Optimal control of nonlinear delay systems with implicit derivative and quadratic performance

Krishnan Balachandran; N. Rajagopal

Kybernetika (1999)

  • Volume: 35, Issue: 2, page [225]-233
  • ISSN: 0023-5954

Abstract

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The existence of optimal control for nonlinear delay systems having an implicit derivative with quadratic performance criteria is proved. The results are established by an iterative technique and using the Darbo fixed point theorem.

How to cite

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Balachandran, Krishnan, and Rajagopal, N.. "Optimal control of nonlinear delay systems with implicit derivative and quadratic performance." Kybernetika 35.2 (1999): [225]-233. <http://eudml.org/doc/33424>.

@article{Balachandran1999,
abstract = {The existence of optimal control for nonlinear delay systems having an implicit derivative with quadratic performance criteria is proved. The results are established by an iterative technique and using the Darbo fixed point theorem.},
author = {Balachandran, Krishnan, Rajagopal, N.},
journal = {Kybernetika},
keywords = {optimal control; nonlinear delay system; Darboux’s fixed-point theorem; optimal control; nonlinear delay system; Darboux's fixed-point theorem.},
language = {eng},
number = {2},
pages = {[225]-233},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Optimal control of nonlinear delay systems with implicit derivative and quadratic performance},
url = {http://eudml.org/doc/33424},
volume = {35},
year = {1999},
}

TY - JOUR
AU - Balachandran, Krishnan
AU - Rajagopal, N.
TI - Optimal control of nonlinear delay systems with implicit derivative and quadratic performance
JO - Kybernetika
PY - 1999
PB - Institute of Information Theory and Automation AS CR
VL - 35
IS - 2
SP - [225]
EP - 233
AB - The existence of optimal control for nonlinear delay systems having an implicit derivative with quadratic performance criteria is proved. The results are established by an iterative technique and using the Darbo fixed point theorem.
LA - eng
KW - optimal control; nonlinear delay system; Darboux’s fixed-point theorem; optimal control; nonlinear delay system; Darboux's fixed-point theorem.
UR - http://eudml.org/doc/33424
ER -

References

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  3. Balachandran K., 10.1080/00207178908559666, Internat. J. Control 49 (1989), 3, 769–775 (1989) Zbl0681.49001MR0990313DOI10.1080/00207178908559666
  4. Balachandran K., Dauer J. P., 10.1007/BF00938943, J. Optim. Theory Appl. 53 (1987), 1, 345–352 (1987) Zbl0596.93010MR0891093DOI10.1007/BF00938943
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  6. Balachandran K., Somasundaram D., 10.1017/S0334270000005750, J. Austral. Math. Soc. Ser. B 29 (1987), 249–255 (1987) Zbl0623.49002MR0905808DOI10.1017/S0334270000005750
  7. Dacka C., 10.1109/TAC.1980.1102287, IEEE Trans. Automat. Control 25 (1980), 3, 263–266 (1980) Zbl0439.93006MR0567386DOI10.1109/TAC.1980.1102287
  8. Dauer J. P., Balachandran K., 10.1002/oca.4660140206, Optimal Control Appl. Methods 24 (1993), 1, 145–152 (1993) MR1228381DOI10.1002/oca.4660140206
  9. Malek–Zavarei M., 10.1007/BF01686725, J. Optim. Theory Appl. 30 (1980), 4, 621–633 (1980) MR0572160DOI10.1007/BF01686725
  10. Sadovskii B. J., 10.1070/RM1972v027n01ABEH001364, Russian Math. Surveys 27 (1972), 1, 85–155 (1972) MR0428132DOI10.1070/RM1972v027n01ABEH001364
  11. Yamamoto Y., 10.1016/0022-247X(78)90042-2, J. Math. Anal. Appl. 64 (1978), 2, 348–353 (1978) Zbl0378.49024MR0479536DOI10.1016/0022-247X(78)90042-2

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