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IMA Journal of Mathematical Control and Information 1996 13(2):157-171; doi:10.1093/imamci/13.2.157
© 1996 by Institute of Mathematics and its Applications
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On the stability problem of interwining continuous-time systems in Hilbert spaces

JINGBO WU and SHANGWEI ZHU

Department of Computer and System Sciences, Nankai University, Tianjin 300071 China
Teaching and Research Section of Mathematics, Shanxi Finance and Economics College, Taiyuan 030012 China

In this paper, we are concerned with the stability problem for interwining systems. Suppose that two values of two C0 semigroups are intertwined by an operator. The stability relationships between these semigroups are considered. Applications to systems with a rigged structure are presented.


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