On relay feedback and chaotic systems

The feedback connection of a linear system with a memoryless nonlinearity is recognized as a candidate for chaos-generating structure. This paper proposes a chaotic nonlinear feedback system with a relay connected to a biproper linear system. The proposed chaotic system is analysed using chaos criteria proposed by Genesio and Tesi. This paper also shows an equivalence relation between the proposed system and the Brockett chaotic system through the linear input–output transformation. Copyright © 2001 John Wiley & Sons, Ltd.

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