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一类无穷维系统的零能控性

Null Controllability of a Class of Infinite Dimensional Systems
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摘要 研究一类控制变量只依赖于时间变量的无穷维控制系统的零能控问题.通过把系统的零能控性问题转化为与之等价的一个矩问题的可解性问题,在恰当的条件下,利用谱分析的方法,得到2个结果:一个是正面的结果,一个是负面的结果. We consider the null controllability for a class of infinite dimensional systems with control depending only on time variable. By means of transforming the original null controllability problem to the solvability of an equivalent moment problem for the system and making use of the method of spectral analysis under some suitable conditions,we obtain two meaningful results: one result is positive and the other is negative.
作者 尹忠旗
出处 《四川师范大学学报(自然科学版)》 CAS 北大核心 2015年第5期633-637,共5页 Journal of Sichuan Normal University(Natural Science)
基金 国家自然科学基金青年基金(11401404) 四川省教育厅自然科学青年科研基金(13ZB0164)
关键词 零能控 矩问题 指数型 无穷维系统 null controllability moment problem exponential type infinite dimensional system
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  • 1Li, X., Yong, J.: Optimal Control Theory for Infinite Dimensional Systems, Birkhauser, Boston, 1995. 被引量:1
  • 2Phung, K., Wang, G., Zhang, X.: On the existence of time optimal control of some linear evolution equations. Discrete and Continuous Dynamical Systems, Series B, 8, 925-941 (2007). 被引量:1
  • 3Wang, G.: L--null controllability for the heat equation and its consequences for the time optimal control problem. SIAM J. Control Optim., 47, 1701-1720 (2008). 被引量:1
  • 4Li, X., Yao, Y.: Time optimal control for distributed parameter systems. Scientia Sinica, 24, 455-465 (1981). 被引量:1
  • 5Yong, J.: Time optimal control for semilinear distributed parameter systems-existence theory and necessary conditions. Kodai Math. J., 14, 239-253 (1991). 被引量:1
  • 6Fattorini, H. O.: Time optimal control of solutions of operational differential equations. SIAM J. Control Optim., 2, 54-49 (1964). 被引量:1
  • 7Lions, J. L.: Optimal Control of Systems Governed by Partial Differential Equations, Springer-Verlag, Berlin, Heidelberg, New York, 1971. 被引量:1
  • 8Schmidt, E. J. P. G.: The 'bang-bang' principle for time-optimal problem in boundary control of the heat equation. SIAM J. Control Optim., 18, 101-107 (1980). 被引量:1
  • 9Mizel, V. J., Seidman, T. I.: An abstract 'bang-bang principle' and time-optimal boundary control of the heat equation. SIAM J. Control Optim., 35, 1204-1216 (1997). 被引量:1
  • 10Wang, G.: The existence of optimal control of semilinear parabolic equations. System and Control Letters, 53, 171-175 (2004). 被引量:1

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