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Titlebook: Recent Developments in Variable Structure Systems, Economics and Biology; Proceedings of US-It R. R. Mohler,A. Ruberti Conference proceedin

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书目名称Recent Developments in Variable Structure Systems, Economics and Biology
副标题Proceedings of US-It
编辑R. R. Mohler,A. Ruberti
视频video
丛书名称Lecture Notes in Economics and Mathematical Systems
图书封面Titlebook: Recent Developments in Variable Structure Systems, Economics and Biology; Proceedings of US-It R. R. Mohler,A. Ruberti Conference proceedin
描述The seminar for which the proceedings are published here evolved from a cooperative research program on bilinear systems and applications to immunology at the Oregon State University and at the University of Rome. The topics include more general forms of variable structure systems which may be divided into categories of mathematical system theory, economic applications and biological applications. Throughout the seminar there was emphasis on the integration of theory and app- cation. In most cases, theoretical derivations are motivated by their need to solve practical problems. In reading the proceedings, it becomes apparent that bilinear systems, quadratic systems and more general variable structure or adaptive systems become natural models in many cases and excellent approximations in others. It is seen that linear systems have very limited use particularly in economics and biology. Variable structure systems are analyzed in terms of structure,volterra kernels, system modelling, parameter identification,- controllability and Lie algebra to mention a few. Certainly, it ia nbt possible to present a complete tre- ment of these numerous topics, but at the Same time the unifying power
出版日期Conference proceedings 1978
关键词Innovation; Systemtheorie; biology; control theory; ecology; economics; evaluation; growth; linear optimizat
版次1
doihttps://doi.org/10.1007/978-3-642-45509-4
isbn_softcover978-3-540-09089-2
isbn_ebook978-3-642-45509-4Series ISSN 0075-8442 Series E-ISSN 2196-9957
issn_series 0075-8442
copyrightSpringer-Verlag Berlin Heidelberg 1978
The information of publication is updating

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https://doi.org/10.1007/978-3-642-45509-4Innovation; Systemtheorie; biology; control theory; ecology; economics; evaluation; growth; linear optimizat
发表于 2025-3-22 00:32:59 | 显示全部楼层
Stability Problems in 2-D Systems,A 2-D system is defined by the following set of equations [1,2]: . where u(h,k), the input value at (h,k), and y(h,k), the output value at (h,k), are in ℝ and h,k ∈ ℤ. The vector x ∈ X =ℝ. is called the local state space and A.∈ ℤ., B.∈ ℤ., C∈ ℤ., i = 1,2.
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On Mathusian Models of Migration and Population Growth,By separating the migrant community from the natural population a multi-regional migration model of the mathusian type is developed for human populations. Closed form solutions for the proposed model are obtained using a quotient or per capita argument and some remarks pertaining to the population behavior in Italy are provided.
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Minimal Realizations of Linear and Affine Time-Varying Systems,The problem of finding a minimal realization, starting from a non minimal one, is faced both for linear and affine time-varying systems. In section two the minimal state space is found and its properties are given; in section three the reduction procedure is performed and the minimality result is proved.
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Genericity and Singularities in Vector Optimization,Let C. be the set of smooth maps u from X to Y, where X and Y are open smooth manifolds of dimension n and m respectively (for our purposes we shall take Y = R.). Let Λ be an open convex cone in R. with non empty interior, . its closure, ∂Λ its boundary.
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A Topological Space of Systems and a Dense Subset,iving a procedure to assign a topology to the space of systems in question. It is then illustrated the meaning of the property for a subset of being dense in the ensuing topological space. The dense subset we exhibit in the final part of the paper is very attractive in view of the particularly strong properties of its members.
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