Invariant cones and stability of linear dynamical systems

Autor:	A. M. Aliluiko, O. H. Mazko
Rok vydání:	2006
Předmět:	Linear differential equation Linearization General Mathematics Stability theory Linear system Mathematical analysis System of linear equations Coefficient matrix Mathematics Linear dynamical system Linear stability
Zdroj:	Ukrainian Mathematical Journal. 58:1635-1655
ISSN:	1573-9376 0041-5995
DOI:	10.1007/s11253-006-0159-5
Popis:	We present a method for the investigation of the stability and positivity of systems of linear differential equations of arbitrary order. Conditions for the invariance of classes of cones of circular and ellipsoidal types are established. We propose algebraic conditions for the exponential stability of linear positive systems based on the notion of maximal eigenpairs of a matrix polynomial.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::0a028ded216019b324570417659b0dfd https://doi.org/10.1007/s11253-006-0159-5 Zobrazit plný text záznamu Plný text ve formátu PDF