一类状态线性系统∑(A,B,-)精确零能控的充分必要条件One Sufficient and Necessary Conditions for Exact Null Controliabolity of a Kind State Linear System ∑(A,B,-)
邢凤龙,李胜家
摘要(Abstract)：
研究Hilbert空间Z=L2(0,∞)上,状态线性系统∑(A,B,-)在[0,τ]上(对某个有限的τ)精确零能控的充分必要条件,其中A为平移半群T(t)的无穷小生成元,B为正交投影算子。
关键词(KeyWords)： 状态线性系统;精确零能控;精确可控
基金项目(Foundation):
作者(Author): 邢凤龙,李胜家
参考文献(References)：
- [1]CURTAIN R F,ZWART H.An Introduction to Infinite-Dimensional Linear systems Theory,Texts in Applied Mathematics,Vol.21[M].Springer,New York,1995.
- [2]LIONS J L.Controlabilite exacte perturbations et Stabilisation de sysetmes distribues 1[R].Rech.Mach.Appl.8,Massion,Par-is,1988.
- [3]KOMORNIK V.Exact Controllability and Stabilization-The Multiplier Method,RAMRes[M].Appl.Mach.,John Wiley,Chi-chester,UK,Masson,Paris,1994.
- [4]GEORGE WEISS,RICHARD REBARBER.Optimizability and Estimatability for Infinite-Dimensional Linear Systems[J].SIAMJ.control optim.2000,39,1204-1232.
- [5]A PAZY.Semigroups of Linear Operators and Applications to Partial Differential Equations[M].Springer-Verlog,NewYork,1983.
- [6]张恭庆,郭懋正.泛函分析讲义(下册)[M].北京:北京大学出版社,1990.