@article{TIMM_2005_11_1_a10,
author = {A. V. Kim and S. S. Rubleva and Y.-S. Choi},
title = {On the problem of analytical construction of regulators for systems with delays},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {111--121},
year = {2005},
volume = {11},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMM_2005_11_1_a10/}
}
TY - JOUR AU - A. V. Kim AU - S. S. Rubleva AU - Y.-S. Choi TI - On the problem of analytical construction of regulators for systems with delays JO - Trudy Instituta matematiki i mehaniki PY - 2005 SP - 111 EP - 121 VL - 11 IS - 1 UR - http://geodesic.mathdoc.fr/item/TIMM_2005_11_1_a10/ LA - ru ID - TIMM_2005_11_1_a10 ER -
A. V. Kim; S. S. Rubleva; Y.-S. Choi. On the problem of analytical construction of regulators for systems with delays. Trudy Instituta matematiki i mehaniki, Dynamical systems and control problems, Tome 11 (2005) no. 1, pp. 111-121. http://geodesic.mathdoc.fr/item/TIMM_2005_11_1_a10/
[1] Krasovskii N. N., “Ob analiticheskom konstruirovanii optimalnogo regulyatora dlya sistem s zapazdyvaniyami vremeni”, Prikl. matematika i mekhanika, 26 (1962), 39–51 | MR
[2] Krasovskii N. N., “Optimal Processes in Systems with Time Lag”, Proc. 2nd IFAC Congress (Basel, 1963), Butterwoths, London, 1964
[3] Krasovskii N. N., Nekotorye zadachi teorii ustoichivosti dvizheniya, Gostekhizdat, M., 1959 | MR
[4] Krasovskii N. N., “O primenenii vtorogo metoda A. M. Lyapunova dlya uravnenii s zapazdyvaniyami vremeni”, Prikl. matematika i mekhanika, 20:3 (1956), 315–327 | MR
[5] Krasovskii N. N., “Ob asimptoticheskoi ustoichivosti sistem s posledeistviem”, Prikl. matematika i mekhanika, 20 (1956), 513–518 | MR
[6] Krasovskii N. N., Osipov Yu. S., “O stabilizatsii dvizhenii upravlyaemogo ob'ekta s zapazdyvaniem v sisteme regulirovaniya”, Izv. AN SSSR. Tekhn. kibernetika, 1963, no. 6, 3–15 | MR | Zbl
[7] Osipov Yu. S., “Stabilizatsiya upravlyaemykh sistem s zapazdyvaniem”, Differents. uravneniya, 1:5 (1965), 463–473
[8] Osipov Yu. S., “O stabilizatsii nelineinykh upravlyaemykh sistem s zapazdyvaniem v kriticheskom sluchae odnogo nulevogo kornya”, Differents. uravneniya, 1:7 (1965), 908–922 | MR | Zbl
[9] Letov A. M., “Analiticheskoe konstruirovanie regulyatorov, I–IV”, Avtomatika i telemekhanika, 1960, no. 4, 436–441 ; 1960, No 5, 561–568 ; 1960, No 6, 661–665 ; 1961, No 4, 425–435 | Zbl | Zbl | Zbl | MR | Zbl
[10] Letov A. M., Dinamika poleta i upravlenie, M., 1969, 360 pp.
[11] Kalman R. E., “Contribution to the Theory of Optimal Control”, Bull. Soc. Mat. Mech., 5:1 (1960), 102–119 | MR | Zbl
[12] Markushin E. M., Shimanov S. N., “Priblizhennoe reshenie zadachi analiticheskogo konstruirovaniya dlya sistem s zapazdyvaniem”, Avtomatika i telemekhanika, 1963, no. 3, 3–8
[13] Ross D. W., Flugge-Lotz I., “An Optimal Control Problem for Systems with Differential-difference Equation Dynamics”, SIAM J. Control, 7:4 (1969), 609–623 | DOI | MR | Zbl
[14] Ross D. W., “Controller Design for Time Lag Systems via Quadratic Criterion”, IEEE Trans. Automat. Control, 16 (1971), 664–672 | DOI
[15] Eller D. H., Aggarwal J. K., Banks H. T., “Optimal control of linear time-delay systems”, IEEE Trans. Automat. Control, 14 (1969), 678–687 | DOI | MR
[16] Kushner H. J., Barnea D. I., “On the Control of a Linear Functional-differential Equation with Quadratic Cost”, SIAM J. Control, 8:2 (1970), 257–275 | DOI | MR
[17] Soliman M. A., Ray W. H., “Optimal feedback control for linear-quadratic system having time delay”, Int. J. Control, 15:4 (1972), 609–627 | DOI | Zbl
[18] Vinter R. B., Kwong R. H., “The Infinite Quadratic Control Problem for Linear Systems with State and Control Delays: An Evolution Equation Approach”, SIAM J. Contr. Optimiz., 19:1 (1981), 139–153 | DOI | MR | Zbl
[19] Kolmanovskii V. B., Maizenberg T. L., “Optimalnoe upravlenie stokhasticheskimi sistemami s posledeistviem”, Avtomatika i telemekhanika, 1973, no. 1, 47–62 | MR
[20] Kolmanovskii V. B., Myshkis A. D., Applied Theory of Functional Differential Equations, Kluwer Academic Publishers, Dordrecht, 1992 | MR
[21] Yanushevskii R. T., Upravlenie ob'ektami s zapazdyvaniem, Nauka, M., 1978, 416 pp. | MR
[22] Delfour M. C., McCalla C., Mitter S. K., “Stability and the Infinite Time Quadratic Cost Problem for Linear Hereditary Differential Systems”, SIAM J. Control, 13:1 (1975), 48–88 | DOI | MR | Zbl
[23] Gibson J. S., “Linear-quadratic optimal control of hereditary differential systems: infinite dimensional Riccati equations and numerical approximations”, SIAM J. Control and Optimization, 21 (1983), 95–135 | DOI | MR
[24] Lee E. B., “Generalized quadratic optimal controller for linear hereditary systems”, IEEE Trans. Automat. Control, 25 (1980), 528–531 | DOI | MR | Zbl
[25] Uchida K., Shimemura E., Kubo T., Abe N., “The linear-quadratic optimal control approach to feedback control design for systems with delay”, Automatica, 24:6 (1988), 773–780 | DOI | MR | Zbl
[26] Kim A. V., $i$-Gladkii analiz i funktsionalno-differentsialnye uravneniya, UrO RAN, Ekaterinburg, 1996
[27] Kim A. V., Functional Differential Equations. Application of $i$-Smooth Calculus, Kluwer Academic Publishers, Dordrecht, 1999 | MR
[28] Kim A. V., Lozhnikov A. B., “Lineino-kvadratichnye zadachi upravleniya dlya sistem s posledeistviem. Tochnye resheniya”, Avtomatika i telemekhanika, 2000, no. 7, 15–31 | MR
[29] Kim A. V., Han S. H., Kwon W. H., Pimenov V. G., Explicit numerical methods and LQR control algorithms for time-delay systems, Proceedings of the International Conference on Electrical Engineering. Kyungju, Korea, July 21–25, 1998
[30] Krasovskii A. A., “Integralnye otsenki momentov i sintez lineinykh sistem”, Avtomatika i telemekhanika, 1967, no. 10, 53–71 | MR
[31] Krasovskii A. A., Sistemy avtomaticheskogo upravleniya poletom i ikh analiticheskoe konstruirovanie, M., 1973, 558 pp.
[32] Kim A. V., Lozhnikov A. B., “Kriterii ustoichivosti lineinykh funktsionalno-differentsialnykh uravnenii i ego prakticheskaya realizatsiya”, Differents. uravneniya, 2004, no. 1, 271–273 | MR | Zbl
[33] Kim A. V., Lozhnikov A. B., “Practical criterion for stability verification of linear systems with delays”, Stability Analysis and Control: Theory and Applications, 3:2 (2000), 111–116 | MR
[34] Kim A. V., Pimenov V. G., $i$-Gladkii analiz i chislennye metody resheniya funktsionalno-differentsialnykh uravnenii, NITs “Regulyarnaya i khaoticheskaya dinamika”, M.–Izhevsk, 2004, 256 pp.