Synchronization And Control Of Chaotic Neural Network With Applications

Chaos is now a front research topic, it has promulgated the universal existence complexity in the nature and the human society, has reflected the dialectical unification relations in the world between disorderly and the order, definite and the random. Along with the theory of relativity and the quantum mechanics, chaos phenomenon is reputed as the third biggest physics discoveries in 20th century. Since 1980s, chaos theory and its application have become an important branch in the non-linear science field. The chaos synchronization and the control are the hot topics of this research area.The development of this research directs brand-new understanding of the non-linear phenomenon in dynamical systems. The complexity, ergodicity, aperiodic, uncorrelated, noise-like make the research on the chaotic control and synchronization theory to be morechallenging.This article revolves the chaos synchronization and control technology as well as the application in the modern information security security aspect, main works and results include:1. First we studied the chaos control method of Lorenz chaotic system. Chaos control is an important research topic. In the situation to eliminate chaos in the dynamic system, one can resort to the chaos control method. At present the quite popular chaos control method much comes from the cybernetics, people have proposed many effectively chaos control strategy. From the application view of point, the control scheme designed must make simplification and use the states variable of system as little as possible to realize the the chaos control, In this article, utilizing the feedback control method, we have proposed one kind linear controller design strategy based on the dislocation of the system states variable and proved the stability of the strategy with Lyapunov method. Then confirm the validity of the controller through simulation algorithm.Here we realized the stable control of chaos system through the mutual effect of state variable which is extremely simple and easy to realize.2. Since the OGY method has realized the chaos control for the first time at the beginning of the 90's, the research of chaos synchronization becomes a hot topic field gradually. The non-linear synchronized method play an important role in the chaos secrete communication aspect. Because of the non-linear characteristic, it makes the attack and code breaks more difficultly. Theoretically speaking, the non-linear synchronization method may enhance the security of chaos communicaton performance.Therefore to development new non-linear synchronization method will make significance. Here we have studied the chaos synchronization of a new chaotic system. Based on nonlinear control method, three sufficient conditions of the controller for synchronization of the chaotic systems are derived. By means of Lyapunov stabilization theorem, it is proved that globally synchronization of the master and slave chaos system can be realized with the controller designed. Simulation results validate the proposed synchronization methods and show its robusticity. In the following, synchronization of hyperchaotic Lorenz system is studied. Based on nonlinear control method, several sufficient conditions of the controller for synchronization of the hyperchaotic Lorenz system are derived. By means of Lyapunov stabilization theorem, it is proved that globally synchronization of the master and slave chaos system can be realized with the controllers designed. Simulation results validate the proposed synchronization methods and show its robusticity.3. The chaos is refers to one kind which appears in the definite system to apparent the non-rule the similar stochastic phenomenon. As a result of this nature, enables it possible to apply in science domain. Recently people have discovered that the chaos theory may use to understand certain irregular activities in the human brain, therefore chaos neural networks become an intensive research field. The complex dynamics characteristic of chaos neural network causes it prospective in information processing and optimized computation and other wide spread application. People have proposed many different control method to realize the chaos synchronization. This article has conducted the thorough research to the chaotic neural network, introduced the chaos neural network synchronization method. Based on the linear matrix inequality technology and Lyapunov stability theory, we have Studied the synchronized controller design method of the global synchronization, the non-linear global synchronization and the global exponential synchronization. Here we have proposed one kind of synchronization algorithm, through which might obtain the gain matrix quickly and automatize. Simulation has confirmed the validity of the algorithm.4. Utilizing chaos is an important aspect during chaos development, in which the application is a hot topic. The early synchronized chaos communications system only focus on the lower chaotic system. Because the lowers chaoic dynamics are easy to restructure and attack, the chaos communication is under the criticism in ability of anti-breaks. Simultaneously the efficiency of chaos communication is not satisfied and need to improve. In order to improve the reliability and the stability of secure communication, we proposed to use the hyperchaotic system and the chaos neural network. With the chaos-mask communication, we gave a new strategy of secure communication based on the chaos synchronization. Simulation results show the validity of the algorithm.