线性连续衰退记忆系统的可分性  

SEPARABILITY OF LINEAR CONTINUOUS FADING MEMORY SYSTEMS

作　　者：张传义[1] 武女则[2] 

机构地区：[1]哈尔滨工业大学数学系,哈尔滨150001 [2]天津外国语学院基础课教学部,天津300204

出　　处：《系统科学与数学》2007年第2期293-301,共9页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金(10671046)资助课题.

摘　　要：为逼近建模和辨识问题的需要,讨论线性时变连续有界输入有界输出稳定衰退记忆系统的不同子类．从衰退记忆系统的子类包括概周期系统,渐近周期系统,渐近强周期系统,找到了LTV系统的可分子空间即渐近强周期系统．Motivated by problems from approximate modeling and identification,we con- sider various classes of linear continuous time-varying bounded input-bounded output（BIBO） stable fading memory systems.These include fading memory systems,in general,almost pe- riodic systems,asymptotically periodic systems and asymptotically strong periodic systems. And we find that asymptotically strong periodic systems are the only separable subspace of LTV systems.

关 键 词：衰退记忆 渐近周期 渐近强周期 

分 类 号：O231.1[理学—运筹学与控制论]