Analysis of Positive Descriptor Systems

Name: Analysis of Positive Descriptor Systems
Brand: VDM Verlag Dr. Mueller E.K.
SKU: 9783639060584
Price: 258.58 PLN
Availability: InStock

Topics in Systems and Control Theory

Autor: Elena Virnik

Język:

Oprawa: Miękka

Wydawca: VDM Verlag Dr. Mueller E.K.

Dostępność: Dostępna u dostawcy

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258.58 zł

Positive systems arise naturally in many areas of biology or medicine, where the variables represent...

Informacje o książce

Autor

Elena Virnik

Język

Angielski

Oprawa

Książka - Miękka

Data wydania

2008

strony

152

EAN

9783639060584

ISBN

363906058X

Enbook ID

06815457

Wydawca

VDM Verlag Dr. Mueller E.K.

Waga

213

Wymiary

152 x 229 x 8

Pełny opis

Positive systems arise naturally in many areas of biology or medicine, where the variables represent nonnegative quantities such as concentrations or population numbers of bacteria or cells. One encounters such systems also in economy, where the aim is to predict prices or productions. §With this work we aim to lay the theoretical foundation for understanding positive descriptor systems in the continuous-time and in the discrete-time case. We present a cohesive framework that allows to generalise many results for standard positive systems to the descriptor case. §We define and characterise positive descriptor systems and analyse their properties. We establish two fundamental results, pertinent to the area of nonnegative matrix theory, that play a crucial role in the analysis of such systems. Furthermore, we treat central topics from systems and control theory, such as stability properties, existence of doubly nonnegative solutions of generalised Lyapunov equations and positivity preserving model reduction. The present work is directed at students or professionals seeking an introduction into the field of positive descriptor systems or aiming to conduct further research in this area.

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Analysis of Positive Descriptor Systems

Topics in Systems and Control Theory

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