Modern Control Theory and Computing

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...

Modern Control Theory

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...

The Brachistochrone Problem and Modern Control Theory

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.”...

Quantum Computing and Optimal Control Theory

Applying Control Theory to Computing Systems

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