Neutral functional integrodifferential control systems in Banach spaces

Krishnan Balachandran; E. Radhakrishnan Anandhi

Kybernetika (2003)

  • Volume: 39, Issue: 3, page [359]-367
  • ISSN: 0023-5954

Abstract

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Sufficient conditions for controllability of neutral functional integrodifferential systems in Banach spaces with initial condition in the phase space are established. The results are obtained by using the Schauder fixed point theorem. An example is provided to illustrate the theory.

How to cite

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Balachandran, Krishnan, and Anandhi, E. Radhakrishnan. "Neutral functional integrodifferential control systems in Banach spaces." Kybernetika 39.3 (2003): [359]-367. <http://eudml.org/doc/33650>.

@article{Balachandran2003,
abstract = {Sufficient conditions for controllability of neutral functional integrodifferential systems in Banach spaces with initial condition in the phase space are established. The results are obtained by using the Schauder fixed point theorem. An example is provided to illustrate the theory.},
author = {Balachandran, Krishnan, Anandhi, E. Radhakrishnan},
journal = {Kybernetika},
keywords = {controllability; phase space; neutral functional integrodifferential system; Schauder fixed point theorem; controllability; phase space; neutral functional integro-differential system; Schauder's fixed-point theorem},
language = {eng},
number = {3},
pages = {[359]-367},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Neutral functional integrodifferential control systems in Banach spaces},
url = {http://eudml.org/doc/33650},
volume = {39},
year = {2003},
}

TY - JOUR
AU - Balachandran, Krishnan
AU - Anandhi, E. Radhakrishnan
TI - Neutral functional integrodifferential control systems in Banach spaces
JO - Kybernetika
PY - 2003
PB - Institute of Information Theory and Automation AS CR
VL - 39
IS - 3
SP - [359]
EP - 367
AB - Sufficient conditions for controllability of neutral functional integrodifferential systems in Banach spaces with initial condition in the phase space are established. The results are obtained by using the Schauder fixed point theorem. An example is provided to illustrate the theory.
LA - eng
KW - controllability; phase space; neutral functional integrodifferential system; Schauder fixed point theorem; controllability; phase space; neutral functional integro-differential system; Schauder's fixed-point theorem
UR - http://eudml.org/doc/33650
ER -

References

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  9. Hino Y., Murakami, S., Naito T., Functional Differential Equations with Infinite Delay, (Lecture Notes in Mathematics 1473.) Springer–Verlag, Berlin 1991 Zbl0732.34051MR1122588
  10. Park J. Y., Han H. K., Controllability of nonlinear functional integrodifferential systems in Banach spaces, Nihonkai Math. J. 8 (1997), 47–53 (1997) MR1454807
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