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Titlebook: Stability Theory; Hurwitz Centenary Co Rolf Jeltsch,Mohamed Mansour Conference proceedings 1996 Birkhäuser Verlag 1996 Hadamard.approximati

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书目名称Stability Theory
副标题Hurwitz Centenary Co
编辑Rolf Jeltsch,Mohamed Mansour
视频video
丛书名称International Series of Numerical Mathematics
图书封面Titlebook: Stability Theory; Hurwitz Centenary Co Rolf Jeltsch,Mohamed Mansour Conference proceedings 1996 Birkhäuser Verlag 1996 Hadamard.approximati
描述This book contains the historical development of the seminal paper of Adolf Hurwitz, professor in mathematics at ETH (1892~1919), and its impact on other fields. The major emphasis, however, is on modern results in stability theory and its application in the theory of control and numerics. In particular, stability of the following problems is treated: linear, nonlinear and time-dependent systems, discretizations of ordinary and partial differential equations, systems with time delay on multidimensional systems. In addition robust stability, pole placement and problems related to the stability radius are treated. The book is an outgrowth of the international conference "Centennial Hurwitz on Stability Theory" which was held to honor Adolf Hurwitz, whose arti­ cle on the location of roots of a polynomial was published one hundred years ago. The conference took place at the Centro Stefano Franscini, Monte Verita, Ascona, Switzerland, on May 21~26, 1995. This book contains a collection of the papers and open problem:; discussed all that occasion. Leading researchers from allover the world working on stability theory and its application were invited to present their recent results. In o
出版日期Conference proceedings 1996
关键词Hadamard; approximation; control system; control theory; differential equation; functions; fuzzy; index the
版次1
doihttps://doi.org/10.1007/978-3-0348-9208-7
isbn_softcover978-3-0348-9945-1
isbn_ebook978-3-0348-9208-7Series ISSN 0373-3149 Series E-ISSN 2296-6072
issn_series 0373-3149
copyrightBirkhäuser Verlag 1996
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A Generalization of the Orlando Formula — Symbolic Manipulation Approachr two approaches are presented. The first one uses a recursive procedure based on resultants and Hurwitz determinants, and the second exploits the theory of symmetric functions. Both methods are implemented as symbolic manipulation algorithms in Maple V. The results obtained are illustrated with an example of application.
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On the Computation of Stability Profilesn extension of this approach allows to generate the stability profile. This is part of the boundary of the root set of the uncertain system containing the most important stability information. The efficiency of the method is demonstrated by a robustness analysis of the DLR plate experiment with 60 uncertain parameters.
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