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 c0 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.
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