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Outer synchronization of uncertain small-world networks via adaptive sliding mode control

Outer synchronization of uncertain small-world networks via adaptive sliding mode control
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摘要 The outer synchronization of irregular coupled complex networks is inves- tigated with nonidentical topological structures. The switching gain is estimated by an adaptive technique, and a sliding mode controller is designed to satisfy the sliding con- dition. The outer synchronization between two irregular coupled complex networks with different initial conditions is implemented via the designed controllers with the corre- sponding parameter update laws. The chaos synchronization of two small-world networks consisting of N uncertain identical Lorenz systems is achieved to demonstrate the appli- cations of the proposed approach. The outer synchronization of irregular coupled complex networks is inves- tigated with nonidentical topological structures. The switching gain is estimated by an adaptive technique, and a sliding mode controller is designed to satisfy the sliding con- dition. The outer synchronization between two irregular coupled complex networks with different initial conditions is implemented via the designed controllers with the corre- sponding parameter update laws. The chaos synchronization of two small-world networks consisting of N uncertain identical Lorenz systems is achieved to demonstrate the appli- cations of the proposed approach.
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2015年第3期319-328,共10页 应用数学和力学(英文版)
基金 Project supported by the State Key Program of the National Natural Science Foundation of China(No.11232009) the Shanghai Leading Academic Discipline Project(No.S30106)
关键词 adaptive synchronization sliding mode control Lyapunov stability small- world network adaptive synchronization, sliding mode control, Lyapunov stability, small- world network
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