Robust stability of linear systems

Autor:	Alexander V. Bulatov, Nikolai A. Bobylev, Stanislav V. Emelyanov, S. K. Korovin
Rok vydání:	2000
Předmět:	State-transition matrix Stability radius Control theory Matrix function MathematicsofComputing_NUMERICALANALYSIS Matrix norm Applied mathematics Polyphase matrix Eigenvalue algorithm Operator norm Eigenvalues and eigenvectors Mathematics
Zdroj:	IFAC Proceedings Volumes. 33:33-35
ISSN:	1474-6670
DOI:	10.1016/s1474-6670(17)38021-7
Popis:	Computationally efficient estimates for the real stability radius of a system matrix are developed for continuous and discrete time systems. The Frobenius norm is used instead of the operator norm and the estimates involve only the stability reserve of the system matrix and the eigenvalues of the Gram matrix of real and imaginary parts of the eigenvectors of the system matrix. A version of the estimate for a class of infinite dimensional systems is presented.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::ee7fa8d7968f934c0550ab03a60e3f74 https://doi.org/10.1016/s1474-6670(17)38021-7 Zobrazit plný text záznamu