| C-半群LyapunoV方程的自伴解与稳定性 |
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| 引用本文： | 陈闯,宋晓秋,李晓敏.C-半群LyapunoV方程的自伴解与稳定性[J].南京大学学报(自然科学版),2008,25(1):86-93. |
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| 作者姓名： | 陈闯 宋晓秋 李晓敏 |
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| 作者单位： | 中国矿业大学理学院; |
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| 基金项目： | 中国矿业大学校科研和教改项目 |
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| 摘 要： | 本文讨论了Hilbert空间上C-半群Lyapunov方程的自伴解,推广了Lyapunov定理,进而给出自伴解渐近稳定的充分条件,并对渐近稳定的C-群的上界作出进一步的估计.
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| 关 键 词： | C-半群 Lyapunov方程 自伴算子 渐近稳定 |
THE SELF-ADJOINT SOLUTION OF LYAPUNOV'S EQUATION OF C-SEMIGROUPS AND STABILITY |
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| Chen Chuang Song Xiaoqiu , Li Xiaomin.THE SELF-ADJOINT SOLUTION OF LYAPUNOV''S EQUATION OF C-SEMIGROUPS AND STABILITY[J].Journal of Nanjing University: Nat Sci Ed,2008,25(1):86-93. |
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| Authors: | Chen Chuang Song Xiaoqiu Li Xiaomin |
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| Institution: | School of Sciences;China University of Mining and Technology;221008;Xuzhou PRC |
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| Abstract: | In this paper,we discuss the self-adjoint solution of the Lyapunov equation of C semigroups in Hilbert space,which extends a theorem of Lyapunov.Moreover,a sufficient condition for self-adjoint solution of asymptotic stability is obtained and a sharper upper bound of asymptotically stable Csemigroup is given. |
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| Keywords: | C-semigroups Lyapunov equation self-adjoint operator asymptotic stability |
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