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Adaptive finite-time synchronization of cross-strict feedback hyperchaotic systems with parameter uncertainties

Hai-Yan Li, Yun-An Hu, Rui-Qi Wang (2013)

Kybernetika

This paper is concerned with the finite-time synchronization problem for a class of cross-strict feedback underactuated hyperchaotic systems. Using finite-time control and backstepping control approaches, a new robust adaptive synchronization scheme is proposed to make the synchronization errors of the systems with parameter uncertainties zero in a finite time. Appropriate adaptive laws are derived to deal with the unknown parameters of the systems. The proposed method can be applied to a variety...

Controllability of impulsive semilinear functional differential inclusions with finite delay in Fréchet spaces

Abada Nadjat, Benchohra Mouffak, Hammouche Hadda, Ouahab Abdelghani (2007)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

In this paper, we use the extrapolation method combined with a recent nonlinear alternative of Leray-Schauder type for multivalued admissible contractions in Fréchet spaces to study the existence of a mild solution for a class of first order semilinear impulsive functional differential inclusions with finite delay, and with operator of nondense domain in original space.

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