Distributed system transfer functions of exponential order
作者:
F. M. CALLIER,
J. WINKIN,
期刊:
International Journal of Control
(Taylor Available online 1986)
卷期:
Volume 43,
issue 5
页码: 1353-1373
ISSN:0020-7179
年代: 1986
DOI:10.1080/00207178608933544
出版商: Taylor & Francis Group
数据来源: Taylor
摘要:
σo is a real number. We construct a transfer function algebra of fractions, viz. F˚(σo), for modelling possibly unstable distributed systems such that (i) [fcirc] in F˚(σo) is holomorphic in Re s ≧ σo, (i.e. is σo-stable), iff [fcirc] is σo-exponentially stable, and (ii) we allow delay in the direct input-output transmission of the system. This algebra is (a) a restriction of the algebra B˚(σo) developed by Callier and Desoer (1978, 1980 a), (b) an extension of the algebra of proper rational functions such that the exponential order properties of the latter transfer functions of lumped systems are maintained. The algebra F˚ (σo) can be used for modelling and feedback system design. It is shown that standard semigroup systems are better modelled by a transfer function in F˚(σo) rather than B˚(σo).
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