On the estimation of the real stability radius 1

Autor:	Alexander V. Bulatov, S. K. Korovin, Phil Diamond, Nikolai A. Bobylev, Stanislav V. Emelyanov
Rok vydání:	1999
Předmět:	State-transition matrix Stability radius Mathematical analysis MathematicsofComputing_NUMERICALANALYSIS Matrix norm Polyphase matrix Eigenvalue algorithm Operator norm Eigenvalues and eigenvectors Gramian matrix Mathematics
Zdroj:	IFAC Proceedings Volumes. 32:3243-3247
ISSN:	1474-6670
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_________::c5750d69ae029ec57124f34618b238fa https://doi.org/10.1016/s1474-6670(17)56553-2 Zobrazit plný text záznamu