Approximate Controllability of Abstract Discrete-Time Systems

被引：0
|
作者：
Hernán R. Henríquez
Claudio Cuevas
机构：
[1] Universidad de Santiago (USACH),Departamento de Matemática
[2] Universidade Federal de Pernambuco,Departamento de Matemática
来源：
Advances in Difference Equations | / 2010卷
关键词：
Hilbert Space; Finite Time; Lipschitz Condition; Finite Dimension; Linear Projection;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Approximate controllability for semilinear abstract discrete-time systems is considered. Specifically, we consider the semilinear discrete-time system [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext], where [inline-graphic not available: see fulltext] are bounded linear operators acting on a Hilbert space [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext] are [inline-graphic not available: see fulltext]-valued bounded linear operators defined on a Hilbert space [inline-graphic not available: see fulltext], and [inline-graphic not available: see fulltext] is a nonlinear function. Assuming appropriate conditions, we will show that the approximate controllability of the associated linear system [inline-graphic not available: see fulltext] implies the approximate controllability of the semilinear system.
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