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1

James, M. R. "Optimal Quantum Control Theory." Annual Review of Control, Robotics, and Autonomous Systems 4, no. 1 (May 3, 2021): 343–67. http://dx.doi.org/10.1146/annurev-control-061520-010444.

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This article explains some fundamental ideas concerning the optimal control of quantum systems through the study of a relatively simple two-level system coupled to optical fields. The model for this system includes both continuous and impulsive dynamics. Topics covered include open- and closed-loop control, impulsive control, open-loop optimal control, quantum filtering, and measurement feedback optimal control.
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2

Marden, Jason R., and Jeff S. Shamma. "Game Theory and Control." Annual Review of Control, Robotics, and Autonomous Systems 1, no. 1 (May 28, 2018): 105–34. http://dx.doi.org/10.1146/annurev-control-060117-105102.

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Game theory is the study of decision problems in which there are multiple decision makers and the quality of a decision maker's choice depends on both that choice and the choices of others. While game theory has been studied predominantly as a modeling paradigm in the mathematical social sciences, there is a strong connection to control systems in that a controller can be viewed as a decision-making entity. Accordingly, game theory is relevant in settings with multiple interacting controllers. This article presents an introduction to game theory, followed by a sampling of results in three specific control theory topics where game theory has played a significant role: ( a) zero-sum games, in which the two competing players are a controller and an adversarial environment; ( b) team games, in which several controllers pursue a common goal but have access to different information; and ( c) distributed control, in which both a game and online adaptive rules are designed to enable distributed interacting subsystems to achieve a collective objective.
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3

HERSHBERGER, WAYNE A. "Control Theory and Learning Theory." American Behavioral Scientist 34, no. 1 (September 1990): 55–66. http://dx.doi.org/10.1177/0002764290034001006.

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4

Shin, Seiichi. "Motion Control and Control Theory." IEEJ Transactions on Industry Applications 120, no. 1 (2000): 3–4. http://dx.doi.org/10.1541/ieejias.120.3.

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5

HOTZ, ANTHONY, and ROBERT E. SKELTON. "Covariance control theory." International Journal of Control 46, no. 1 (July 1987): 13–32. http://dx.doi.org/10.1080/00207178708933880.

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6

Cziko, Gary A. "Perceptual Control Theory." Educational Researcher 21, no. 9 (December 1992): 25–27. http://dx.doi.org/10.3102/0013189x021009025.

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7

Elliott, D. L. "Geometric control theory." IEEE Transactions on Automatic Control 45, no. 2 (February 2000): 376–77. http://dx.doi.org/10.1109/tac.2000.839969.

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8

Osipova, J. V. "Identity control theory." Moscow State University Bulletin. Series 18. Sociology and Political Science 22, no. 1 (January 1, 2016): 215–24. http://dx.doi.org/10.24290/1029-3736-2016-22-1-215-224.

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9

Hannon, Bruce. "Ecosystem control theory." Journal of Theoretical Biology 121, no. 4 (August 1986): 417–37. http://dx.doi.org/10.1016/s0022-5193(86)80100-x.

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10

Melzack, Ronald. "Gate control theory." Pain Forum 5, no. 2 (June 1996): 128–38. http://dx.doi.org/10.1016/s1082-3174(96)80050-x.

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11

Vakhrameev, S. A., and A. V. Sarychev. "Geometric control theory." Journal of Soviet Mathematics 40, no. 3 (February 1988): 384–447. http://dx.doi.org/10.1007/bf01092893.

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12

Lefkowitz, I. "Applied control theory." Automatica 21, no. 1 (January 1985): 110–11. http://dx.doi.org/10.1016/0005-1098(85)90104-9.

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13

Rodin, Ervin Y. "Semantic control theory." Applied Mathematics Letters 1, no. 1 (1988): 73–78. http://dx.doi.org/10.1016/0893-9659(88)90180-2.

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14

Wiendahl, Hans-Peter, and Jan-Wilhelm Breithaupt. "Automatic production control applying control theory." International Journal of Production Economics 63, no. 1 (January 2000): 33–46. http://dx.doi.org/10.1016/s0925-5273(98)00253-9.

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15

van der Schaft, Arjan. "Port-Hamiltonian Modeling for Control." Annual Review of Control, Robotics, and Autonomous Systems 3, no. 1 (May 3, 2020): 393–416. http://dx.doi.org/10.1146/annurev-control-081219-092250.

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This article provides a concise summary of the basic ideas and concepts in port-Hamiltonian systems theory and its use in analysis and control of complex multiphysics systems. It gives special attention to new and unexplored research directions and relations with other mathematical frameworks. Emergent control paradigms and open problems are indicated, including the relation with thermodynamics and the question of uniting the energy-processing view of control, as emphasized by port-Hamiltonian systems theory, with a complementary information-processing viewpoint.
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16

Lewis, Andrew D. "The Bountiful Intersection of Differential Geometry, Mechanics, and Control Theory." Annual Review of Control, Robotics, and Autonomous Systems 1, no. 1 (May 28, 2018): 135–58. http://dx.doi.org/10.1146/annurev-control-060117-105033.

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The areas of mechanics and control theory have a rich and productive history of interaction with the broad mathematical subject of differential geometry. This article provides an overview of these sorts of interplay in the areas of Riemannian and affine differential geometry and the geometry of vector distributions. It emphasizes areas where differential geometric methods have played a crucial role in solving problems whose solutions are difficult to achieve without access to these methods. It also emphasizes a concise and elegant presentation of the approach, rather than a detailed and concrete presentation. The results overviewed, while forming a coherent and elegant body of work, are limited in scope. The review closes with a discussion of why the approach is limited and a brief consideration of issues that must be resolved before the results of the type presented here can be extended.
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17

Chen, Can, Amit Surana, Anthony M. Bloch, and Indika Rajapakse. "Multilinear Control Systems Theory." SIAM Journal on Control and Optimization 59, no. 1 (January 2021): 749–76. http://dx.doi.org/10.1137/19m1262589.

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18

ABE, Hiroshi. "Nutrition and Control Theory." Journal of Nutritional Science and Vitaminology 37, Supplement (1991): S5—S12. http://dx.doi.org/10.3177/jnsv.37.supplement_s5.

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19

Tittle, Charles R., and Jack P. Gibbs. "A Theory about Control." Social Forces 75, no. 1 (September 1996): 346. http://dx.doi.org/10.2307/2580778.

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20

Tittle, Charles R., and Jack P. Gibbs. "A Theory about Control." Social Forces 75, no. 2 (December 1996): 743. http://dx.doi.org/10.2307/2580421.

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21

Deflem, Mathieu, and Jack P. Gibbs. "A Theory About Control." Contemporary Sociology 25, no. 4 (July 1996): 571. http://dx.doi.org/10.2307/2077152.

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22

Tittle, Charles R. "Refining control balance theory." Theoretical Criminology 8, no. 4 (November 2004): 395–428. http://dx.doi.org/10.1177/1362480604046657.

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23

Skolnick, Jerome. "Urban Crime Control Theory." Theoretical Criminology 3, no. 2 (May 1999): 231–38. http://dx.doi.org/10.1177/1362480699003002006.

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24

Ditton, Jason. "Urban Crime Control Theory." Theoretical Criminology 3, no. 2 (May 1999): 239–42. http://dx.doi.org/10.1177/1362480699003002007.

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25

BELL, D. J., and X. Y. LU. "Differential algebraic control theory." IMA Journal of Mathematical Control and Information 9, no. 4 (1992): 361–83. http://dx.doi.org/10.1093/imamci/9.4.361.

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26

Werschnik, J., and E. K. U. Gross. "Quantum optimal control theory." Journal of Physics B: Atomic, Molecular and Optical Physics 40, no. 18 (September 4, 2007): R175—R211. http://dx.doi.org/10.1088/0953-4075/40/18/r01.

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27

Kawan, Christoph. "Uniformly hyperbolic control theory." Annual Reviews in Control 44 (2017): 89–96. http://dx.doi.org/10.1016/j.arcontrol.2017.02.001.

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28

Jacobs, O. L. R. "Modern control system theory." Automatica 22, no. 2 (March 1986): 258–59. http://dx.doi.org/10.1016/0005-1098(86)90092-0.

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29

OHLIN, JENS DAVID, ELIES VAN SLIEDREGT, and THOMAS WEIGEND. "Assessing the Control-Theory." Leiden Journal of International Law 26, no. 3 (July 31, 2013): 725–46. http://dx.doi.org/10.1017/s0922156513000319.

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AbstractAs the first cases before the ICC proceed to the Appeals Chamber, the judges ought to critically evaluate the merits and demerits of the control-theory of perpetratorship and its related doctrines. The request for a possible recharacterization of the form of responsibility in the case ofKatangaand the recent acquittal of Ngudjolo can be taken as indications that the control-theory is problematic as a theory of liability. The authors, in a spirit of constructive criticism, invite the ICC Appeals Chamber to take this unique opportunity to reconsider or improve the control-theory as developed by the Pre-Trial Chambers in theLubangaandKatangacases.
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30

LIAO, JAMES C., and JAVIER DELGADO. "Dynamic Metabolic Control Theory." Annals of the New York Academy of Sciences 665, no. 1 Biochemical E (October 1992): 27–38. http://dx.doi.org/10.1111/j.1749-6632.1992.tb42571.x.

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31

Wallace, David. "Thermodynamics as Control Theory." Entropy 16, no. 2 (January 24, 2014): 699–725. http://dx.doi.org/10.3390/e16020699.

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32

FORD, EDWARD E. "On Understanding Control Theory." American Behavioral Scientist 34, no. 1 (September 1990): 117–18. http://dx.doi.org/10.1177/0002764290034001012.

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33

ARIMOTO, Suguru. "Theory of Learning Control." Journal of the Society of Mechanical Engineers 93, no. 856 (1990): 180–86. http://dx.doi.org/10.1299/jsmemag.93.856_180.

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34

TSUCHIYA, Takeshi. "Theory of Preview Control." Journal of the Society of Mechanical Engineers 93, no. 856 (1990): 192–97. http://dx.doi.org/10.1299/jsmemag.93.856_192.

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35

Farrell, F. T., and L. E. Jones. "Foliated control theory I." K-Theory 2, no. 3 (May 1988): 357–99. http://dx.doi.org/10.1007/bf00533389.

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36

Farrell, F. T., and L. E. Jones. "Foliated control theory, II." K-Theory 2, no. 3 (May 1988): 401–30. http://dx.doi.org/10.1007/bf00533390.

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37

Diop, Sette. "Elimination in control theory." Mathematics of Control, Signals, and Systems 4, no. 1 (March 1991): 17–32. http://dx.doi.org/10.1007/bf02551378.

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38

Parsanejad, Mohammadreza, Ebrahim Teimoury, and Abozar Parsanejad. "Supply Chain Simulation and Modeling with Theory of Control." International Journal of Modeling and Optimization 4, no. 2 (February 2014): 167–70. http://dx.doi.org/10.7763/ijmo.2014.v4.367.

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39

MITA, Tsutomu, and Shinji WAKUI. "Control of robots using modern control theory." Journal of the Japan Society for Precision Engineering 54, no. 5 (1988): 811–16. http://dx.doi.org/10.2493/jjspe.54.811.

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40

Zhengtao Ding, Zairong Xi, and Hong Wang. "Quantum mechanics, control theory and quantum control." Transactions of the Institute of Measurement and Control 30, no. 1 (March 2008): 17–32. http://dx.doi.org/10.1177/0142331207083485.

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41

Egami, T., and T. Tsuchiya. "PWM Inverter Control by System Control Theory." IFAC Proceedings Volumes 23, no. 8 (August 1990): 527–32. http://dx.doi.org/10.1016/s1474-6670(17)51877-7.

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42

Vakhrameev, S. A. "Morse theory and Lyusternik-Shnirelman theory in geometric control theory." Journal of Mathematical Sciences 71, no. 3 (September 1994): 2434–85. http://dx.doi.org/10.1007/bf02111558.

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43

Ros, Javier, Alberto Casas, Jasiel Najera, and Isidro Zabalza. "64048 QUANTITATIVE FEEDBACK THEORY CONTROL OF A HEXAGLIDE TYPE PARALLEL MANIPULATOR(Control of Multibody Systems)." Proceedings of the Asian Conference on Multibody Dynamics 2010.5 (2010): _64048–1_—_64048–10_. http://dx.doi.org/10.1299/jsmeacmd.2010.5._64048-1_.

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44

Madhav, Manu S., and Noah J. Cowan. "The Synergy Between Neuroscience and Control Theory: The Nervous System as Inspiration for Hard Control Challenges." Annual Review of Control, Robotics, and Autonomous Systems 3, no. 1 (May 3, 2020): 243–67. http://dx.doi.org/10.1146/annurev-control-060117-104856.

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Here, we review the role of control theory in modeling neural control systems through a top-down analysis approach. Specifically, we examine the role of the brain and central nervous system as the controller in the organism, connected to but isolated from the rest of the animal through insulated interfaces. Though biological and engineering control systems operate on similar principles, they differ in several critical features, which makes drawing inspiration from biology for engineering controllers challenging but worthwhile. We also outline a procedure that the control theorist can use to draw inspiration from the biological controller: starting from the intact, behaving animal; designing experiments to deconstruct and model hierarchies of feedback; modifying feedback topologies; perturbing inputs and plant dynamics; using the resultant outputs to perform system identification; and tuning and validating the resultant control-theoretic model using specially engineered robophysical models.
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45

FUKUSHIMA, Naoto, Syo OTA, Mehmet Selcuk ARSLAN, and Ichiro HAGIWARA. "B10 Energy Optimal Control Theory : An Optimal Control Theory Based on a New Framework of Control Problem." Proceedings of the Symposium on the Motion and Vibration Control 2009.11 (2009): 109–13. http://dx.doi.org/10.1299/jsmemovic.2009.11.109.

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46

Fujiwara, Yukihiro, and Nobuo Sugitani. "Application of Control Theory for Automotive Control System." IEEJ Transactions on Electronics, Information and Systems 118, no. 3 (1998): 297–300. http://dx.doi.org/10.1541/ieejeiss1987.118.3_297.

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47

Ohishi, Kiyoshi, Masaru Miyazaki, and Masahiro Fujita. "Sensorless Force Control Based on H.INF. Control Theory." IEEJ Transactions on Industry Applications 112, no. 9 (1992): 852–61. http://dx.doi.org/10.1541/ieejias.112.852.

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48

Ikeda, Yuichi, Takashi Nakajima, and Yuichi Chida. "Vehicular slip ratio control using nonlinear control theory." IFAC Proceedings Volumes 44, no. 1 (January 2011): 8403–8. http://dx.doi.org/10.3182/20110828-6-it-1002.01325.

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49

Seto, Kazuto. "Active Control: Control Theory as Viewed from Applications." Journal of Robotics and Mechatronics 6, no. 3 (June 20, 1994): 184–90. http://dx.doi.org/10.20965/jrm.1994.p0184.

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50

Herrmann, Avriel A., and Joseph Z. Ben-Asher. "Flight Control Law Clearance Using Optimal Control Theory." Journal of Aircraft 53, no. 2 (March 2016): 515–29. http://dx.doi.org/10.2514/1.c033517.

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