Controllability of nonlinear systems with delays in both state and control variables

Krishnan Balachandran

Kybernetika (1986)

  • Volume: 22, Issue: 4, page 340-348
  • ISSN: 0023-5954

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Balachandran, Krishnan. "Controllability of nonlinear systems with delays in both state and control variables." Kybernetika 22.4 (1986): 340-348. <http://eudml.org/doc/27528>.

@article{Balachandran1986,
author = {Balachandran, Krishnan},
journal = {Kybernetika},
keywords = {Relative controllability; nonlinear systems with distributed delays; Schauder fixed point theorem},
language = {eng},
number = {4},
pages = {340-348},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Controllability of nonlinear systems with delays in both state and control variables},
url = {http://eudml.org/doc/27528},
volume = {22},
year = {1986},
}

TY - JOUR
AU - Balachandran, Krishnan
TI - Controllability of nonlinear systems with delays in both state and control variables
JO - Kybernetika
PY - 1986
PB - Institute of Information Theory and Automation AS CR
VL - 22
IS - 4
SP - 340
EP - 348
LA - eng
KW - Relative controllability; nonlinear systems with distributed delays; Schauder fixed point theorem
UR - http://eudml.org/doc/27528
ER -

References

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  1. H. T. Banks, Representations for solutions of linear functional differential equations, J. Differential Equations 5 (1969), 2, 399-409. (1969) Zbl0165.42701MR0235237
  2. D. H. Chyung, Controllability of linear time-varying systems with delays, IEEE Trans. Automat. Control AC-16 (1971), 5, 493-495. (1971) MR0285288
  3. S. V. Curakova, The relative controllability of linear systems with variable and distributed retardation, Differencial'nye Uravnenija 5 (1969), 6, 1068- 1075. (1969) MR0245945
  4. D. H. Chyung, E. B. Lee, Delayed action control problems, Automatica 6 (1970), 3, 395-400. (1970) Zbl0203.47001MR0295177
  5. J. P. Dauer, Nonlinear perturbations of quasi-linear control systems, J. Math. Anal. Appl. 54 (1976), 3, 717-725. (1976) Zbl0339.93004MR0415473
  6. J. P. Dauer, R. D. Gahl, Controllability of nonlinear delay systems, J. Optim. Theory Appl. 21 (1977), 1, 59-70. (1977) Zbl0325.93007MR0433306
  7. J. Klamka, On the controllability of linear systems with delays in the control, Internat. J. Control 25 (1977), 6, 875-883. (1977) Zbl0361.93012MR0527645
  8. J. Klamka, Relative controllability of nonlinear systems with distributed delays in control, Internat. J. Control 28 (1978), 2, 307-312. (1978) MR0506301
  9. A. Manitius, On the controllability conditions for systems with distributed delays in state and control, Arch. Automat. Telemech. 17 (1972), 4, 363-377. (1972) Zbl0246.93006MR0449814
  10. A. Manitius, A. W. Olbrot, Controllability conditions for systems with delayed state and control, Arch. Automat. Telemech. 17 (1972), 2, 119-131. (1972) MR0424301
  11. D. Somasundaram, K. Balachandran, Controllability of nonlinear systems consisting of a bilinear mode with distributed delays in control, IEEE Trans. Automat. Control AC-29 (1984), 6, 573-575. (1984) Zbl0542.93008MR0745197
  12. K. Balachandran, Controllability of nonlinear perturbations of linear systems with distributed delays in control, Robotica 3 (1985), 2, 89-91. (1985) 

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