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1

Lennart, Ljung, ed. Control theory: Multivariable and nonlinear methods. London: Taylor & Francis, 2000.

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2

Conte, Giuseppe, Claude H. Moog, and Anna Maria Perdon. Algebraic Methods for Nonlinear Control Systems. London: Springer London, 2007. http://dx.doi.org/10.1007/978-1-84628-595-0.

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3

Glad, Torkel. Control theory: Multivariable and nonlinear methods. London: Taylor & Francis, 2000.

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4

Lu, X. Y. Differential algebraic methods in nonlinear control theory. Manchester: UMIST, 1993.

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5

Turner, Matthew C., and Declan G. Bates, eds. Mathematical Methods for Robust and Nonlinear Control. London: Springer London, 2007. http://dx.doi.org/10.1007/978-1-84800-025-4.

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6

Max-plus methods for nonlinear control and estimation. Boston: Birkhäuser, 2006.

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7

Max-plus methods for nonlinear control and estimation. Boston, MA: Birkhauser, 2005.

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8

Martínez-Guerra, Rafael, Oscar Martínez-Fuentes, and Juan Javier Montesinos-García. Algebraic and Differential Methods for Nonlinear Control Theory. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-12025-2.

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9

Allgüwer, F., P. Fleming, P. Kokotovic, A. B. Kurzhanski, H. Kwakernaak, A. Rantzer, J. N. Tsitsiklis, Francesco Bullo, and Kenji Fujimoto, eds. Lagrangian and Hamiltonian Methods for Nonlinear Control 2006. Berlin, Heidelberg: Springer Berlin Heidelberg, 2007. http://dx.doi.org/10.1007/978-3-540-73890-9.

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10

Fliess, M., and M. Hazewinkel, eds. Algebraic and Geometric Methods in Nonlinear Control Theory. Dordrecht: Springer Netherlands, 1986. http://dx.doi.org/10.1007/978-94-009-4706-1.

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11

M, Ananievski Igor, Isidori Alberto, Reshmin Sergey A, Schuppen J. H. van, Sontag E. D, Thoma M. (Manfred), and SpringerLink (Online service), eds. Control of Nonlinear Dynamical Systems: Methods and Applications. Berlin, Heidelberg: Springer-Verlag Berlin Heidelberg, 2008.

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12

C, Turner Matthew, and Bates Declan, eds. Mathematical methods for robust and nonlinear control: EPSRC Summer School. Berlin: Springer, 2007.

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13

Betts, John T. Practical methods for optimal control and estimation using nonlinear programming. 2nd ed. Philadelphia: Society for Industrial and Applied Mathematics, 2009.

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14

Betts, John T. Practical methods for optimal control and estimation using nonlinear programming. 2nd ed. Philadelphia: Society for Industrial and Applied Mathematics, 2010.

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15

Betts, John T. Practical methods for optimal control and estimation using nonlinear programming. 2nd ed. Philadelphia: Society for Industrial and Applied Mathematics, 2009.

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16

Kirches, Christian. Fast Numerical Methods for Mixed-Integer Nonlinear Model-Predictive Control. Wiesbaden: Vieweg+Teubner Verlag, 2011. http://dx.doi.org/10.1007/978-3-8348-8202-8.

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17

V, Kokotović Petar, ed. Robust nonlinear control design: State-space and Lyapunov techniques. Boston: Birkhäuser, 1996.

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18

Christofides, Panagiotis D. Networked and Distributed Predictive Control: Methods and Nonlinear Process Network Applications. London: Springer-Verlag London Limited, 2011.

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19

1964-, Ponomarenko D. V., and Smirnova Vera B. 1946-, eds. Frequency-domain methods for nonlinear analysis: Theory and applications. Singapore: World Scientific, 1996.

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20

Bilinear control systems: Matrices in action. Dordrecht: Springer, 2009.

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21

Drábek, Pavel. Methods of Nonlinear Analysis: Applications to Differential Equations. 2nd ed. Basel: Springer Basel, 2013.

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22

E, Sherstobitov Vladimir, and Soms L. N, eds. Control of laser beam characteristics and nonlinear methods for wavefront control: Laser Optics 2000 : 26-30 June, 2000, St. Petersburg, Russia. Bellingham, Wash: SPIE, 2001.

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23

Francesco, Bullo, and Fujimoto Kenji 1947-, eds. Lagrangian and Hamiltonian methods for nonlinear control 2006: Proceedings from the 3rd IFAC workshop, Nagoya, Japan, July 2006. Berlin: Springer, 2007.

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24

A, Astolfi, Gordillo Francisco 1964-, Schaft, A. J. van der, and International Federation of Automatic Control, eds. Lagrangian and Hamiltonian methods for nonlinear control 2003: A proceedings volume from the 2nd IFAC Workshop, Seville, Spain, 3-5 April, 2003. Oxford: Published for the International Federation of Automatic Control by Elsevier, 2003.

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25

IFAC Workshop (2000 Princeton, N.J.). Lagrangian and Hamiltonian methods for nonlinear control: A proceedings volume from the IFAC Workshop, Princeton, New Jersey, USA, 16-18 March 2000. Oxford: Pergamon, 2000.

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26

1964-, Ancona Fabio, ed. Control methods in PDE-dynamical systems: AMS-IMS-SIAM Joint Summer Research Conference, July 3-7, 2005, Snowbird, Utah. Providence, R.I: American Mathematical Society, 2007.

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27

Zhukova, Galina. Mathematical methods for management decisions. ru: INFRA-M Academic Publishing LLC., 2020. http://dx.doi.org/10.12737/1084987.

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The purpose of this manual is to help students to master basic concepts and research methods used in the theory of optimal control. The foundations of mathematical modeling. Systematic mathematical methods for managerial decision-making in linear, nonlinear and dynamic problems of optimal socio-economic processes. Each section contains numerous examples of the application of these methods to solve applied problems. Much attention is paid to comparison of the proposed methods, a proper choice of study design problems, case studies and analysis of complex situations that arise in the study of these topics theory of decision-making, methods of optimal control. It is recommended that teachers, students and graduate students studying advanced mathematics.
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28

Lamberto, Rondoni, Mitra Mala, and SpringerLink (Online service), eds. Applications of Chaos and Nonlinear Dynamics in Science and Engineering - Vol. 2. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012.

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29

Fuchs, Armin. Nonlinear Dynamics in Complex Systems: Theory and Applications for the Life-, Neuro- and Natural Sciences. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013.

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30

service), SpringerLink (Online, ed. Linear-Quadratic Controls in Risk-Averse Decision Making: Performance-Measure Statistics and Control Decision Optimization. New York, NY: Springer New York, 2013.

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31

Kotta, Ülle. Inversion method in the discrete-time nonlinear control systems synthesis problems. Berlin: Springer-Verlag, 1995.

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32

Smith, Ralph C. A nonlinear physics-based optimal control method for magnetostrictive actuators. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1998.

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33

Kotta, Ülle. Inversion Method in the Discrete-time Nonlinear Control Systems Synthesis Problems. Berlin, Heidelberg: Springer Berlin Heidelberg, 1995. http://dx.doi.org/10.1007/3-540-19966-7.

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34

T, Ivancevic Tijana, ed. Complex nonlinearity: Chaos, phase transitions, topology change, and path integrals. Berlin: Springer, 2008.

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35

Elkin, V. I. Redukt︠s︡ii︠a︡ nelineĭnykh upravli︠a︡emykh sistem: Dekompozit︠s︡ii︠a︡ i invariantnostʹ po vozmushchenii︠a︡m. Moskva: Izd-vo FAZIS, 2003.

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36

Aumasson, Claude. Methode iterative de type gradient projecte generalise pour l'optimisation parametrique et fonctionnelle de systemes dynamiques soumis a des contraintes. Chatillon, France: Office national d'etudes et de recherches aerospatiales, 1988.

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37

Kleiber, Michał. Parameter sensitivity in nonlinear mechanics: Theory and finite element computations. Chichester [England]: John Wiley, 1997.

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38

Touri, Behrouz. Product of Random Stochastic Matrices and Distributed Averaging. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012.

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39

1943-, Gossez J. P., and Bonheure Denis, eds. Nonlinear elliptic partial differential equations: Workshop in celebration of Jean-Pierre Gossez's 65th birthday, September 2-4, 2009, Université libre de Bruxelles, Belgium. Providence, R.I: American Mathematical Society, 2011.

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40

Geometric, control, and numerical aspects of nonholonomic systems. Berlin: Springer, 2002.

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41

Spain) UIMP-RSME Lluis Santaló Summer (2012 Santander. Recent advances in real complexity and computation: UIMP-RSME Lluis A. Santaló Summer School, Recent advances in real complexity and computation, July 16-20, 2012, Universidad Internacional Menéndez Pelayo, Santander, Spain. Edited by Montaña, Jose Luis, 1961- editor of compilation and Pardo, L. M. (Luis M.), editor of compilation. Providence, Rhode Island: American Mathematical Society, 2013.

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42

Hyperbolic partial differential equations and geometric optics. Providence, R.I: American Mathematical Society, 2012.

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43

ZnO bao mo zhi bei ji qi guang, dian xing neng yan jiu. Shanghai Shi: Shanghai da xue chu ban she, 2010.

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44

1966-, Pérez Joaquín, and Galvez José A. 1972-, eds. Geometric analysis: Partial differential equations and surfaces : UIMP-RSME Santaló Summer School geometric analysis, June 28-July 2, 2010, University of Granada, Granada, Spain. Providence, R.I: American Mathematical Society, 2012.

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45

Moog, Claude H., Anna Maria Perdon, and Giuseppe Conte. Algebraic Methods for Nonlinear Control Systems. Springer, 2007.

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46

Moog, Claude H., Anna Maria Perdon, and Giuseppe Conte. Algebraic Methods for Nonlinear Control Systems. Springer, 2010.

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47

Ljung, Lennart, and Torkel Glad. Control Theory: Multivariable and Nonlinear Methods. Taylor & Francis Group, 2000.

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48

1945-, Fliess M., and Hazewinkel Michiel, eds. Algebraic and geometric methods in nonlinear control theory. Dordrecht: D. Reidel Pub. Co., 1986.

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49

Hazewinkel, Michiel, and M. Fliess. Algebraic and Geometric Methods in Nonlinear Control Theory. Springer, 2011.

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50

Algebraic Methods for Nonlinear Control Systems (Communications and Control Engineering). 2nd ed. Springer, 2006.

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