期刊文献+

线性系统的容许观测性

Admissible Observation Operator for Linear Systems
下载PDF
导出
摘要 给出观测算子的一种弱有限时、弱无限时容许性定义,讨论了在C0-半群满射条件下此类容许性与通常的容许性等价. In this paper, the finite time and infinite time admissibilities of unbounded observation operators are introduced for linear systems in Banach spaces, the equivalences of the weak admissibilities and the general admissibility are proved under the condition that the C0-semigroup mapping S(t) is surjective.
作者 王亚雄 曾意
出处 《四川师范大学学报(自然科学版)》 CAS CSCD 北大核心 2008年第5期513-515,共3页 Journal of Sichuan Normal University(Natural Science)
基金 四川省教育厅重点项目基金(2005A168)资助项目
关键词 G0-半群 容许观测 无界算子 弱容许观测 C0-semigroup Admissible observation Unbounded operator Weak admissible observation
  • 相关文献

参考文献11

  • 1Curtain R F, Zwart H. An Introduction to Infinite-Dimensional Linear Systems Theory[ M ]. New York:Springer-Vedag, 1995. 被引量:1
  • 2周鸿兴,王连文著..线性算子半群理论及应用[M].济南:山东科学技术出版社,1994:521.
  • 3吴开腾,曾意.观测泛函的无限时p-容许性[J].四川师范大学学报(自然科学版),2004,27(3):248-250. 被引量:1
  • 4高文华,卜春霞.广义C_0半群的谱映射定理[J].郑州大学学报(自然科学版),2001,33(2):22-25. 被引量:6
  • 5Prichard A J, Salamon D. The linear quadratic control problem for retarded systems with delays in control and observation [ J ]. SIMA J Math Control Information, 1985 (2) : 335-362. 被引量:1
  • 6Ho L F, Russell P L. Admissible input elements for systems in Hilbert space and a Carleson measure criterion[J]. SIAM J Control Optim,1983(3) :17-43. 被引量:1
  • 7Weiss G. Admissible observation operators for linear semigroups [ J ]. Israel J Math, 1989 ( 1 ) : 17-43. 被引量:1
  • 8Weiss G. Admissibility of unbounded control operators [ J ]. SIAM J Control Optim, 1989 (3) :527-545. 被引量:1
  • 9Grabowski P, Callier F M. Admissible observation operators, semigroup criteria of admissibility [ J ]. Integr Equ Oper Theory, 1999( 1 ) :53-64. 被引量:1
  • 10Jacob B, Partington J R. Admissibility of control and observation operators for semigroups :a survey [ C ]//Ball J A, Helton J W, Klaus K, et al. Rodman : Current Trends in Operator Theory and Its Applications, Proceedings of IWOTA 2002, Operator Theory : Advances and Applications. Basel/Switzerland : Birkhauser Verlag,2004,149 : 199-221. 被引量:1

二级参考文献2

共引文献5

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部