An unidirectional and bidirectional hybrid connective star network model with coupling time-delay is constructed in this paper. According to synchronization error systems, adaptive controllers for each node are struct...An unidirectional and bidirectional hybrid connective star network model with coupling time-delay is constructed in this paper. According to synchronization error systems, adaptive controllers for each node are structured by using the linear system stability method and the Lyapunov stability method. These adaptive controllers can realize the modified functional projective synchronization between each node of star network and an isolated node by argument and analysis. Finally, the corrective and effective of the adaptive controllers are illustrated by some numerical examples.展开更多
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 iden...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.展开更多
基金Supported by the National Natural Science Foundation of China(11161027)Natural Science Foundation of Gansu Province(1610RJZA080)the Foundation of Gansu Education Bureau(2017A-155)
文摘An unidirectional and bidirectional hybrid connective star network model with coupling time-delay is constructed in this paper. According to synchronization error systems, adaptive controllers for each node are structured by using the linear system stability method and the Lyapunov stability method. These adaptive controllers can realize the modified functional projective synchronization between each node of star network and an isolated node by argument and analysis. Finally, the corrective and effective of the adaptive controllers are illustrated by some numerical examples.
基金the National Natural Science Foundation of China(11161027)Natural Science Foundation of Gansu Province(21JR1RA259,20JR10RA329)the Foundation of Gansu Education Bureau(2020A-191)。
文摘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.
