Naslov
Optimal Ellipsoid Approximations in Control Theory

Autori
Ivanković, Božidar ; Sikirica, Nenad ; Spudić, Robert

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Izvornik
Proceedings of the Symmetry 2021 - The 3rd International Conference on Symmetry, 8–13 August 2021, MDPI: Basel, Switzerland / Cohen, Miriam - Basel, Switzerland : MDPI Books, 2021, 9-9

Skup
The 3rd International Conference on Symmetry (Symmetry 2021)

Mjesto i datum
Online, 08.08.2021. - 13.08.2022

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
control theory ; minmal volume ellipsoid ; symmetric matrix ; linear matrix inequalities

Sažetak
Minimum volume ellipsoids containing a given set arise often in control theory observed as a problem that solves differential equation with inputs and outputs. The problem is described by a linear differential inclusions. An ellipsoid is given by a symmetric, positive definite matrix. If a linear differential inclusion is given, then sufficient condition for the system stability is to find a positive definite symmetric matrix such that the quadratic function is decreasesing along every nonzero state trajectory. Specific linear differential inclusions are described, such as the linear time-invariant, Polytopic, norm-bound with additional output that affects the additional input in bounded measure or diagonal norm-bound bounds of input and output functions are given by components. In our work we interpreted stability conditions of above systems in terms of ellipsoid that is invariant to a solution of a differential inclusions.

Izvorni jezik
Engleski

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