Автоматизація керування імпульсними процесами в когнітивних картах з придушенням обмежених збурень на основі методу інваріантних еліпсоїдів

An application of the invariant ellipsoids method to suppress constrained disturbances by means of the incomplete control of dynamic processes in complex systems of different nature, represented by mathematical models of impulse processes in cognitive maps (CM), is investigated. When developing the...

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Bibliographic Details
Date:2017
Main Authors: Romanenko, Victor D., Milyavsky, Yuriy L.
Format: Article
Language:Russian
Published: The National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute" 2017
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Online Access:http://journal.iasa.kpi.ua/article/view/108735
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Journal Title:System research and information technologies

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System research and information technologies
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Summary:An application of the invariant ellipsoids method to suppress constrained disturbances by means of the incomplete control of dynamic processes in complex systems of different nature, represented by mathematical models of impulse processes in cognitive maps (CM), is investigated. When developing the algorithm for suppressing constrained disturbances, linear matrix inequalities are applied. The dynamics model of CM impulse processes is split into two interrelated systems of difference equations with measurable and unmeasurable coordinates of CM vertices, respectively. Changes in unmeasurable coordinates are considered as constrained disturbances in the first system of equations for CM impulse processes with measurable coordinates.