Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



The synthesis of dynamical systems

Author: R. W. Brockett
Journal: Quart. Appl. Math. 30 (1972), 41-50
DOI: https://doi.org/10.1090/qam/99741
MathSciNet review: QAM99741
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Abstract: A significant part of contemporary applied mathematics is concerned directly with communication, control and computation. In these fields many of the central problems involve the synthesis of algorithms, or dynamical systems, as opposed to the analysis of dynamical systems which predominates in mathematical physics. Arithmetic and numerical algorithms, finite-state machines and electrical filters are examples of the types of dynamical systems which are frequently needed to operate on data, in continuous or discrete form, and to produce data on a compatible time scale. In this paper we discuss the scope and success of some of the synthesis procedures currently available to treat these problems.

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DOI: https://doi.org/10.1090/qam/99741
Article copyright: © Copyright 1972 American Mathematical Society

American Mathematical Society