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Protector control: Extension to a class of nonlinear distributed systems

Youssef QaraaiAbdes Samed Bernoussi — 2010

International Journal of Applied Mathematics and Computer Science

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...

How to compensate a spreading disturbance for a class of nonlinear systems

Youssef QaraaiAbdes Samed BernoussiAbdelhaq El Jai — 2008

International Journal of Applied Mathematics and Computer Science

We consider a system which is assumed to be affected by an expanding disturbance which occurs at the initial time. The compensation of the disturbance is accomplished by extending the concept of remediability to a class of nonlinear systems. The results are implemented and illustrated with a nonlinear distributed model.

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