Analysis and synthesis of positive systems under ℓ1 and L1 performance. ([2016])
- Record Type:
- Book
- Title:
- Analysis and synthesis of positive systems under ℓ1 and L1 performance. ([2016])
- Main Title:
- Analysis and synthesis of positive systems under ℓ1 and L1 performance
- Further Information:
- Note: Xiaoming Chen.
- Authors:
- Chen, Xiaoming
- 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 Design. 3.5 Numerical Examples3.6 Summary; References; 4 Positive State-Bounding Observer for Interval Positive Systems; 4.1 Problem Formulation; 4.2 Observer Design for Positive Systems; 4.3 Numerical Example; 4.4 Summary; Reference; 5 Positive Filtering for Positive Systems Under L1 Performance; 5.1Supervisor'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 Design. 3.5 Numerical Examples3.6 Summary; References; 4 Positive State-Bounding Observer for Interval Positive Systems; 4.1 Problem Formulation; 4.2 Observer Design for Positive Systems; 4.3 Numerical Example; 4.4 Summary; Reference; 5 Positive Filtering for Positive Systems Under L1 Performance; 5.1 Problem Formulation; 5.2 Filter Design for Positive Systems; 5.3 Numerical Example; 5.4 Summary; Reference; 6 Controller and Filter Syntheses for Positive Takagi -- Sugeno Fuzzy Systems Under ell1 Performance; 6.1 Performance Analysis; 6.2 Controller Synthesis for Positive Fuzzy Systems. 6.3 Filter Synthesis for Positive Fuzzy Systems6.4 Numerical Examples; 6.5 Summary; References; 7 Conclusions and Future Work; 7.1 Conclusions; 7.2 Future Work; Reference. … (more)
- Publisher Details:
- Singapore : Springer
- Publication Date:
- 2016
- Copyright Date:
- 2017
- Extent:
- 1 online resource (xix, 116 pages), color illustrations
- Subjects:
- 512.9/4
Positive systems
MATHEMATICS -- Algebra -- Intermediate
Positive systems
Electronic books - Languages:
- English
- ISBNs:
- 9789811022272
9811022275 - Related ISBNs:
- 9789811022265
- Notes:
- Note: Includes bibliographical references.
Note: Online resource; title from PDF title page (SpringerLink, viewed August 4, 2016). - Access Rights:
- Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
- Access Usage:
- Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.
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- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD.DS.405412
- Ingest File:
- 02_474.xml