On relay feedback and chaotic systems

The feedback connection of a linear system with a memoryless nonlinearity i s recognized as a candidate for chaos-generating structure. This paper prop oses a chaotic nonlinear feedback system with a relay connected to a biprop er linear system. The proposed chaotic system is analysed using chaos crite ria proposed by Genesio and Tesi. This paper also shows an equivalence rela tion between the proposed system and the Brockett chaotic system through th e linear input-output transformation. Copyright (C) 2001 John Wiley & Sons, Ltd.