is one of the diseases caused by unhealty lifestyle.There are many treatments that can be done to prevent the occurrence of diabetes. The treatments are giving the insulin and also checking the glucose rate to the patients.Checking the glucose rate needs the tools which is safety to the body. This research want to develop non invasive tool which is safety and do not injure the patient. The purpose of this research is also finding the best model which derived from Linear, Quadratic, and Cubic Spline Regression. Some respondents were taking to get the glucose measuring by invasive and non invasive tools. It could be seen clearly that Spline Linear Regression was the best model than Quadratic and Cubic Spline Regression. It had 70% and 33.939 for R2 and RMSEP respectively.

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