Simplified Sliding Mode of a Novel Class of Four-dimensional Fractional-order Chaos

Abstract

We study the simplified control for a novel class of four-dimensional (4-D)

Fractional Order Memristor No Equilibrium Chaotic System with Its Adaptive Sliding Mode Synchronization and Genetically Optimized Fractional Order PID Synchronization

“…Because of high sensitivity to initial conditions two identical chaotic systems may have exponentially diverging state trajectories. Many methods have been proposed in the literature such as active control method [17,18], adaptive control method [19,20], extended back stepping control [21,22], sliding mode control [23,24], and adaptive sliding mode [25][26][27].…”

“…Fraction chaotic systems have been investigated by many researchers [28][29][30][31][32][33][34][35]. Fractional order controllers [24][25][26][27][36][37][38] are more effective compared to its integer order models especially in chaos control and synchronization. Fractional order systems with no equilibrium are announced and investigated by Li and Chen [39].…”