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Timoshenko梁的耗散边界反馈控制 被引量:4

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摘要 研究Timoshenko梁的非线性耗散边界反馈镇定.首先利用非线性半群理论证明闭环系统的适定性.然后利用LaSalle不变原理证明梁的振动在所建议的非线性控制作用下随时间渐近趋于0.进而对控制的非线性作进一步的限制,利用能量摄动方法得到梁的闭环振动指数稳定.
出处 《中国科学(A辑)》 CSCD 1997年第12期1075-1082,共8页 Science in China(Series A)
基金 国家自然科学基金资助项目
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  • 1Liu K S, Liu Z Y and Rao Bopeng. Exponential stability of an abstract non-dissipative linear svstem. SIAM J. Cont. Optim., 2001, 40(1): 1149-165.
  • 2章春国 赵宏亮.Timoshenko梁点反馈的稳定性[Z].,..
  • 3Admas R A. Sobolev Space. Academic Press, 1975.
  • 4Pazy A. Semigroups of Linear Operators and Applications to Partial Differential Equations. Springer,New York, 1983.
  • 5Lions J L and Magenes E. Probléms aux limits non homogenes et applications. Dunod, Paris,1968.
  • 6Russell D L. Decay rates for weakly damped systems in Hilbert space obtained with control theoretic methods. Differential Equations, 1975, 19: 344-370.
  • 7Ammaxi K, Tucsnak M. Stabilization of Bernoulli-Euler beams by means of a pointwise feedback force. SIAM J. Cont. Optim., 2000, 39(4): 1160-1181.
  • 8Ammari K,Tucsnak M.Stabilization of Bernoulli-Euler beams by means of a pointwise feedback force[J].SIAM J Control Optim,2000,39(4):1160-1181.
  • 9Liu Kangsheng,Liu Zhuangyi,Rao Bopeng.Exponential stability of an abstract non-dissipative linear system[J].SIAM J Control Optim,2001,40(1):149-165.
  • 10Pazy A.Semigroups of Linear Operators and Applications to Partial Differential Equations[M].New York:Springer,1983.

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