AUTHORS: Ivan V. Kazachkov
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ABSTRACT: Mathematical modeling and analysis is presented for revealing and investigation of the critical phenomena in a development of complex systems for various natures, the living and the technical ones associated with diverse complicated factors, in particular with a presence of shifted arguments of the system. Intensive research in this direction and developed techniques may optimize the management of the complex systems in financial-economic, natural and other fields. Construction of adequate physical and mathematical models for development of complex systems with shifted arguments, critical modes and their effective control are important tasks for a wide range of contemporary issues. Critical levels in the development of economic, banking, industry, technical, political and other systems necessary to determine and anticipate, to manage their system requirements stable development of the system, without being hit in a critical situation, leading to growing oscillations of system settings.
KEYWORDS: Critical Levels, Optimal Control, Stability, Modeling
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