Riesz-spectral系统的统一近似可控性和可观测性The Simultaneous Approximate Controllability and Observability of Riesz-spectral Systems
孙立群,杨威
摘要(Abstract):
研究了Hilbert空间Xi上具有有穷秩输入和输出的Riesz-Spectral系统Σ(Ai,Bi,Ci):.zi(t)=Aizi(t)+Biu(t),zi(0)=z0iyi(t)=Cizi(t)i=1.2在无穷时间段上的统一近似可控性和可观测性,利用矩阵的秩得到了判断统一近似可控性和可观测性的充要条件。
关键词(KeyWords): Riesz-spectral系统;统一近拟可控制;统一近拟可观测性
基金项目(Foundation): 山西省自然科学基金(200611006)
作者(Author): 孙立群,杨威
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