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A zero-sum game approach for H∞ robust control of singularly perturbed bilinear quadratic systems
2017
Tehnički Vjesnik
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Original scientific paper A zero-sum game approach for H∞ robust control of continuous-time singularly perturbed bilinear quadratic systems with an additive disturbance input is presented. ...
quadratic systems is obtained. ...
linear-quadratic zero-sum dynamic games [3] . ...
doi:10.17559/tv-20161112172344
fatcat:bevj4ocw2jbwdpn2fc3flt5ppi
Book announcements
2000
Discrete Applied Mathematics
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Homogeneous
Codes
8.2 MacWilliams
Equations
8.3 Pless Power Moments
8.4 Gleason Polynomials
Problems
9 Designs and Games
9.1 Designs
9.2 Designs and Codes
9.3 Assmus-Mattson
Theorem and ...
5.5.3 Investment
and Production
Game
5.5.4 Activity Selection Game
5.5.5 Waste Disposal Game
5.6 Games with Complementarities
That Are Not Convex Games
5.6.1 Network Design Game
5.6.2 Max-Min ...
doi:10.1016/s0166-218x(00)90007-6
fatcat:cemhaoz7rzdmdoec7pjjqiur2a
Recent Developments on the Stability and Control of Stochastic Systems
2015
Mathematical Problems in Engineering
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All the reviewers' efforts in reviewing the papers are also very greatly acknowledged. ...
Acknowledgments We express our great appreciation to all the authors of this special issue for their high quality contributions. ...
The paper entitled "Evolutionary Game-Theoretic Solution for Virtual Routers with Padding Misbehavior in Cloud Computing" by X. ...
doi:10.1155/2015/454951
fatcat:wluyumkdt5gkbehfx75kqg3zzq
Page 1399 of Mathematical Reviews Vol. , Issue 99b
[page]
1991
Mathematical Reviews
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Engwerda, Computational aspects of the open-loop Nash equilibrium in linear quadratic games (1487-1506). ...
The next three chapters deal in depth with three specific problems, namely, with robust versions of the 1-median location problem, the scheduling problem, and the uncapacitated network design. ...
A Forecasting Tool for Predicting Australia's Domestic Airline Passenger Demand Using a Genetic Algorithm
2015
Journal of Aerospace Technology and Management
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The mean absolute percentage error in the out of sample testing dataset for the GAPAXDE and GARPKSDE quadratic models are 2.55 and 2.23%, respectively. ...
The modelling results have shown that both the quadratic GAPAXDE and GARPKSDE models are more accurate, reliable, and have greater predictive capability as compared to the linear models. ...
That is: • H 0 : µ linear ≤ µ quadratic • H 1 : µ linear > µ quadratic The results of t-tests are presented in Table 5 , which shows that the p-values for both the GAPAXDE and GARPKSDE tests are less ...
doi:10.5028/jatm.v7i4.475
fatcat:jodgya346ncrnmwrue6bpiffyi
Information markets vs. opinion pools
2005
Proceedings of the 6th ACM conference on Electronic commerce - EC '05
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We combine assessments of multiple experts via linear and logarithmic aggregation functions to form pooled predictions. Prices in information markets are used to derive market predictions. ...
In screening pooled expert predictions, we find that arithmetic average is a robust and efficient pooling function; weighting expert assessments according to their past performance does not improve accuracy ...
ACKNOWLEDGMENTS We thank Brian Galebach, the owner and operator of the ProbabilitySports and ProbabilityFootball websites, for providing us with such unique and valuable data. ...
doi:10.1145/1064009.1064016
dblp:conf/sigecom/ChenCMP05
fatcat:e3clhzglerdhrklb2stdpficky
Matrix-Valued Mean-Field-Type Games: Risk-Sensitive, Adversarial, and Risk-Neutral Linear-Quadratic Case
[article]
2019
arXiv
pre-print
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2019 pre-print arXiv:1904.11346v1 fatcat:mcn76qfccbgd7j7q2wy6uwflp4
In this paper we study a class of matrix-valued linear-quadratic mean-field-type games for both the risk-neutral, risk-sensitive and robust cases. ...
Finally, relationship between risk-sensitivity and robustness are established in the mean-field type context. ...
For a class of linear-quadratic risk-sensitive meanfield-type game problems driven by (matrix-valued) Brownian motions, we have designed a novel linear-quadratic risk-neutral robust mean-field-type game ...
arXiv:1904.11346v2
fatcat:b7pgplbhejapjjh5p7uopb2s6u
Modeling the search for tolerant-to-uncertainty monetary and fiscal policies under their interaction
2017
Economic Analysis Theory and Practice
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Example: robustness and discounting in a permanent income model. 2.8.1. The LQ permanent income model. 2.8.2. Solution when σ = 0. 2.8.3. Linear regulator for permanent income model. 2.8.4. ...
Two robust control problems. 2.4.1. Modified certainty equivalence principle. 2.5. Robust linear regulator. 2.6. More general misspecifications. 2.7. A simple algorithm. 2.7.1. ...
Acknowledgements For criticism of previous drafts and stimulating discussions of many issues we thank Fernando Alvarez, Luca Benati, Dirk Bergemann, V.V. Chari, Jack Y. John Doyle drew the picture. ...
doi:10.24891/ea.16.10.1972
fatcat:j7amapu6hnafrar7cf6cgoin3q
Pricing in linear-quadratic dynamic games
2012
2012 50th Annual Allerton Conference on Communication, Control, and Computing (Allerton)
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We study a hierarchical linear-quadratic game with many dynamically coupled Nash followers and an uncoupled leader. ...
The leader influences the game by choosing the quadratic dependence on control actions for each follower's cost function. ...
ACKNOWLEDGEMENTS The authors thank Murat Arcak, Anil Aswani, Andrew Lim, Claire Tomlin, and Ram Vasudevan for valuable discussions. ...
doi:10.1109/allerton.2012.6483440
dblp:conf/allerton/RatliffCCS12
fatcat:tzbsz5sqxna3zkio6dmxx55fe4
Robust Airline Fleet Assignment: Imposing Station Purity Using Station Decomposition
2006
Transportation Science
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Optimal manpower planning with temporal labor and contract period constraints
p. 350
Mechanism design for set cover games when elements are agents
p. 360
Graph bandwidth of weighted caterpillars ...
machines with
dynamic job arrivals
p. 162
Linear time algorithms for parallel machine scheduling
p. 172
A new method for retrieval based on relative entropy with smoothing
p. 183
Airplane boarding ...
doi:10.1287/trsc.1060.0153
fatcat:wrbz5xbygjeo5kc3aeqwrrnqyq
2015 Index IEEE Transactions on Automatic Control Vol. 60
2015
IEEE Transactions on Automatic Control
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., +, TAC May 2015 1422-1426 Open-Loop Nash Equilibria in a Class of Linear-Quadratic Difference Games With Constraints. ...
Guaracy, F.H.D., +, TAC Aug. 2015 2172-2176
Open-Loop Nash Equilibria in a Class of Linear-Quadratic Difference
Games With Constraints. ...
doi:10.1109/tac.2015.2512305
fatcat:5gut6qeomfh73fwfvehzujbr5q
Information Design in Concave Games
[article]
2022
arXiv
pre-print
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We study information design in games with a continuum of actions such that the players' payoffs are concave in their own actions. ...
players in the original game. ...
In a quadratic game, this is a system of linear equations. ...
arXiv:2202.10883v1
fatcat:fbxb355qh5hipk2wufyysdexem
Uniform-Price Mechanism Design for a Large Population of Dynamic Agents
[article]
2015
arXiv
pre-print
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In addition, we show that for linear quadratic problems with bounded parameters, the proposed mechanism can maximize the social welfare subject to a total resource constraint in ϵ-dominant strategy equilibrium ...
The coordination problem is formulated as a dynamic mechanism design problem. A mechanism is proposed based on the competitive equilibrium of the large population game. ...
We also applied the proposed mechanism to linear quadratic case to show its efficacy. ...
arXiv:1507.04374v2
fatcat:qjnv7x24hnaxhknxlh7v4v4n4i
H∞-Optimal Control for Robust Financial Asset and Input Purchasing Decisions
2013
Journal of Mathematical Finance
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This analysis formulates an approach for converting minimax LQ (linear-quadratic) tracking problems into LQ regulator designs, and develops a Matlab application program to calculate an H-infinity robust ...
Given that it exists, the program computes a minimax solution to the linear quadratic (LQ) soft-constrained game with constant coefficients for a general scalar model, and also to a class of matrix systems ...
The problem is formulated in expression (1) as a softconstrained linear-quadratic (LQ) game, which is a generalized version of that in [1] . ...
doi:10.4236/jmf.2013.33034
fatcat:74gg2wplz5a6reftowqyr6fzva
Simple Practical Classical-H2 Optimal Robust Controller
2006
Journal of Guidance Control and Dynamics
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The price for this reduction is paid by an increased value of the quadratic performance criterion from 24.93 to 36.98.
V. ...
., Essentials of Robust Control, Prentice-Hall, Upper Saddle River, NJ, 1998.
[2] Thompson, P., “Classical/H, Solution for a Robust Control Design Benchmark Problem,” Journal of Guidance, Control, and ...
doi:10.2514/1.20989
fatcat:cv237ltwavdmpbwpbbbjfkb5xq
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