Finite-Time Generalized Synchronization and Parameter Identification of Chaotic Systems with Different Dimensions

Abstract

Finite-time generalized synchronization and parameter identification of chaotic systems with different dimensions are studied in this paper. Based on finite-time stability theory, adaptive controllers and parameter identification rules are proposed to realize generalized synchronization of chaotic systems and identify accurately all their unknown parameters in finite time. At the same time, the obtained synchronization time formula can estimate the required longest time for realizing the generalized synchronization of chaotic systems, which solely depends on the initial values of chaotic systems and is easily calculated in numerical simulation. At the last, some numerical examples are presented to illustrate the effectiveness and correctness of the obtained conclusions.