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© 2017

Analysis and Synthesis of Positive Systems Under ℓ1 and L1 Performance

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Part of the Springer Theses book series (Springer Theses)

About this book

Introduction

This thesis introduces novel and significant results regarding the analysis and synthesis of positive systems, especially under l1 and L1 performance. It describes stability analysis, controller synthesis, and bounding positivity-preserving observer and filtering design for a variety of both discrete and continuous positive systems.

It subsequently derives computationally efficient solutions based on linear programming in terms of matrix inequalities, as well as a number of analytical solutions obtained for special cases. The thesis applies a range of novel approaches and fundamental techniques to the further study of positive systems, thus contributing significantly to the theory of positive systems, a “hot topic” in the field of control. 

Keywords

Positive Systems Robust Control Lyapunov Functions Controller Synthesis Performance Analysis

Authors and affiliations

  1. 1.College of Automation EngineeringNanjing University of Aeronautics and AstronauticsNanjingChina

Bibliographic information

  • Book Title Analysis and Synthesis of Positive Systems Under ℓ1 and L1 Performance
  • Authors Xiaoming Chen
  • Series Title Springer Theses
  • Series Abbreviated Title Springer Theses
  • DOI https://doi.org/10.1007/978-981-10-2227-2
  • Copyright Information Springer Science+Business Media Singapore 2017
  • Publisher Name Springer, Singapore
  • eBook Packages Engineering Engineering (R0)
  • Hardcover ISBN 978-981-10-2226-5
  • Softcover ISBN 978-981-10-9566-5
  • eBook ISBN 978-981-10-2227-2
  • Series ISSN 2190-5053
  • Series E-ISSN 2190-5061
  • Edition Number 1
  • Number of Pages XIX, 116
  • Number of Illustrations 0 b/w illustrations, 37 illustrations in colour
  • Topics Control and Systems Theory
    Mechanical Engineering
    Control Structures and Microprogramming
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