文章基本信息

标题：Approximate Controllability of Abstract Discrete-Time Systems
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作者：Hernán R. Henríquez ; Claudio Cuevas
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2010
卷号：2010
期号：1
页码：695290
DOI：10.1155/2010/695290
语种：English
出版社：Hindawi Publishing Corporation
摘要：Approximate controllability for semilinear abstract discrete-time systems is considered. Specifically, we consider the semilinear discrete-time system , , where are bounded linear operators acting on a Hilbert space , are -valued bounded linear operators defined on a Hilbert space , and is a nonlinear function. Assuming appropriate conditions, we will show that the approximate controllability of the associated linear system implies the approximate controllability of the semilinear system.
关键词：Hilbert Space ; Finite Time ; Lipschitz Condition ; Finite Dimension ; Linear Projection