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

Abstract

top
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.

How to cite

top

Balachandran, 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
  1. Balachandran K., Dauer J., 10.1007/BF00938943, J. Optim. Theory Appl. 53 (1987), 345–352 (1987) Zbl0596.93010MR0891093DOI10.1007/BF00938943
  2. Dauer J., Balachandran K., Sample controllability of general nonlinear stochastic systems, Libertas Math. 17 (1997), 143–153 (1997) Zbl0892.93010MR1485673
  3. Dobov M. A., Mordukhovich B. S., Theory of controllability of linear stochastic systems, Differential Equations 14 (1978), 1609–1612 (1978) 
  4. Enrhardt M., Kliemann W., Controllability of stochastic linear systems, Systems Control Lett. 2 (1982), 45–153 (1982) 
  5. Klamka J., Schauder’s fixed point theorem in nonlinear controllability problems, Control Cybernet. 29 (2000), 153–165 Zbl1011.93001MR1775163
  6. Klamka J., Socha L., 10.1109/TAC.1977.1101615, IEEE Trans. Automat. Control 22 (1977), 880–881 (1977) Zbl0363.93048MR0456887DOI10.1109/TAC.1977.1101615
  7. Lipster R. S., Shiryaev A. N., Statistics of Random Processes, Springer, New York 1977 
  8. Mahmudov N. I., Denker A., 10.1080/002071700219849, Internat. J. Control 73 (2000), 144–151 Zbl1031.93033MR1738365DOI10.1080/002071700219849
  9. Mahmudov N. I., 10.1109/9.920790, IEEE Trans. Automat. Control 46 (2001), 724–731 Zbl1031.93034MR1833025DOI10.1109/9.920790
  10. 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
  11. Mahmudov N. I., 10.1137/S0363012901391688, SIAM J. Control Optim. 42 (2004), 1604–1622 Zbl1084.93006MR2046377DOI10.1137/S0363012901391688
  12. Mahmudov N. I., Zorlu S., 10.1080/0020717031000065648, Internat. J. Control 76 (2003), 95–104 Zbl1111.93301MR1965846DOI10.1080/0020717031000065648
  13. Mahmudov N. I., Zorlu S., 10.1080/00207170500207180, Internat. J. Control 78 (2005), 997–1004 Zbl1097.93034MR2164204DOI10.1080/00207170500207180
  14. 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
  15. Zabczyk J., 10.1016/S0167-6911(81)80008-4, Systems Control Lett. 1 (1987), 25–31 (1987) MR0667324DOI10.1016/S0167-6911(81)80008-4

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.