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Density Systems: Analysis and Control

  • NONLINEAR SYSTEMS
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Abstract

This paper considers a class of systems called density systems. For such systems, the derivative of a quadratic function depends on some function termed the density function. The latter function is used to define the properties of the space affecting the behavior of the systems under consideration. The role of density systems in control law design is shown. Control systems are constructed for plants with known and unknown parameters. The theoretical results are illustrated by numerical simulation.

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Funding

This work was performed in the Institute for Problems in Mechanical Engineering, the Russian Academy of Sciences, under the support of state order no. 121112500298-6 (The Unified State Information System for Recording Research, Development, Design, and Technological Work for Civilian Purposes).

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  1. Institute for Problems in Mechanical Engineering, Russian Academy of Sciences, St. Petersburg, Russia

    I. B. Furtat

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  1. I. B. Furtat
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Correspondence to I. B. Furtat.

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This paper was recommended for publication by A.M. Krasnosel’skii, a member of the Editorial Board

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Furtat, I.B. Density Systems: Analysis and Control. Autom Remote Control 84, 1175–1190 (2023). https://doi.org/10.1134/S0005117923110024

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  • DOI: https://doi.org/10.1134/S0005117923110024

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