Analysis and synthesis of positive systems under ℓ1 and L1 performance

Analysis and synthesis of positive systems under ℓ1 and L1 performance

by Chen, Xiaoming

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Title Statements

  • Full title :Analysis and synthesis of positive systems under ℓ1 and L1 performance / Xiaoming Chen.

Edition Statements

  • Publication Date:©2017

Publication Statements

  • Publisher(s):Springer
  • Place of Publication:Singapore
  • Language:eng
  • Publication Date:©2017

Notes

"Doctoral thesis accepted by The University of Hong Kong, Hong Kong."

The Physical Object

  • Description:1 online resource (xix, 116 pages) : : color illustrations.

Edition Identifiers

  • ISBN:9789811022272, 9811022275
  • oclc:on1156765663
  • LC Classification:QA188
  • Dewey Decimal:512.9/4

Table of Contents

Supervisor's Foreword; Parts of this thesis have been published in the following articles:; Acknowledgments; Contents; Acronyms; Symbols; List of Figures; 1 Introduction; 1.1 Background; 1.2 Research Problems; 1.3 Literature Review; 1.3.1 Positive Systems; 1.3.2 Fuzzy Positive Systems; 1.4 Mathematical Preliminaries; 1.4.1 Definitions and Lemmas on Positive Linear Systems; 1.4.2 Definitions on Fuzzy Positive Systems; 1.4.3 ell1 and L1 Performance; 1.5 Thesis Outline; 1.6 Contributions; References; 2 ell1-Induced Controller Design for Positive Systems; 2.1 Problem Formulation and Preliminaries.

2.2 Performance Analysis2.2.1 Exact Computation of ell1-Induced Norm; 2.2.2 Novel ell1-Induced Performance Characterization; 2.3 Controller Synthesis and Algorithm; 2.4 Analytical Method for Special Case; 2.5 Numerical Example; 2.6 Summary; References; 3 L1-Induced Output-Feedback Controller Synthesis for Interval Positive Systems; 3.1 Performance Analysis; 3.2 Static Output-Feedback Controller Design; 3.3 Special Case: C=I; 3.3.1 Controller Synthesis for SIMO Systems; 3.3.2 Controller Synthesis for MIMO Systems; 3.3.3 Sparse Controller Synthesis; 3.4 Dynamic Output-Feedback Controller Desi…

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