Global chaos synchronisation of identical Li-Wu chaotic systems via sliding mode control

In this research work, the problem of sliding controller design for the global chaos synchronisation of identical nonlinear chaotic systems is investigated and new results are derived using Lyapunov stability theory. The general result gives a procedure for constructing a sliding mode controller for achieving global chaos synchronisation for identical chaotic systems under certain assumptions. Next, the problem of sliding controller design for the global chaos synchronisation of identical Li-Wu chaotic systems (Li et al., 2013) is investigated and a new result is derived. The sliding controller design for identical Li-Wu chaotic systems is illustrated with MATLAB simulations.