Information Path Functional & Informational Macrodynamics
Nova Science Publishers Inc (Verlag)
9781607411390 (ISBN)
The book subject is mathematical formalism, describing the creation of the dynamic and information regularities from stochastics. The formalism is based on the introduction of an informational path functional, defined on trajectories of a controlled random process, and the solution of variation problem for this novel functional. The solution provides both the information dynamic model of a random process and the model of optimal control. This allows building a two-level information model with a random process at the microlevel and a dynamic process at macrolevel. Considering a variation principle (VP) as a mathematical form that expresses some regularity, it is assumed that the VP extremals, represented by the solutions of the above dynamic model, describe a movement possessing these regularities. Such an approach has been used by R. P. Feynman, who introduced the functional on trajectories of an electron's movement and applied the variation principle for this path functional to obtain the equations of quantum mechanics. Feynman's path functional is defined on the dynamic trajectories and has not been applied to trajectories of a random process.
Preface; Introduction; The initial mathematical models; Dynamic approximation of a random information functional and the path functional; Variation problem for the information path functional and its solution; The IMD information space distributed macromodels; The cooperative information macromodels and information network ; The IMD models peculiarities and information code; The macrodynamic (MC) and cooperative ( )complexities; The regularities of evolutionary dynamics and the information law of evolution; The physical analogies related to the information path functional; Solution of the control problems for a complex object; The information modeling of some biological and cognitive processes; Information modeling and control of some industrial technology processes with complex superimposing phenomena; An elementary information macrodynamic model of a market economic system; An outline of the computer based methodology; Conclusion; Index.
| Erscheint lt. Verlag | 1.12.2009 |
|---|---|
| Zusatzinfo | Illustrations |
| Verlagsort | New York |
| Sprache | englisch |
| Maße | 260 x 180 mm |
| Gewicht | 1060 g |
| Themenwelt | Informatik ► Theorie / Studium ► Künstliche Intelligenz / Robotik |
| Mathematik / Informatik ► Mathematik | |
| ISBN-13 | 9781607411390 / 9781607411390 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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