Contribution à la Synchronisation des Systèmes du Type PWL via une Approche LMI

Hanene Mkaouar Mzali · HAL (Le Centre pour la Communication Scientifique Directe) · 2017

In this thesis, the master-slave synchronization problem of continuous Piecewise Linear (PWL) systems is solved using the Lyapunov theory and the LMI tools. New synchronization conditions are established for the following three classes of PWL systems: the controlled systems, the chaotic systems and finally the uncertain chaotic systems with bounded uncertainties. The new synchronization conditions are formulated in the form of LMIs using the principle of the Lyapunov stability and using the S-procedure principle.

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