Optimal Ellipsoid Approximations in Control Theory (CROSBI ID 706001)
Prilog sa skupa u časopisu | sažetak izlaganja sa skupa | međunarodna recenzija
Podaci o odgovornosti
Ivanković, Božidar ; Sikirica, Nenad ; Spudić, Robert
engleski
Optimal Ellipsoid Approximations in Control Theory
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.
control theory ; minmal volume ellipsoid ; symmetric matrix ; linear matrix inequalities
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Podaci o prilogu
9-9.
2021.
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objavljeno
10.3390/Symmetry2021-10748
Podaci o matičnoj publikaciji
Symmetry (Basel)
Cohen, Miriam
Basel: MDPI Books
2073-8994
Podaci o skupu
The 3rd International Conference on Symmetry (Symmetry 2021)
predavanje
08.08.2021-13.08.2022
online