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.

中文翻译：

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密度系统：分析与控制

摘要

本文考虑一类称为密度系统的系统。对于此类系统，二次函数的导数取决于某种称为密度函数的函数。后一个函数用于定义影响所考虑系统行为的空间属性。显示了密度系统在控制律设计中的作用。控制系统是为具有已知和未知参数的工厂构建的。通过数值模拟说明了理论结果。