Stabilizability of nonlinear infinite dimensional switched systems by measures of noncompactness in the space c0. (August 2017)

• Record Type: Journal Article
• Authors: Zawiski, Radosław
• Is Part Of: Nonlinear analysis. Volume 25(2017)
• Page Start: 79
• Page End: 89
• Publication Date: 2017-08
• Subjects: Switched systems -- Nonlinear infinite dimensional dynamical system -- Measure of noncompactness -- Sequence spaces; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2017.03.004
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: This article studies the problem of stabilizability of nonlinear infinite dimensional switched systems. The switching rule is arbitrary and takes place between a countably infinite number of subsystems, each of which is represented by a differential equation in some Banach space. Using a topological notion of a (locally finite) cover and the Hausdorff measure of noncompactness in the c 0 space, we show how the problem of approximate stabilizability of switched systems can be cast into a sequential framework and dealt with. Examples of application are given.