منابع مشابه
Modern Control Theory
Originally this word “cybernetics” came from the Ancient Greece, and it meant “the art of steersman”. Cybernetics is the “old-fashion” term for what is now called as the general system’s theory, or the system science. We can admit that cybernetics was born in 1948, when the book with the same title has been written by the famous American mathematician Norbert Wiener (1894-1964) [1]. The diction...
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The purpose of this paper is to present a brief sketch of the evolution of modern control theory. Systems theory witnessed different stages and approaches, which will be very shortly presented. The main idea is that, at present, Control Theory is an interdisciplinary area of research where many mathematical concepts and methods work together to produce an impressive body of important applied ma...
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The purpose of this paper is to show that modern control theory, both in the form of the “classical” ideas developed in the 1950s and 1960s, and in that of later, more recent methods such as the “nonsmooth,” “very nonsmooth” and “differentialgeometric” approaches, provides the best and mathematically most natural setting to do justice to Johann Bernoulli’s famous 1696 “brachistochrone problem.”...
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The geometric approach is a mathematical concept developed to improve the analysis and synthesis of linear multivariable systems. In this article we summarized the foundations for the geometric approach to both linear and singular systems. A mathematical introduction to the controlled and conditioned invariant subspaces has been presented. Additional characteristic subspaces were introduced, su...
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Secure and reliable operation of complex interactive power networks poses significant theoretical and practical challenges in analysis, modeling, simulation, prediction, control, and optimization. In addition, mathematical models of such interactive systems are typically vague (or may not even exist); moreover, existing and classical methods of solution are either unavailable, or are not suffic...
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ژورنال
عنوان ژورنال: The Computer Journal
سال: 1966
ISSN: 0010-4620,1460-2067
DOI: 10.1093/comjnl/8.4.322