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E-grāmata: Positive Systems: Theory and Applications (POSTA 2018)

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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.

Part I Positive Switched Systems
1 Stability of Discrete-time Switched Positive Linear Systems with Mode-dependent Average Dwell Time
3(8)
Li-Juan Liu
Xudong Zhao
Xi-Ming Sun
2 Novel Approaches to Stability and Stabilization of Positive Switched Systems with Unstable Subsystems
11(16)
Yue Wang
Hongwei Wang
Jie Lian
3 On the Common Linear Copositive Lyapunov Functions for Compartmental Switched Systems
27(10)
Maria Elena Valcher
4 Robust Stabilization for Constrained Switched Positive Linear Systems via Output-Feedback
37(14)
Jinjin Liu
Shanen Yu
Zhiqiang Li
Ting Zhang
5 Stability Analysis of Discrete-Time Switching Positive System with Delays: Homogeneous Polynomial Copositive Lyapunov Function Method
51(10)
Shuai Li
Duyu Liu
6 S-Procedure for Positive Switched Linear Systems and its Equivalence to Lyapunov-Metzler Inequalities
61(12)
Junfeng Zhang
Tarek Raissi
7 Finite Time Interval Observer Design for Discrete-Time Switched Systems
73(12)
Jun Huang
Shanen Yu
Xiang Ma
Liang Chen
Part II Stochastic Positive Systems
8 Positivity and Stability of Continuous-Time Stochastic Linear Systems
85(12)
Jinling Liang
Ying Jin
9 Asynchronous Control for Positive Discrete-Time Markovian Jump Systems
97(12)
Hui Shang
Wenhai Qi
Guangdeng Zong
10 Non-fragile Control for Positive Markov Jump Systems with Actuator Saturation
109(18)
Shicheng Li
Junfeng Zhang
Yun Chen
Xianglei Jia
11 Travel Behavior Analysis for Free-Floating Bike Sharing Systems Based on Markov-Chain Models
127(20)
Wenjia Liang
Jianru Hao
Liguo Zhang
12 Positive L1 Controller Design for Positive Piecewise Homogeneous Markovian Jump Systems
147(18)
Di Zhang
Qingling Zhang
Part III Systems with Positivity
13 Stabilization Design for Uncertain Linear Positive Systems with Time-Delay
165(14)
Yujie Zhao
Linling Liao
Xiushan Cai
Yanhong Liu
14 Stability Analysis of Discrete-Time Periodic Positive Systems with Delays
179(10)
Tiantong Pu
Qinzhen Huang
15 Extension of Lossless Negative Imaginary Lemmas to Systems with Poles at the Origin
189(14)
Junlin Xiong
Yongge Guo
16 SDA-RVM Based Approach for Surge Fault Detection and Diagnosis During Aero-Engine Take-Off Process
203(12)
Ji-Bang Li
Shuo Zhang
Xiao-Yu Sun
Wei-Guo Xia
17 Closed-Loop Nash Games for Interconnected Positive Nonlinear Systems with Hoo Constraint
215(10)
Hiroaki Mukaidani
Hua Xu
18 Note on Interval Observer Design Based on Positive System Theory
225(8)
Shenghui Guo
Wenyang Zhang
Jingyun Xu
19 A New Interval Observer Design Method with Application to Fault Detection
233(14)
Liliang Li
Zhijie Shao
Rui Niu
Gang Liu
Zhenhua Wang
Part IV Complex Networks
20 A Left Eigenvector Producing a Smooth Lyapunov Function of ISS Networks
247(22)
Hiroshi Ito
Bjorn S. Ruffer
21 Pinning Control Design for Stabilization of Boolean Networks From Constructed Boolean Control Networks
269(10)
Rongjian Liu
Jianquan Lu
Jie Zhong
22 Improved Multiple-State Observer Design for Boolean Control Networks
279(10)
Junqi Yang
Lizhi Cui
Yantao Chen
Zihan Gao
Wei Qian
23 Identiflability of Boolean Networks via Output Data and Initial States
289(10)
Yongyuan Yu
Jun-E Feng
24 Oscillation Analysis of Abscisic Acid Signal Transduction Network: A Semi-tensor Product Approach
299(10)
Shuqi Chen
Jiyan Zhang
Yuhu Wu
25 A New Energy-Efficient Flooding Broadcast Time Synchronization for Wireless Sensor Networks
309(12)
Tengfei Xia
Shuping He
26 Bounded Synchronization for a Class of Coupled Complex Networks with Nonidentical Nodes
321
Yuanyuan Wu
Jing Li
Qingbo Li
Qing-E Wu
Xiaoliang Qian