Variable structure controller for modified projective synchronization of Chen-Lee chaotic systems with nonlinear inputs

This study demonstrates the modified projective synchronization in Chen-Lee chaotic system. The variable structure control technology is used to design the synchronization controller with nonlinear inputs. Based on Lyapunov stability theory, a nonlinear controller and some generic sufficient conditions can be obtained to guarantee the modified projective synchronization, including synchronization, anti-synchronization, and projective synchronization in spit of the input nonlinearity. The Numerical simulation results show that the synchronization and anti-synchronization can coexist in Chen-Lee chaotic systems. It demonstrates the validity and feasibility of the proposed controller