Stabilisation and synchronisation of chaotic systems via hybrid control

A new hybrid control, impulsive and feedback, strategy is proposed to stabilise and synchronise a class of chaotic systems. Some simple sufficient conditions, which are less conservative than the existing results, are derived to ensure the stabilisation and synchronisation of the chaotic systems. In addition, the proposed method has many advantages that includes taking less time and energy and having a more flexible design, over that of the simplex control method to achieve the stabilisation and synchronisation. Finally, as a typical example, Chua´s chaotic system is given to illustrate and visualise the effectiveness of our results