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Titlebook: Mathematical Systems Theory; Proceedings of the I Giovanni Marchesini,Sanjoy Kumar Mitter Conference proceedings 1976 Springer-Verlag Berli

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书目名称Mathematical Systems Theory
副标题Proceedings of the I
编辑Giovanni Marchesini,Sanjoy Kumar Mitter
视频video
丛书名称Lecture Notes in Economics and Mathematical Systems
图书封面Titlebook: Mathematical Systems Theory; Proceedings of the I Giovanni Marchesini,Sanjoy Kumar Mitter Conference proceedings 1976 Springer-Verlag Berli
描述This volume is the record of lectures delivered at the Conference on Mathematical System Theory during the summer of 1975. The conference was held at the International Centre for Mechanical Sciences in Udine, Italy, and was supported by the Consiglio Nazionale delle Richerche of Italy and the International Centre for Mechanical Sciences. The aim of the conference was to encourage fruitful and active collaboration between researchers working in the diverse areas of system theory. It was also the hope of the organizers that mathematicians participating in the conference might become interested in the purely mathematical problems being raised by systems theory as a result of their participation. The success of the conference is to be measured by the extent to which these aims were fulfilled. Besides the formal programme of lectures recorded in this volume, many informal seminars were held. The cafes of Udine were often the scene of rich and varied discussions of recent developments in the field amongst the participants of the conference. Last but not least, listening to the ideas exposed in the lectures of others in a creative atmosphere was an important activity.
出版日期Conference proceedings 1976
关键词Algebra; Finite; Invariant; equation; function; theorem
版次1
doihttps://doi.org/10.1007/978-3-642-48895-5
isbn_softcover978-3-540-07798-5
isbn_ebook978-3-642-48895-5Series ISSN 0075-8442 Series E-ISSN 2196-9957
issn_series 0075-8442
copyrightSpringer-Verlag Berlin Heidelberg 1976
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On Invariants, Canonical Forms and Moduli for Linear, Constant, Finite Dimensional, Dynamical System, G an n × m matrix, and H an p × n matrix; i.e. there are m inputs, p outputs and the state space dimension is n. The dynamical system itself is . or, if one prefers discrete time systems . A change of coordinates in state space changes the triple of matrices (F,G,H) into the triple (SFS., SG, HS.)
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System Invariants under Feedback and Cascade Controlo the study is the fact that the set of all transfer functions with denominators in a prescribed set S, is a principal ideal domain ℝ. (§1). This observation enables us to immediately conclude that the orbit of a ℝ. -transfer matrix H under a suitably defined group of transformations corresponding t
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Linear Difference Systems on Partially Ordered Sets A subring of the incidence algebra of the time set acts on the state-module, and the resulting input and output functors lead to a realization theory for time-varying difference equations. The resulting canonical realizations can be computed explicitly and generalize the classical theory of weighti
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A Formal Power Series Approach to Canonical Realization of Bilinear Input-Output Maps shown that for bilinear i/o mans characterized by realizable series the set of Nerode states (or canonical states) can be embedded in a finite dimensional vector snace. The dynamics of the state is then described by recursive equations of “bilinear structure”.
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High Order Algebraic Conditions for Controllabilitydmissible control is a Lebesgue measurable function u with components |u.(t)| ≤ 1. a(t,p, ϑ) will denote the set of all points attainable at time t ≥ 0 by solutions of ϑ corresponding to all admissible controls; T. (•)p will denote the solution of ϑ corresponding to u = 0 . Our problem is to determi
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