Stability of infinite-dimensional sampled-data systems

Stability of Infinite-dimensional Sampled-data Systems

Suppose that a static-state feedback stabilizes a continuous-time linear infinite-dimensional control system. We consider the following question: if we construct a sampled-data controller by applying an idealized sample-andhold process to a continuous-time stabilizing feedback, will this sampled-data controller stabilize the system for all sufficiently small sampling times? Here the state space...

Stability of In nite-Dimensional Sampled-Data Systems

Structural Properties of Multirate Sampled-Data Systems

The application of Networked Control Systems (NCS) in which sensory and control signals are transmitted via shared data communication networks, is growing significantly and these systems have been the subject of research during the last decade. On the other hand, multirate sampled data systems have been investigated since a long time. In this paper, conditions under which a networked control sy...

Stability radii of infinite-dimensional positive systems

We show that for innnite-dimensional discrete-time positive systems the complex and real stability radius coincide. Furthermore, we provide a simple formula for the complex stability radius of positive systems by the associated transfer function. We illustrate our results with an example dealing with a simple type of diierential-diierence equations. 1. Introductory remarks This work is motivate...

Stability of linear infinite dimensional systems revisited

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