Controllability of a class of nonlinear systems with distributed delays in control

Krishnan Balachandran; D. Somasundaram

Kybernetika (1983)

  • Volume: 19, Issue: 6, page 475-482
  • ISSN: 0023-5954

How to cite

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Balachandran, Krishnan, and Somasundaram, D.. "Controllability of a class of nonlinear systems with distributed delays in control." Kybernetika 19.6 (1983): 475-482. <http://eudml.org/doc/27861>.

@article{Balachandran1983,
author = {Balachandran, Krishnan, Somasundaram, D.},
journal = {Kybernetika},
keywords = {perturbed linear systems; distributed delays; global relative controllability; measure of noncompactness; Darbo fixed point theorem},
language = {eng},
number = {6},
pages = {475-482},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Controllability of a class of nonlinear systems with distributed delays in control},
url = {http://eudml.org/doc/27861},
volume = {19},
year = {1983},
}

TY - JOUR
AU - Balachandran, Krishnan
AU - Somasundaram, D.
TI - Controllability of a class of nonlinear systems with distributed delays in control
JO - Kybernetika
PY - 1983
PB - Institute of Information Theory and Automation AS CR
VL - 19
IS - 6
SP - 475
EP - 482
LA - eng
KW - perturbed linear systems; distributed delays; global relative controllability; measure of noncompactness; Darbo fixed point theorem
UR - http://eudml.org/doc/27861
ER -

References

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  1. Z. Artstein, Linear systems with delayed controls - A reduction, IEEE Trans. Automat. Control AC-27 (1982), 4, 869-879. (1982) Zbl0486.93011MR0680488
  2. Z. Artstein, G. Tadmor, Linear systems with indirect controls - The underlying measures, SIAM J. Control Optim. 20 (1982), 1, 96-111. (1982) Zbl0478.49028MR0642180
  3. H. T. Banks, M. Q. Jacobs, The optimization of trajectories of linear functional differential equations, SIAM J. Control 8 (1970), 4, 461-488. (1970) Zbl0246.49006MR0273486
  4. C. Dacka, On the controllability of a class of nonlinear systems, IEEE Trans. Automat. Control AC-25 (1980), 2, 263-266. (1980) Zbl0439.93006MR0567386
  5. C. Dacka, Relative controllability of perturbed nonlinear systems with delay in control, IEEE Trans. Automat. Control AC-27 (1982), 1, 268-270. (1982) Zbl0469.93021MR0673102
  6. J. Klamka, Relative controllability of nonlinear systems with distributed delays in control, Internat. J. Control 28 (1978), 2, 307-312. (1978) MR0506301
  7. J. Klamka, Controllability of nonlinear systems with distributed delay in control, Internat. J. Control 31 (1980), 5, 811-819. (1980) MR0573486
  8. A. Manitius, Mathematical Models of Hereditary Systems, Research Report CRM-462, Centre de Recherches Mathematiques, Université de Montreal, Montreal 1974. (1974) 
  9. B. J. Sadovskii, Limit compact and condensing operators, (in Russian). Uspehi Mat. Nauk 27 (1972), 1, 81 - 146, (English translation) Russian Mathematical Surveys 27 (1972), 1, 85-156. (1972) MR0428132

Citations in EuDML Documents

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  1. Krishnan Balachandran, D. Somasundaram, Relative controllability of nonlinear systems with time varying delays in control
  2. Krishnan Balachandran, D. Somasundaram, Controllability of nonlinear delay systems with delay depending on state variable
  3. Krishnan Balachandran, Controllability of a class of perturbed nonlinear systems
  4. Vijayakumar S. Muni, Raju K. George, Controllability of linear impulsive matrix Lyapunov differential systems with delays in the control function

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