Chaos Controllability in Non-Identical Complex Fractional Order Chaotic Systems via Active Complex Synchronization Technique

Abstract

In this paper, we primarily investigate the methodology for the hybrid complex projective synchronization (HCPS) scheme in non-identical complex fractional order chaotic systems via an active complex synchronization technique (ACST). Appropriate controllers of a nonlinear type are designed in view of master–slave composition and Lyapunov’s stability criterion (LSC). The HCPS is an extended version of the previously designed projective synchronization scheme. In the HCPS scheme, by using a complex scale matrix, the system taken as slave system is asymptotically synchronized with another system taken as the master system. By utilizing a complex scale matrix, the unpredictability and security of communication are increased along with image encryption. An efficient computational method has been employed to validate and visualize the HCPS method’s efficacy by performing numerical simulation outcomes in MATLAB.

Quantized Control for Local Synchronization of Fractional-Order Neural Networks with Actuator Saturation

“…Combined with (Q), this yields Inequality (5) and the RSC (8), which allows one to derive feasible stability criteria.…”

“…Recently, there has been growing interest in using fractional calculus to model and analyze various systems, including neural networks. The benefit of fractional calculus lies in its ability to describe the fundamental characteristics and retention of the system model more precisely than conventional integer-order calculus [4][5][6][7][8][9]. One of the main advantages of using fractional-order derivatives is that they possess infinite memory, which is particularly important in neural network models.…”