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一类时滞系统的解半群的范数连续性 被引量:1

Norm Continuity of Solution Semigroups for Linear Delay Systems
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摘要 讨论了时滞线性系统的解半群的范数连续性,其方法是:在一个特定的相空间中,把时滞系统转化为无时滞的抽象柯西问题,再运用半群理论解决解半群的范数连续性. This paper is concerned with the norm continuity of linear delay systems.Transforming the delay equation into an abstract Cauchy problem in a special phase space and then using the semigroup theory,we obtain the norm continuity of the delay semigroup for the linear delay systems.
出处 《西南大学学报(自然科学版)》 CAS CSCD 北大核心 2011年第11期39-42,共4页 Journal of Southwest University(Natural Science Edition)
基金 重庆市自然科学基金资助项目(CSTC 2009BB3185)
关键词 时滞系统 C0半群 范数连续性 time-delay system C0 semigroup norm continuity
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  • 1赵海霞,李扬荣.广义生灭矩阵演绎出的算子半群(英文)[J].西南大学学报(自然科学版),2007,29(4):29-33. 被引量:1
  • 2Webb G F. Autonomous Nonlinear Functional Differential Equations and Nonlinear Semigroups[J]. J Math Anal Appl, 1974, 46(1) : 1 -- 12.
  • 3Mao X. Exponential Stability of Nonlinear Differential Delay Equations [J]. Systems & Control Letters, 1996, 28(3): 159 -- 165.
  • 4Li C D, Yan Q. Comments on "Exponential Stability of Nonlinear Differential Delay Equations" [J]. Systems & Control Letters, 2008, 57(10): 834--835.
  • 5Curtain R.F.and Pritchard A.J.,Infinte Dimensional Linear Systems Theory[M],New York:Springer-Verlag,1978.
  • 6Curtain R.F.and Zwart H.,An Introduction to Infinite-Dimensional Linear Systems Theory[M],New York:Springer-Verlag,1995.
  • 7Lions J.L.,Optimal Control of Systems Governed by Partial Differential Equations[M],New York:Springer-Verlag,1971.
  • 8Bátkai A.and Piazzera S.,Semigroups and linear differential equations with delay[J],J.Math.Anal.Appl.,2001,264:1-20.
  • 9Hale J.K.,Theory of Functional Differential Equations[M],New York:Springer-Verlag,1977.
  • 10Nakagiri S.,Structural properties of functional differential equations in Banach spaces[J],Osaka J.Math.,1988,25:353-398.

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  • 1于欣,刘康生.线性控制系统对小时滞的鲁棒能控性[J].数学年刊(A辑),2007,28(2):151-158. 被引量:3
  • 2DUNFORD N, SCHWARTZ J T. Linear Operators, Part [ : General Theory [M] New York: Interscience Publisher, 1958.
  • 3I.EVIA H. Unbounded Perturbation of the Controllability for Evolution Equations [M]. J Math Anal Appl, 2003, 2(80) : 1-8.
  • 4JIANG W S, GUO F M, HUANG F L. Well Posedness of Linear Partial Differential Equations with Unbound Delay Op erators [J]. J Math Anal Appl, 2004, 29(3): 310-328.
  • 5RUTH F, ZWART H. An Introduction to Infinite Dimensional Linear Systems Theory [M]. Berlin: Springer-Verlay, 1995.

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