An approach to robust stability of matrix polytopes through copositive homogeneous polynomials

Autor:	C.L. Demarco, R.X. Qian
Rok vydání:	1992
Předmět:	Polynomial Polytope Polynomial matrix Computer Science Applications Matrix polynomial Combinatorics Matrix (mathematics) Control and Systems Engineering Stable polynomial Homogeneous polynomial Applied mathematics Elementary symmetric polynomial Electrical and Electronic Engineering Mathematics
Zdroj:	IEEE Transactions on Automatic Control. 37:848-852
ISSN:	0018-9286
DOI:	10.1109/9.256360
Popis:	An approach to guaranteeing the stability of a polytope of matrices is proposed. Previous results in the literature have made the obvious connection between various robust stability problems and a test for positivity of a multivariable polynomial. Such results are extended in order to demonstrate that all matrices within a polytope are stable is and only if an associated homogeneous polynomial is strictly copositive. The additional structure obtained by exploiting homogeneity of this multivariable polynomial leads to several computationally tractable sufficiency tests for establishing either robust stability or instability of a polytope of matrices. >
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::4865f18ea19a36bb1c89e540738a8b15 https://doi.org/10.1109/9.256360 Zobrazit plný text záznamu