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Positive Systems

Theory and Applications (POSTA 2018)

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  • © 2019

Overview

Editors:
  1. James Lam

    1. Department of Mechanical Engineering, University of Hong Kong, Hong Kong, Hong Kong

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  2. Yun Chen

    1. Hangzhou Dianzi University, Hangzhou, China

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  3. Xingwen Liu

    1. Southwest Minzu University, Chengdu, China

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  4. Xudong Zhao

    1. Dalian University of Technology, Dalian, China

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  5. Junfeng Zhang

    1. Hangzhou Dianzi University, Hangzhou, China

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  • Presents novel and innovative contributions on positive systems
  • Offers valuable insights for researchers in applied mathematics, control engineering and statistics
  • Gathers selected contributions from the 6th Conference on Positive Systems, held in Hangzhou, China, August 25–27, 2018

Part of the book series: Lecture Notes in Control and Information Sciences (LNCIS, volume 480)

Included in the following conference series:

Conference proceedings info: POSTA 2018.

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Table of contents (26 chapters)

  1. Front Matter

    Pages i-xv
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  2. Positive Switched Systems

    1. Front Matter

      Pages 1-1
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    2. Stability of Discrete-time Switched Positive Linear Systems with Mode-dependent Average Dwell Time

      • Li-Juan Liu, Xudong Zhao, Xi-Ming Sun
      Pages 3-10

    3. Novel Approaches to Stability and Stabilization of Positive Switched Systems with Unstable Subsystems

      • Yue Wang, Hongwei Wang, Jie Lian
      Pages 11-25

    4. On the Common Linear Copositive Lyapunov Functions for Compartmental Switched Systems

      • Maria Elena Valcher
      Pages 27-36

    5. Robust Stabilization for Constrained Switched Positive Linear Systems via Output-Feedback

      • Jinjin Liu, Shanen Yu, Zhiqiang Li, Ting Zhang
      Pages 37-50

    6. Stability Analysis of Discrete-Time Switching Positive System with Delays: Homogeneous Polynomial Copositive Lyapunov Function Method

      • Shuai Li, Duyu Liu
      Pages 51-59

    7. \(\mathcal {S}\)-Procedure for Positive Switched Linear Systems and its Equivalence to Lyapunov–Metzler Inequalities

      • Junfeng Zhang, Tarek Raïssi
      Pages 61-71

    8. Finite Time Interval Observer Design for Discrete-Time Switched Systems

      • Jun Huang, Shanen Yu, Xiang Ma, Liang Chen
      Pages 73-82

  3. Stochastic Positive Systems

    1. Front Matter

      Pages 83-83
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    2. Positivity and Stability of Continuous-Time Stochastic Linear Systems

      • Jinling Liang, Ying Jin
      Pages 85-96

    3. Asynchronous Control for Positive Discrete-Time Markovian Jump Systems

      • Hui Shang, Wenhai Qi, Guangdeng Zong
      Pages 97-108

    4. Non-fragile Control for Positive Markov Jump Systems with Actuator Saturation

      • Shicheng Li, Junfeng Zhang, Yun Chen, Xianglei Jia
      Pages 109-125

    5. Travel Behavior Analysis for Free-Floating Bike Sharing Systems Based on Markov-Chain Models

      • Wenjia Liang, Jianru Hao, Liguo Zhang
      Pages 127-145

    6. Positive \(L_{1}\) Controller Design for Positive Piecewise Homogeneous Markovian Jump Systems

      • Di Zhang, Qingling Zhang
      Pages 147-161

  4. Systems with Positivity

    1. Front Matter

      Pages 163-163
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    2. Stabilization Design for Uncertain Linear Positive Systems with Time-Delay

      • Yujie Zhao, Linling Liao, Xiushan Cai, Yanhong Liu
      Pages 165-177

    3. Stability Analysis of Discrete-Time Periodic Positive Systems with Delays

      • Tiantong Pu, Qinzhen Huang
      Pages 179-187

    4. Extension of Lossless Negative Imaginary Lemmas to Systems with Poles at the Origin

      • Junlin Xiong, Yongge Guo
      Pages 189-201

    5. SDA-RVM Based Approach for Surge Fault Detection and Diagnosis During Aero-Engine Take-Off Process

      • Ji-Bang Li, Shuo Zhang, Xiao-Yu Sun, Wei-Guo Xia
      Pages 203-213
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Keywords

About this book

This book presents high-quality original contributions on positive systems, including those with positivity in compartmental switched systems, Markovian jump systems, Boolean networks, interval observer design, fault detection, and delay systems. It comprises a selection of the best papers from POSTA 2018, the 6th International Conference on Positive Systems, which was held in Hangzhou, China, in August 2018. The POSTA conference series represents a targeted response to the growing need for research that reports on and critically discusses a wide range of topics concerning the theory and applications of positive systems. The book offers valuable insights for researchers in applied mathematics, control theory and their applications.

Editors and Affiliations

  • Department of Mechanical Engineering, University of Hong Kong, Hong Kong, Hong Kong

    James Lam

  • Hangzhou Dianzi University, Hangzhou, China

    Yun Chen, Junfeng Zhang

  • Southwest Minzu University, Chengdu, China

    Xingwen Liu

  • Dalian University of Technology, Dalian, China

    Xudong Zhao

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