Synergetics of Measurement, Prediction and Control by Professor Dr. Igor Grabec, Professor Dr. Wolfgang Sachse

By Professor Dr. Igor Grabec, Professor Dr. Wolfgang Sachse (auth.)

The digital processing of knowledge allows the development of clever platforms able to undertaking a synergy of self reliant dimension, the modeling of ordinary legislation, the keep watch over of strategies, and the prediction or forecasting of a giant number of traditional phenomena. during this monograph, a statistical description of ordinary phenomena is used to improve a knowledge processing procedure in a position to modeling non-linear relationships among sensory facts. The process, in response to self-organized, optimum maintenance of empirical info, applies those relationships for prediction and adaptive control.
This monograph is written for college students, scientists and engineers in academia and who're drawn to experimental paintings concerning the adaptive modeling of normal legislation, the advance of sensory-neural networks, clever keep watch over, synergetics and informatics. No particular wisdom of complicated arithmetic is presupposed. Examples taken from physics, engineering, drugs and economics exhibit the applicability of such clever systems.

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The properties of a composition of units into elements of a scale are usually describable by a mathematical structure. The quantitative description of natural phenomena, and with it the associated physics, is thus from the very outset, intimately related to mathematics. The most important advantage of the application of mathematics and physics to the description of Nature stems not only from the reproducibility and accuracy of the quantitative treatment but also, and most importantly, from the formulation of natural laws which lead to an abstract analytical treatment of natural phenomena and the prediction of indirectly observable properties of these phenomena.

3. A scheme of a system capable of describing natural phenomena in which '8' denotes the sensors and 'A' the actuators Science is based on observing and describing natural phenomena. If one wishes to develop a system capable of automatic scientific work, one must include in it elements called sensors which are sensitive to particular influences from the environment. Also needed are elements, called actuators, which are capable of generating responses in their environment in order to generate a description of natural phenomena.

From the interaction and self-organized cooperation of simple motors, a cascade of increasingly complex dynamical structures, resembling primitive organisms, then evolve. The evolution of living organisms is thus explained as a fundamental dynamical property of an inhomogeneous and unstable environment. According to this view, biological evolution in Nature consists of a sequence of collective or self-organized transitions occurring at various levels of complexity of synergetic dynamical chemical systems.

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