Finite-time global chaos synchronization for piecewise linear maps

被引：28
作者：
Millerioux, G [1 ]
Mira, C
机构：
[1] Ecole Super Sci & Technol Ingn, Ctr Rech Automat Nancy, F-54500 Vandoeuvre Les Nancy, France
[2] MIDIVAL, Toulouse, France
来源：
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS | 2001年 / 48卷 / 01期
关键词：
chaos synchronization; finite-time; linear matrix inequalities; maps;
D O I：
10.1109/81.903194
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
In this paper, sufficient conditions of global synchronization in finite-time, which can be minimum, are presented for the generic class of piecewise linear maps. The conditions of synchronization are based upon general results of the robust control theory, the observability theory, and the specificity of the chaotic motion generated by the map. The robust control theory results enable global synchronization with disturbances cancellation. Observability and assignment of eigenvalues ensure finite-time synchronization. A systematic methodology for designing a global finite-time synchronization derived from those conditions is presented. From a practical point of view, this only requires classical numerical solvers. finite-time global synchronization can be of interest for applications such as digital communications.
引用
收藏
页码：111 / 116
页数：6
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