On eigenvectors of convex processes in non-pointed cones

Autor:	Jaap Eising, M. Kanat Camlibel
Přispěvatelé:	Systems, Control and Applied Analysis
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	Discrete dynamical inclusions Eigenvalue analysis Convex process Optimization and Control (math.OC) Applied Mathematics FOS: Mathematics Mathematics - Optimization and Control Analysis
Zdroj:	Journal of Mathematical Analysis and Applications, 513(2):126236. ACADEMIC PRESS INC ELSEVIER SCIENCE
ISSN:	0022-247X
Popis:	Spectral analysis of convex processes has led to many results in the analysis of differential inclusions with a convex process. In particular the characterization of eigenvalues with eigenvectors in a given cone has led to results on controllability and stabilizability. However, these characterizations can handle only pointed cones. This paper will generalize all known results characterizing eigenvalues of convex processes with eigenvectors in a given cone. In addition, we reveal the link between the assumptions on our main theorem and classical geometric control theory.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8b09e683bba79f697d22f8f7527dfb91 https://hdl.handle.net/11370/a5217392-1603-4bd3-988b-de54595d0c0e Zobrazit plný text záznamu Full Text from ScienceDirect