Analysis and Synthesis of Dynamical Systems with Time-Delays

1. Front Matter

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2. Basic Theory for Systems with Time-Delay

   1. Front Matter

      Pages 1-1

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   2. Recent Results on Analysis of Systems with Time-Delay

      • Yuanqing Xia, Mengyin Fu, Peng Shi

      Pages 3-16

   3. New Results on Stability of Systems With Interval Time-Varying Delay

      • Yuanqing Xia, Mengyin Fu, Peng Shi

      Pages 17-23

   4. Stability and Stabilization for Discrete Systems with Time-Delay

      • Yuanqing Xia, Mengyin Fu, Peng Shi

      Pages 25-34

3. Sliding Mode Control (SMC) for Systems with Time-Delay

   1. Front Matter

      Pages 35-35

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   2. Robust SMC for Uncertain Time-Delay Systems

      • Yuanqing Xia, Mengyin Fu, Peng Shi

      Pages 37-48

   3. Robust Delay-Dependent SMC for Uncertain Time-Delay Systems

      • Yuanqing Xia, Mengyin Fu, Peng Shi

      Pages 49-65

   4. Robust Adaptive SMC for Uncertain Time-Delay Systems

      • Yuanqing Xia, Mengyin Fu, Peng Shi

      Pages 67-83

   5. SMC of Uncertain Linear Discrete Time Systems with Input Delay

      • Yuanqing Xia, Mengyin Fu, Peng Shi

      Pages 85-97

   6. SMC for Linear Systems with Input and State Delays

      • Yuanqing Xia, Mengyin Fu, Peng Shi

      Pages 99-118

   7. Robust SMC for Uncertain Time-Delay Systems Based on Delta Operator

      • Yuanqing Xia, Mengyin Fu, Peng Shi

      Pages 119-136

   8. ADRC for Uncertain Systems with Time-Delay

      • Yuanqing Xia, Mengyin Fu, Peng Shi

      Pages 137-149

4. Networked Control Systems (NCSs) with Random Time-Delay

   1. Front Matter

      Pages 151-151

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   2. Analysis and Synthesis of NCSs with Random Forward Delay

      • Yuanqing Xia, Mengyin Fu, Peng Shi

      Pages 153-176

   3. Analysis and Synthesis of NCSs with Random Feedback Delay

      • Yuanqing Xia, Mengyin Fu, Peng Shi

      Pages 177-197

   4. Analysis and Synthesis of NCSs with Random Forward and Feedback Delay

      • Yuanqing Xia, Mengyin Fu, Peng Shi

      Pages 199-223

   5. Stochastic Analysis of NCSs with Random Delay and Data Dropout

      • Yuanqing Xia, Mengyin Fu, Peng Shi

      Pages 225-242

   6. Networked Data Fusion with Packet Losses and Variable Delays

      • Yuanqing Xia, Mengyin Fu, Peng Shi

      Pages 243-270

5. Back Matter

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Time-delay occurs in many dynamical systems such as biological systems, chemical systems, metallurgical processing systems, nuclear reactor, long transmission lines in pneumatic, hydraulic systems and electrical networks. Especially, in recent years, time-delay which exists in networked control s- temshasbroughtmorecomplexproblemintoanewresearcharea.Frequently, itisasourceofthegenerationofoscillation,instabilityandpoorperformance. Considerable e?ort has been applied to di?erent aspects of linear time-delay systems during recent years. Because the introduction of the delay factor renders the system analysis more complicated, in addition to the di?culties caused by the perturbation or uncertainties, in the control of time-delay s- tems, the problems of robust stability and robust stabilization are of great importance. This book presents some basic theories of stability and stabilization of systems with time-delay, which are related to the main results in this book. More attention will be paid on synthesis of systems with time-delay. That is, sliding mode control of systems with time-delay; networked control systems with time-delay; networked data fusion with random delay.

• Active Disturbance Rejection Control
• Networked Control Systems
• Networked Data Fusion
• SLIDING Model Control
• Time-Delay
• dynamical system
• instability
• networked control system
• sliding mode control
• stability
• system

• Department of Automatic Control, Beijing Institute of Technology, Beijing, China

  Yuanqing Xia, Mengyin Fu

• School of Science and Engineering, Victoria University, Melbourne, Australia

  Peng Shi

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