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Design of asymptotic stability of linear systems in the case of k zero roots

โœ Scribed by A. G. Gabelaya; V. I. Ivanenko; O. N. Odarich


Publisher
Springer US
Year
1976
Tongue
English
Weight
465 KB
Volume
11
Category
Article
ISSN
1573-8337

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Strong Asymptotic Stability of Linear Dy
โœ F. Huang ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 583 KB

In this paper we investigate the strong asymptotic stability of linear dynamical systems in Banach spaces. Let \(\alpha\) be the infinitesimal generator of a \(C_{0}\)-semigroup \(e^{t i f f}\) of bounded linear operators in a Banach space \(X\). We first show that if \(e^{t . \alpha}\) is a \(C_{0}