Protector control: Extension to a class of nonlinear distributed systems

Youssef Qaraai; Abdes Samed Bernoussi

International Journal of Applied Mathematics and Computer Science (2010)

  • Volume: 20, Issue: 3, page 427-443
  • ISSN: 1641-876X

Abstract

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We present an extension of the protector control scheme introduced for the linear case in a previous work to a class of nonlinear systems. The systems considered are assumed to have a finite propagation velocity while the initial state is subject to a spreading disturbance. We characterize such a control first by using the remediability approach to the resulting nonlinear delay system, and then by coupling families of transformations and the delay approach. To illustrate this work, we provide a simulation example.

How to cite

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Youssef Qaraai, and Abdes Samed Bernoussi. "Protector control: Extension to a class of nonlinear distributed systems." International Journal of Applied Mathematics and Computer Science 20.3 (2010): 427-443. <http://eudml.org/doc/207998>.

@article{YoussefQaraai2010,
abstract = {We present an extension of the protector control scheme introduced for the linear case in a previous work to a class of nonlinear systems. The systems considered are assumed to have a finite propagation velocity while the initial state is subject to a spreading disturbance. We characterize such a control first by using the remediability approach to the resulting nonlinear delay system, and then by coupling families of transformations and the delay approach. To illustrate this work, we provide a simulation example.},
author = {Youssef Qaraai, Abdes Samed Bernoussi},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {nonlinear distributed systems; disturbance; spreadability; vulnerability; remediability; protector control},
language = {eng},
number = {3},
pages = {427-443},
title = {Protector control: Extension to a class of nonlinear distributed systems},
url = {http://eudml.org/doc/207998},
volume = {20},
year = {2010},
}

TY - JOUR
AU - Youssef Qaraai
AU - Abdes Samed Bernoussi
TI - Protector control: Extension to a class of nonlinear distributed systems
JO - International Journal of Applied Mathematics and Computer Science
PY - 2010
VL - 20
IS - 3
SP - 427
EP - 443
AB - We present an extension of the protector control scheme introduced for the linear case in a previous work to a class of nonlinear systems. The systems considered are assumed to have a finite propagation velocity while the initial state is subject to a spreading disturbance. We characterize such a control first by using the remediability approach to the resulting nonlinear delay system, and then by coupling families of transformations and the delay approach. To illustrate this work, we provide a simulation example.
LA - eng
KW - nonlinear distributed systems; disturbance; spreadability; vulnerability; remediability; protector control
UR - http://eudml.org/doc/207998
ER -

References

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