State Feedback Control of Multiagent Singular Linear Systems Representing Brain Neural Networks

Autor: Maria İsabel Garcia-planas

Publikováno v: Universal Journal of Mathematics and Applications, Vol 7, Iss 4, Pp 192-200 (2024)

A multi-agent singular system is an extension of a traditional multi-agent system. The behavior of neural networks within the brain is crucial for cognitive functions, making it essential to understand the learning processes and the development of po

Externí odkaz: https://doaj.org/article/e42aef7f108d409e8d40dfc9b32d14fb

$D$-Stratification and Hierarchy Graphs of the Space of Order 2 and 3 Matrix Pencils

Autor: Maria İsabel Garcia-planas, Maria Dolors Magret

Publikováno v: Universal Journal of Mathematics and Applications, Vol 2, Iss 1, Pp 14-23 (2019)

Small changes in the entries of a matrix pencil may lead to important changes in its Kronecker normal form. Studies about the effect of small perturbations have been made when considering the stratification associated with the strict equivalence betw

Externí odkaz: https://doaj.org/article/bb034b010f4d4b82beaf608543625e2e

On Simultaneously and Approximately Simultaneously Diagonalizable $m$-tuples of Matrices

Autor: Maria Isabel Garcia-Planas

Publikováno v: Volume: 2, Issue: 1 50-55
Fundamental Journal of Mathematics and Applications
Recercat. Dipósit de la Recerca de Catalunya
instname
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)

In this paper, the problem of simultaneous diagonalization of $m$-tuples of $n$-order square complex matrices, is analyzed and some necessary and some necessary and sufficient conditions for this property to be fulfilled are presented. This study has

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9fe5cb91fd3996c6d6221cd441057586
https://dergipark.org.tr/tr/pub/fujma/issue/45834/545064

Reduction to Versal Deformations of Matrix Pencils and Matrix Pairs with Application to Control Theory

Autor: Alexei A. Mailybaev, Maria Isabel Garcia-Planas

Publikováno v: UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
Recercat. Dipósit de la Recerca de Catalunya
instname

Matrix pencils under the strict equivalence and matrix pairs under the state feedback equivalence are considered. It is known that a matrix pencil (or a matrix pair) smoothly dependent on parameters can be reduced locally to a special typically more

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::257407309bd067c0b8c884915bf7a80e
https://doi.org/10.1137/s0895479801392016

Kronecker stratification of the space of quadruples of matrices

Autor: Maria Isabel Garcia-Planas

Publikováno v: Scopus-Elsevier

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::adaa9cb879fa7ba7cb440e75fc2719c6
http://www.scopus.com/inward/record.url?eid=2-s2.0-0041179235&partnerID=MN8TOARS