Globally exponential multi switching-combination synchronization control of chaotic systems for secure communications |
| |
Authors: | Israr Ahmad Muhammad Shafiq M Mossa Al-Sawalha |
| |
Institution: | 1. Department of General Requirements, College of Applied Sciences, Nizwa, Oman;3. Department of Mathematics, Faculty of Science, University of Hail, Saudi Arabia |
| |
Abstract: | This article introduces the global exponential multi switching combination synchronization (GEMSCS) for three different chaotic systems with known parameters in the master-slave system configuration. The proposed GEMSCS scheme establishes the global exponential stability of the synchronization error at the origin with different combinations of state variables of the two master chaotic systems with the state variables of a slave chaotic system in diverse manners. Consequently, it increases the complexity level of the information signal in secure communications. To study the GEMSCS, an efficient nonlinear control algorithm is designed. The Lyapunov direct theorem is used to accomplish the global exponential stability of the synchronization error at the origin. The stability conditions are derived analytically. To show the effectiveness and advantages of the proposed GEMSCS control approach, two numerical examples are presented. The computer based simulation results are compared with the reported works in the relevant literature. This article also extends the idea of GEMSCS to the secure communication using the chaotic masking technique. Using the GEMSCS strategy, the information signal is recovered at the receiving system with good accuracy and high speed while the parameters of the transmitter and receiver systems mismatch. At the end, some future research problems related to this work are suggested. |
| |
Keywords: | Multi switching combination synchronization Global exponential stability Lyapunov stability theory Chaotic systems Secure communication |
本文献已被 ScienceDirect 等数据库收录! |
|