期刊名称：International Journal of Applied Mathematics and Computer Science
电子版ISSN：2083-8492
出版年度：2019
卷号：29
期号：1
页码：1-16
DOI：10.2478/amcs-2019-0014
出版社：De Gruyter Open
摘要：This paper deals with the synchronization of fractional-order chaotic discrete-time systems. First, some new concepts
regarding the output-memory observability of non-linear fractional-order discrete-time systems are developed. A rank
criterion for output-memory observability is derived. Second, a dead-beat observer which recovers exactly the true state
system from the knowledge of a finite number of delayed inputs and delayed outputs is proposed. The case of the presence
of an unknown input is also studied. Third, secure data communication based on a generalized fractional-order H´enon map
is proposed. Numerical simulations and application to secure speech communication are presented to show the efficiency
of the proposed approach.
关键词：fractional;order discrete time systems; chaotic map; chaotic synchronization; dead;beat observer; secure data
communication
