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Avtomat. i Telemekh., 2006, Issue 1, Pages 3–51 (Mi at1125)  

This article is cited in 89 scientific papers (total in 89 papers)

Surveys

Singular perturbations in control problems

M. G. Dmitrieva, G. A. Kurinab

a Russian State Social University, Moscow, Russia
b Voronezh State Academy of Forestry Engineering

Abstract: Results on singularly perturbed control obtained since 1982 are reviewed.

Full text: PDF file (455 kB)
References: PDF file   HTML file

English version:
Automation and Remote Control, 2006, 67:1, 1–43

Bibliographic databases:

PACS: 02.30.Yy
Presented by the member of Editorial Board: . . 

Received: 21.05.2004

Citation: M. G. Dmitriev, G. A. Kurina, “Singular perturbations in control problems”, Avtomat. i Telemekh., 2006, no. 1, 3–51; Autom. Remote Control, 67:1 (2006), 1–43

Citation in format AMSBIB
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    2. Glizer V.Y., “L-2-stabilizability conditions for a class of singularly perturbed delayed systems”, Ninth IASTED International Conference on Control and Applications, 2007, 204–208  mathscinet  adsnasa  isi
    3. N. V. Voropaeva, “Decomposition of problems of optimal control and estimation for discrete systems with fast and slow variables”, Autom. Remote Control, 69:6 (2008), 920–928  mathnet  crossref  mathscinet  zmath  isi
    4. Ya. O. Grudo, A. I. Kalinin, “Asymptotic method for solving the time-optimal control problem for a nonlinear singularly perturbed system”, Comput. Math. Math. Phys., 48:11 (2008), 1945–1954  mathnet  crossref  mathscinet  isi
    5. Grudo Ya.O., Kalinin A.I., “Asymptotic Optimization of Nonlinear Singularly Perturbed Systems with Control Constrained by a Hypersphere”, Differ Equ, 44:11 (2008), 1533–1542  crossref  mathscinet  zmath  isi
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    11. I. V. Grebennikova, “Ob iteratsionnom metode postroeniya optimalnogo upravleniya singulyarno vozmuschennymi sistemami s zapazdyvaniem”, Izv. Sarat. un-ta. Nov. ser. Ser. Matematika. Mekhanika. Informatika, 9:3 (2009), 14–22  mathnet  crossref
    12. A. A. Bobtsov, N. A. Nikolaev, “Output control of linear systems with unmodeled dynamics”, Autom. Remote Control, 70:6 (2009), 1019–1025  mathnet  crossref  mathscinet  zmath  isi
    13. Liu L.-L., Peng J.-G., Wu B.-W., “Robust Stability of Singularly Perturbed Systems with State Delays”, Proceedings of 2009 International Workshop on Information Security and Application, 2009, 19–21  isi
    14. A. M. Tsykunov, “Decentralized robust control for multiconnected objects with structural uncertainty”, Autom. Remote Control, 71:12 (2010), 2595–2604  mathnet  crossref  mathscinet  zmath  isi
    15. A. M. Tsykunov, “Robastnoe upravlenie lineinymi singulyarno-vozmuschennymi ob'ektami”, Probl. upravl., 2 (2010), 2–10  mathnet
    16. A. I. Kalinin, “Asymptotic behavior of the solution of a singularly perturbed linear-quadratic terminal control problem”, Comput. Math. Math. Phys., 50:3 (2010), 403–413  mathnet  crossref  mathscinet  adsnasa  isi
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    19. Gao Ya., Lu G., Wang Zh., “Passivity Analysis of Uncertain Singularly Perturbed Systems”, IEEE Transactions on Circuits and Systems II-Express Briefs, 57:6 (2010), 486–490  crossref  isi
    20. Zhu J.J., Yang X., Hodel A.S., “A Singular Perturbation Approach for Time-Domain Assessment of Phase Margin”, 2010 American Control Conference, Proceedings of the American Control Conference, 2010, 315–322  isi
    21. Glizer V.Y., “Linear-Quadratic Optimal Control Problem for Singularly Perturbed Systems with Small Delays”, Nonlinear Analysis and Optimization II: Optimization, Contemporary Mathematics, 514, 2010, 155–188  crossref  mathscinet  zmath  isi
    22. N. V. Voropaeva, “Dekompozitsiya diskretnykh nelineinykh sistem s bystrymi i medlennymi peremennymi”, Vestn. SamGU. Estestvennonauchn. ser., 2010, no. 4(78), 28–41  mathnet
    23. A. S. Omuraliev, R. R. Rafatov, “On the asymptotics of solution of one problem of optimal control of the small-parameter parabolic equation”, Autom. Remote Control, 72:1 (2011), 61–73  mathnet  crossref  mathscinet  zmath  isi  elib
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    25. Bardi M., Cesaroni A., “Optimal Control with Random Parameters: A Multiscale Approach”, European Journal of Control, 17:1 (2011), 30–45  crossref  mathscinet  zmath  adsnasa  isi
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    28. A. I. Kalinin, “Asymptotic solution method for the control of the minimal force for a linear singularly perturbed system”, Comput. Math. Math. Phys., 51:12 (2011), 1989–1999  mathnet  crossref  mathscinet  isi
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    32. Kurina G.A., Smirnova E.V., “Asymptotic Solution of Optimal Control Problems with a Small Parameter and Intermediate Points in Performance Index”, Complex Analysis and Dynamical Systems IV, Pt 1: Function Theory and Optimization, Contemporary Mathematics, 553, eds. Agranovsky M., BenArtzi M., Galloway G., Karp L., Reich S., Shoikhet D., Weinstein G., Zalcman L., Amer Mathematical Soc, 2011, 173–199  crossref  mathscinet  zmath  isi
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    53. Jogwar S.S., Rangarajan S., Daoutidis P., “Reduction of Complex Energy-Integrated Process Networks Using Graph Theory”, Comput. Chem. Eng., 79 (2015), 46–58  crossref  isi  elib
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    57. Wang Ya., Liu W., “Integral Sliding Mode Control of Lur'E Singularly Perturbed Systems”, Math. Probl. Eng., 2015, 926762  crossref  mathscinet  isi
    58. Wang Ya., Liu W., “Robust Observer-Based Feedback Control For Lipschitz Singularly Perturbed Systems”, Math. Probl. Eng., 2015, 585301  crossref  mathscinet  isi
    59. M. A. Kalashnikova, G. A. Kurina, “Asimptoticheskoe reshenie lineino-kvadratichnykh zadach s deshevymi upravleniyami raznoi tseny”, Tr. IMM UrO RAN, 22, no. 1, 2016, 124–139  mathnet  mathscinet  elib
    60. A. O. Blinov, M. G. Dmitriev, “Chuvstvitelnost resheniya nekotorykh vozmuschennykh zadach optimizatsii”, Programmnye sistemy: teoriya i prilozheniya, 7:1 (2016), 47–59  mathnet
    61. A. I. Kalinin, L. I. Lavrinovich, “Application of the small parameter method to the singularly perturbed linear-quadratic optimal control problem”, Autom. Remote Control, 77:5 (2016), 751–763  mathnet  crossref  isi  elib  elib
    62. Glizer V.Y., “Controllability Conditions of Linear Singularly Perturbed Systems With Small State and Input Delays”, Math. Control Signal Syst., 28:1 (2016), 1  crossref  mathscinet  zmath  isi  elib  scopus
    63. Dmitriev M.G. Makarov D.A., “the Suboptimality of Stabilizing Regulator in a Quasilinear System With State-Depended Coefficients”, 2016 International Siberian Conference on Control and Communications (Sibcon), IEEE International Siberian Conference on Control and Communications, ed. Stukach O., IEEE, 2016  isi
    64. Glizer V.Y., Fridman E., Feigin Yu., “a Novel Approach To Exact Slow-Fast Decomposition of Linear Singularly Perturbed Systems With Small Delays”, SIAM J. Control Optim., 55:1 (2017), 236–274  crossref  mathscinet  zmath  isi  scopus
    65. Kurina G., Nguyen Thi Hoai, “First Asymptotic Approximations To a Solution of Singularly Perturbed Optimal Control Problem With Intersecting Solutions of Degenerate Problem”, Appl. Math. Comput., 292 (2017), 356–374  crossref  mathscinet  isi  elib  scopus
    66. Kurina G., Kalashnikova M., “High Order Asymptotic Solution of Linear-Quadratic Optimal Control Problems Under Cheap Controls With Two Different Costs”, 2017 21St International Conference on System Theory, Control and Computing (Icstcc), International Conference on System Theory Control and Computing, eds. Kloetzer M., Ferariu L., IEEE, 2017, 494–499  isi
    67. Jimenez-Lizarraga M., Ibarra E., “Robust Singular Optimization For Linear Time Varying Systems By Integral High-Order Sliding Mode”, Optim. Control Appl. Methods, 38:5 (2017), 860–879  crossref  mathscinet  zmath  isi
    68. Nguyen Thi Hoai, “Asymptotic Solution of a Singularly Perturbed Linear-Quadratic Problem in Critical Case With Cheap Control”, J. Optim. Theory Appl., 175:2 (2017), 324–340  crossref  mathscinet  zmath  isi
    69. Dubovik S.A., Kabanov A.A., “Quasipotentials in Synthesis of Control Systems Based on Knowledge”, 2017 International Conference on Industrial Engineering, Applications and Manufacturing (ICIEAM), IEEE, 2017  isi
    70. Radisavljevic-Gajic V., Milanovic M., “Three-Stage Feedback Controller Design With Applications to a Three Time-Scale System”, Proceedings of the Asme 9Th Annual Dynamic Systems and Control Conference, 2016, Vol 1, Amer Soc Mechanical Engineers, 2017, UNSP V001T01A008  isi
    71. Gaitsgory V., Rossomakhine S., “On Near Optimal Control of Systems With Slow Observables”, SIAM J. Control Optim., 55:3 (2017), 1398–1428  crossref  mathscinet  zmath  isi
    72. Gaitsgory V., Gerdts M., “On Numerical Solution of Singularly Perturbed Optimal Control Problems”, J. Optim. Theory Appl., 174:3 (2017), 762–784  crossref  mathscinet  zmath  isi
    73. Dubovik S., Kabanov A.A., “Robustness and Cognition in Stabilization Problem of Dynamical Systems Based on Asymptotic Methods”, International Conference on Information Technologies in Business and Industry 2016, Journal of Physics Conference Series, 803, eds. Martyushev N., Avramchuk V., Faerman V., IOP Publishing Ltd, 2017, UNSP 012035  crossref  isi
    74. Kozlov M.V., Shchennikov V.N., “Asymptotic Stability of Homogeneous Singular Systems”, Mordovia Univ. Bull., 27:4 (2017), 546–554  crossref  isi
    75. Glizer V.Y., “Euclidean Space Output Controllability of Singularly Perturbed Systems With Small State Delays”, J. Appl. Math. Comput., 57:1-2 (2018), 1–38  crossref  mathscinet  zmath  isi
    76. Glizer V.Y., Kelis O., “Asymptotic Properties of An Infinite Horizon Partial Cheap Control Problem For Linear Systems With Known Disturbances”, Numer. Algebr. Control Optim., 8:2 (2018), 211–235  crossref  mathscinet  isi  scopus
    77. V. I. Kachalov, “On one method of solving singularly perturbed systems of Tikhonov's type”, Russian Math. (Iz. VUZ), 62:6 (2018), 21–26  mathnet  crossref  isi
    78. Dmitriev M.G., Makarov D.A., “A Design of An Approximate Regulator For a Weakly Nonlinear Terminal Control Problem Using the Penalty Functions Method”, AIP Conference Proceedings, 1997, eds. Ashyralyev A., Lukashov A., Sadybekov M., Amer Inst Physics, 2018, UNSP 020001-1  crossref  isi  scopus
    79. Kurina G.A., Nguyen Thi Hoai, “Projector Approach For Constructing the Zero Order Asymptotic Solution For the Singularly Perturbed Linear-Quadratic Control Problem in a Critical Case”, AIP Conference Proceedings, 1997, eds. Ashyralyev A., Lukashov A., Sadybekov M., Amer Inst Physics, 2018, UNSP 020073-1  crossref  isi  scopus
    80. Yoo H., Gajic Z., “New Designs of Linear Observers and Observer-Based Controllers For Singularly Perturbed Linear Systems”, IEEE Trans. Autom. Control, 63:11 (2018), 3904–3911  crossref  isi  scopus
    81. Kabanov A.A., International Conference Information Technologies in Business and Industry 2018, Pts 1-4, Journal of Physics Conference Series, 1015, IOP Publishing Ltd, 2018  crossref  isi  scopus
    82. Danik Yu.E., Dmitriev M.G., “Construction of Parametric Regulators For Nonlinear Control Systems Based on the Pade Approximations of the Matrix Riccati Equation Solution”, IFAC PAPERSONLINE, 51:32 (2018), 815–820  crossref  isi  scopus
    83. Glizer V.Y., “Euclidean Space Controllability Conditions and Minimum Energy Problem For Time Delay Systems With a High Gain Control”, J. Nonlinear Var. Anal., 2:1, SI (2018), 63–90  crossref  zmath  isi
    84. Glizer V.Y., “Euclidean Space Controllability Conditions For Singularly Perturbed Linear Systems With Multiple State and Control Delays”, Axioms, 8:1 (2019), 36  crossref  isi  scopus
    85. Dragan V., “On the Linear Quadratic Optimal Control For Systems Described By Singularly Perturbed Ito Differential Equations With Two Fast Time Scales”, Axioms, 8:1 (2019), 30  crossref  isi  scopus
    86. Kalashnikova M.A. Kurina G.A., “Direct Scheme For the Asymptotic Solution of Linear-Quadratic Problems With Cheap Controls of Different Costs”, Differ. Equ., 55:1 (2019), 84–104  crossref  isi  scopus
    87. A. R. Danilin, O. O. Kovrizhnykh, “Asimptotika resheniya singulyarno vozmuschennoi zadachi bystrodeistviya s dvumya malymi parametrami”, Tr. IMM UrO RAN, 25, no. 2, 2019, 88–101  mathnet  crossref  elib
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