Controllability of semilinear stochastic integrodifferential systems
Krishnan Balachandran; S. Karthikeyan; Jeong-Hoon Kim
Kybernetika (2007)
- Volume: 43, Issue: 1, page 31-44
- ISSN: 0023-5954
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topBalachandran, Krishnan, Karthikeyan, S., and Kim, Jeong-Hoon. "Controllability of semilinear stochastic integrodifferential systems." Kybernetika 43.1 (2007): 31-44. <http://eudml.org/doc/33838>.
@article{Balachandran2007,
abstract = {In this paper we study the approximate and complete controllability of stochastic integrodifferential system in finite dimensional spaces. Sufficient conditions are established for each of these types of controllability. The results are obtained by using the Picard iteration technique.},
author = {Balachandran, Krishnan, Karthikeyan, S., Kim, Jeong-Hoon},
journal = {Kybernetika},
keywords = {controllability; approximate controllability; stochastic integrodifferential system; Picard iteration; controllability; approximate controllability; stochastic integrodifferential system; Picard iteration},
language = {eng},
number = {1},
pages = {31-44},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Controllability of semilinear stochastic integrodifferential systems},
url = {http://eudml.org/doc/33838},
volume = {43},
year = {2007},
}
TY - JOUR
AU - Balachandran, Krishnan
AU - Karthikeyan, S.
AU - Kim, Jeong-Hoon
TI - Controllability of semilinear stochastic integrodifferential systems
JO - Kybernetika
PY - 2007
PB - Institute of Information Theory and Automation AS CR
VL - 43
IS - 1
SP - 31
EP - 44
AB - In this paper we study the approximate and complete controllability of stochastic integrodifferential system in finite dimensional spaces. Sufficient conditions are established for each of these types of controllability. The results are obtained by using the Picard iteration technique.
LA - eng
KW - controllability; approximate controllability; stochastic integrodifferential system; Picard iteration; controllability; approximate controllability; stochastic integrodifferential system; Picard iteration
UR - http://eudml.org/doc/33838
ER -
References
top- Balachandran K., Dauer J., 10.1007/BF00938943, J. Optim. Theory Appl. 53 (1987), 345–352 (1987) Zbl0596.93010MR0891093DOI10.1007/BF00938943
- Dauer J., Balachandran K., Sample controllability of general nonlinear stochastic systems, Libertas Math. 17 (1997), 143–153 (1997) Zbl0892.93010MR1485673
- Dobov M. A., Mordukhovich B. S., Theory of controllability of linear stochastic systems, Differential Equations 14 (1978), 1609–1612 (1978)
- Enrhardt M., Kliemann W., Controllability of stochastic linear systems, Systems Control Lett. 2 (1982), 45–153 (1982)
- Klamka J., Schauder’s fixed point theorem in nonlinear controllability problems, Control Cybernet. 29 (2000), 153–165 Zbl1011.93001MR1775163
- Klamka J., Socha L., 10.1109/TAC.1977.1101615, IEEE Trans. Automat. Control 22 (1977), 880–881 (1977) Zbl0363.93048MR0456887DOI10.1109/TAC.1977.1101615
- Lipster R. S., Shiryaev A. N., Statistics of Random Processes, Springer, New York 1977
- Mahmudov N. I., Denker A., 10.1080/002071700219849, Internat. J. Control 73 (2000), 144–151 Zbl1031.93033MR1738365DOI10.1080/002071700219849
- Mahmudov N. I., 10.1109/9.920790, IEEE Trans. Automat. Control 46 (2001), 724–731 Zbl1031.93034MR1833025DOI10.1109/9.920790
- Mahmudov N. I., 10.1093/imamci/19.4.363, IMA J. Math. Control Inform. 19 (2002), 363–376 Zbl1138.93313MR1948289DOI10.1093/imamci/19.4.363
- Mahmudov N. I., 10.1137/S0363012901391688, SIAM J. Control Optim. 42 (2004), 1604–1622 Zbl1084.93006MR2046377DOI10.1137/S0363012901391688
- Mahmudov N. I., Zorlu S., 10.1080/0020717031000065648, Internat. J. Control 76 (2003), 95–104 Zbl1111.93301MR1965846DOI10.1080/0020717031000065648
- Mahmudov N. I., Zorlu S., 10.1080/00207170500207180, Internat. J. Control 78 (2005), 997–1004 Zbl1097.93034MR2164204DOI10.1080/00207170500207180
- Sunahara Y., Kabeuchi T., Asada, S., Kishino K., 10.1109/TAC.1974.1100464, IEEE Trans. Automat. Control 19 (1974), 49–54 (1974) MR0359965DOI10.1109/TAC.1974.1100464
- Zabczyk J., 10.1016/S0167-6911(81)80008-4, Systems Control Lett. 1 (1987), 25–31 (1987) MR0667324DOI10.1016/S0167-6911(81)80008-4
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