Robust stability of positive linear systems in Banach spaces
โ Scribed by Anh, Bui The; Son, Nguyen Khoa
- Book ID
- 120227598
- Publisher
- Taylor and Francis Group
- Year
- 2010
- Tongue
- English
- Weight
- 181 KB
- Volume
- 16
- Category
- Article
- ISSN
- 1023-6198
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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}
Feedback stabilizability is studied for linear retarded systems in Banach spaces. Under the assumptions that the control is finite dimensional and the corresponding instantaneous free system generates a compact semigroup, the rank condition for exponential stabilizability is established based on the
The problem of controllability of linear systems in Banach spaces is considered. First, some properties of dual semigroups with respect to Lebesgue measure is presented. Then, based on the properties, the criteria for controllability in re exive Banach spaces are extended to general Banach spaces an