Open AccessLinear quadratic problems (On “linear” approaches in nonlinear system theory)
Author(s) -
Vladimir Răsvan
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1864/1/012003
Subject(s) - nonlinear system , laplace transform , linear system , quadratic equation , frequency domain , mathematics , fourier transform , mathematical analysis , physics , geometry , quantum mechanics
The term “linear quadratic problem” refers to the problems of dynamics where linear controlled systems are associated with a certain quadratic functional of performance. “Linear” approaches are the approaches that are usually applied to linear systems, e.g. the methods of the integral transforms (Laplace, Fourier), the linear functional analysis and the frequency domain methods. The paper considers some cases where these approaches are applied to nonlinear systems.