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SCIENTIA SINICA Informationis, Volume 47 , Issue 3 : 326-336(2017) https://doi.org/10.1360/N112016-00054

Pole assignment for a singular distributed parameter system coupled with a singular lumped parameter system}{Pole assignment for a singular distributed parameter system coupled with a singular lumped parameter system

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  • ReceivedMar 15, 2016
  • AcceptedAug 15, 2016
  • PublishedDec 9, 2016

Abstract


Funded by

国家自然科学基金(61174081)


References

[1] Trazaska Z, Maszalek W. Singular distributed parameter systems. IEEE Proc-D Control Theo App, 1993, 140: 305-308 CrossRef Google Scholar

[2] Ge Z Q, Zhu G T, Feng D X. Exact controllability for singular distributed parameter system in Hilbert space. Sci China Ser F-Inf Sci, 2009, 52: 2045-2052 CrossRef Google Scholar

[3] Ge Z Q, Feng D X. Well-posed problem of nonlinear singular distributed parameter systems and nonlinear GE-semigroup. Sci China Inf Sci, 2013, 56: 128201. Google Scholar

[4] Sun S H. On spectrum distribution of completely controllable linear system. SIAM J Control Optim, 1981, 19: 730-743. Google Scholar

[5] Wang K N, Lü T, Zou Z Y. On the pole assignment for the distributed parameter system. Sci China Ser A, 1982, 12: 172-184 [王康宁, 吕涛, 邹振宇. 分布参数控制系统的极点配置问题. 中国科学A辑, 1982, 12: 172-184]. Google Scholar

[6] Wang K N. On the pole assignment for the distributed parameter system coupled with lumped parameter system. J Sys Sci Math Sci, 1982, 2: 95-108 [王康宁. 分布参数与集中参数耦合系统的极点配置问题. 系统科学与数学, 1982, 2: 95-108]. Google Scholar

[7] Fat Ho L. Spectrum assignability of systems with scalar control and application to a degenerate hyperbolic system. SIAM J Control Optim, 1986, 24: 1212-1231 CrossRef Google Scholar

[8] Xu C, Sallet G. On spectrum and Riesz basis assignment of infinite-dimensional linear systems by bounded linear feedbacks. SIAM J Control Optim, 1996, 34: 521-541 CrossRef Google Scholar

[9] Ge Z Q, Ma Y H. Pole assignment of the first order generalized distributed parameter system. Chin Ann Math, 2001, 22A: 729-734 [葛照强,马勇镐.一阶广义分布参数系统的极点配置问题. 数学年刊, 2001, 22A: 729-734]. Google Scholar

[10] Liu F, Ge Z Q, Shi G D. The control synthesis problem for the second order singular distributed parameter system with multiple inputs. Sci Sin Inform, 2012, 42: 1445-1458 [刘锋,葛照强,史国栋. 多输入的二阶广义分布参数系统的控制综合问题. 中国科学: 信息科学, 2012, 42: 1445-1458]. Google Scholar

[11] Wang Y W. Theory of Generalized Inverse of Operator and its Applications in Banach Space. Beijing: Science Press, 2005 [王玉文. Banach空间中算子广义逆理论及应用. 北京: 科学出版社, 2005]. Google Scholar

[12] Halmos P R. A Hilbert Space Problem Book. New York: Springer-Verlag, 1982. Google Scholar