双回路复杂波网络的镇定  

Stabilization of the complex wave network with two circuits

作　　者：王雷[1] 许跟起[2] 

机构地区：[1]天津大学电气与自动化工程学院自动化系,天津300072 [2]天津大学理学院数学系,天津300072

出　　处：《控制理论与应用》2011年第6期759-762,共4页Control Theory & Applications

基　　金：国家自然科学基金资助项目(NSFC–60874034)

摘　　要：本文研究双回路的复杂波网络系统,主要探索带回路系统的控制问题,通过设计反馈控制器使得闭环系统稳定.同时借助于谱分析方法讨论了相应闭环系统算子谱的分布情况并证明了系统算子的(广义)本征向量构成状态空间上的一组加括号Riesz基,得到了闭环系统特征模态的展开.A complex wave network with two circuits is stabilized by using a feedback controller for stabilizing the closed-loop. By the spectral analysis, we prove that the system is asymptotic stable, and the spectra of the closed-loop sys- tem operator is located in a strip on the left half complex plane and being parallel to the imaginary axis. As a consequence, the sequence of eigenvectors and generalized eigenvectors of the system operator forms the parenthesized Riesz basis for the state space. Hence, the solution of the system can be expanded in the characteristic modes of the system.

关 键 词：复杂网络 C0半群 渐近稳定 谱分析 特征模态 

分 类 号：O157.5[理学—数学]