Erschienen: 15.07.2016 Abbildung von Zeng | Ensemble Observability of Dynamical Systems | 2016

Zeng

Ensemble Observability of Dynamical Systems

lieferbar, ca. 10 Tage

2016. Buch. 99 S. Softcover

Logos. ISBN 978-3-8325-4280-1

Format (B x L): 14,5 x 21 cm

In englischer Sprache

Produktbeschreibung

In this thesis, we introduce the concept of ensemble observability of dynamical systems and develop a theoretical framework in which this system property is characterized. An ensemble is a collection of nearly identical copies of one dynamical system, and it is said to be observable if the distribution of the nonidentical initial states can be reconstructed from observing the time evolution of a corresponding distribution of outputs. Similarly, a single dynamical system with output is said to be ensemble observable if a collection of copies of this system, with different initial states, is observable when considered as an ensemble.

The consideration of ensemble observability is, in particular, motivated by recent efforts in the study of heterogeneous cell populations. Therein one aims to reconstruct a distribution of states within a population of cells, but is only given the time evolution of the distribution of certain measured quantities within the population. More generally, the motivation for introducing ensemble observability is rooted in the very concept of ensembles itself, in which a collection of individual systems may only be considered as a whole. A main result of this thesis illustrates a fundamental connection between the concept of ensemble observability and mathematical tomography problems. Another main result concerns a natural connection to polynomial systems, which we encounter in the course of a systems theoretic treatment of the ensemble observability problem through the consideration of moments of the distributions. We also establish a duality of both approaches for linear systems.

Gesamtwerk

Die 8. Auflage ist wieder auf sechs Bände angelegt. Darin finden sich übersichtlich und in systematischer Gliederung Vertragsmuster aus der Feder erfahrener Experten. Jedem dieser Muster folgen Anmerkungen, mit denen der dem Vertragsentwurf zu Grunde liegende Sachverhalt und die Gründe für die Wahl des spezifischen Formulars erläutert werden.

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