Continuous-time chaotic systems: Arbitrary full-state hybrid projective synchronization via a scalar signal

作     者：Giuseppe Grassi Giuseppe Grassi Dipartimento Ingegneria Innovazione, Universitàdel Salento–73100 Lecce, Italy

作者机构：Dipartimento Ingegneria Innovazione Universitàdel Salento-73100 LecceItaly 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2013年第22卷第8期

页      面：333-338页

核心收录：

学科分类：080902[工学-电路与系统] 07[理学] 0809[工学-电子科学与技术（可授工学、理学学位）] 08[工学] 070201[理学-理论物理] 0702[理学-物理学] 

主　　题：continuous-time chaotic systems chaos synchronization observer-based synchronization scalarsynchronizing signal 

摘      要：Relerrlng to contlnuous-Ume claaotlc systems, tills paper presents a new projective syncnromzatlon scheme, wnlcn enables each drive system state to be synchronized with a linear combination of response system states for any arbitrary scaling matrix. The proposed method, based on a structural condition related to the uncontrollable eigenvalues of the error system, can be applied to a wide class of continuous-time chaotic （hyperchaotic） systems and represents a general framework that includes any type of synchronization defined to date. An example involving a hyperchaotic oscillator is reported, with the aim of showing how a response system attractor is arbitrarily shaped using a scalar synchronizing signal only. Finally, it is shown that the recently introduced dislocated synchronization can be readily achieved using the conceived scheme.