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Titlebook: Geometrical Methods for the Theory of Linear Systems; Proceedings of a NAT Christopher I. Byrnes,Clyde F. Martin Conference proceedings 198

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书目名称Geometrical Methods for the Theory of Linear Systems
副标题Proceedings of a NAT
编辑Christopher I. Byrnes,Clyde F. Martin
视频video
丛书名称Nato Science Series C:
图书封面Titlebook: Geometrical Methods for the Theory of Linear Systems; Proceedings of a NAT Christopher I. Byrnes,Clyde F. Martin Conference proceedings 198
描述The lectures contained in this book were presented at Harvard University in June 1979. The workshop at which they were presented was the third such on algebro-geometric methods. The first was held in 1973 in London and the emphasis was largely on geometric methods. The second was held at Ames Research Center-NASA in 1976. There again the emphasis was on geometric methods, but algebraic geometry was becoming a dominant theme. In the two years after the Ames meeting there was tremendous growth in the applications of algebraic geometry to systems theory and it was becoming clear that much of the algebraic systems theory was very closely related to the geometric systems theory. On this basis we felt that this was the right time to devote a workshop to the applications of algebra and algebraic geometry to linear systems theory. The lectures contained in this volume represent all but one of the tutorial lectures presented at the workshop. The lec­ ture of Professor Murray Wonham is not contained in this volume and we refer the interested to the archival literature. This workshop was jointly sponsored by a grant from Ames Research Center-NASA and a grant from the Advanced Study Institute
出版日期Conference proceedings 1980
关键词Mathematica; algebraic geometry; applied mathematics; calculus; geometry; system; systems theory
版次1
doihttps://doi.org/10.1007/978-94-009-9082-1
isbn_softcover978-94-009-9084-5
isbn_ebook978-94-009-9082-1Series ISSN 1389-2185
issn_series 1389-2185
copyrightD. Reidel Publishing Company, Dordrecht, Holland 1980
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https://doi.org/10.1057/9780230374720l behavior that is discussed in this paper. The feedback structure of linear systems can be deduced through a vector bundle structure on ℙ. (ℂ) induced from the “natural bundle” structure on the Grassmannian manifold.
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Conference proceedings 1980 algebro-geometric methods. The first was held in 1973 in London and the emphasis was largely on geometric methods. The second was held at Ames Research Center-NASA in 1976. There again the emphasis was on geometric methods, but algebraic geometry was becoming a dominant theme. In the two years afte
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Algebraic and Geometric Aspects of the Analysis of Feedback Systems,Thus (1.1)’ is an external description of σ, as one might see in Ohm’s law, where (1.1) is an internal description (i.e., involving states) of σ, as one might see in the non-autonomous differential equations for an RLC network being driven by an applied current u(t) and generating a voltage y(t).
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(Fine) Moduli (Spaces) for Linear Systems: What are they and what are they Good for?, talks at this conference and similar problems as in these talks for networks will be discussed by Tyrone Duncan. The classifying fine moduli space cannot readily be extended and the concluding sections are devoted to this observation and a few more related results.
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Grassmannian Manifolds, Riccati Equations and Feedback Invariants of Linear Systems,l behavior that is discussed in this paper. The feedback structure of linear systems can be deduced through a vector bundle structure on ℙ. (ℂ) induced from the “natural bundle” structure on the Grassmannian manifold.
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