This paper presents an exponential synchronization scheme between two chaotic systems with different structures and parameters. A unified model consisting of a linear dynamic system and a bounded static nonlinear operator is employed to describe these totally different chaotic systems. A novel state feedback control law is established to exponentially synchronize the two unified models with different parameters. Most chaotic systems with different structures and parameters, such as Hopfield neural networks, cellular neural networks, Chua’s circuits, unified chaotic systems, Qi systems, and chaotic recurrent multilayer perceptrons, can be transformed into this unified model with the synchronization controller designed in a unified way. Two numerical examples are exploited to illustrate the effectiveness of the proposed design schemes. 相似文献
Reaction pathways in the synthesis of three photorefractive silicates—γ-Bi12 SiO20 (BSO), γ-Bi12 GeO20 (BGO), and gamma-Bi12 TiO20 (BTO)—were systematically investigated. The main results were as follows: (i) all the reactions of the form 6Bi2O3+ MO2→> γ-Bi12 MO20 (SR1 for M = Si, SR2 for M = Ge, SR3 for M = Ti) in the solid state seemed to be diffusion-controlled processes and were affected by both temperature and time, where the reaction temperature increases in the order SR1 < SR2 < SR3; (ii) the metastable phases Bi2 SiO5 (tetragonal) in reaction SR1, Bi2 GeO5 (orthorhombic) in reaction SR2, Bi4 Ti3 O12 (orthorhombic) in reaction SR3 may be formed and seemed to greatly accelerate the above-mentioned solid-state reaction processes; and (iii) for a continuous heating process, pure γ-Bi12 SiO20 and γ-Bi12 GeO20 could be produced before melting, whereas pure γ-Bi12 TiO20 could not be produced, even if all the mixed phases had melted. 相似文献
This paper presents some novel synchronization methods for two discrete-time chaotic systems with different time delays, which are transformed into two unified models. First, the H∞ performance of the synchronization error dynamical system between the drive unified model and the response one is analyzed using the linear matrix inequality (LMI) approach. Second, the novel state feedback controllers are established to guarantee H∞ performance for the overall system. The parameters of these controllers are determined by solving the eigenvalue problem (EVP). Most discrete-time chaotic systems with or without time delays can be converted into this unified model, and H∞ synchronization controllers are designed in a unified way. The effectiveness of the proposed design methods are demonstrated by three numerical examples.