Machine Behavior Design And Analysis: A Consensus Perspective

1 Introduction to Collective Machine Behavior

1.1 Collective Machine Behavior

1.3 Theoretical Tools

1.4 Chapter Summary

2 Second-Order Min-Consensus

2.1 Introduction

2.2 Preliminary and Problem Formulation

2.3 Min-Consensus Under Switching Topology

2.4 Simulation Example

2.5 Chapter Summary

References

3 Consensus of High-Order Discrete-TimeMulti-Agent Systems

3.1 Introduction

3.2 Problem Description

3.3 Protocol Design

3.4 Theoretical Results

3.5 Illustrative Examples

3.6 Chapter Summary

References

4 Continuous-Time Biased Min-Consensus

4.1 Introduction

4.2 Background

4.4 Equivalence to Shortest Path Planning

4.5 Simulations and Applications

4.6 Conclusions

References

5 Discrete-Time Biased Min-Consensus

5.1 Introduction

5.2 Preliminary

5.4 Algorithms

5.5 Numerical Investigations

5.7 Chapter Summary

References

6 Biased Consensus Based Distributed Neural Network

6.1 Introduction

6.2 Problem Formulation

6.3 Unified Scheme

6.4 Theoretical Results

6.5 Illustrative Examples

6.6 Extension to Path Planning of Mobile Robots

6.7 Chapter Summary

References

7 Predictive Suboptimal Consensus

7.1 Introduction

7.3 Control Law Design

7.4 Theoretical Results

7.6 Chapter Summary

References

8 Adaptive Near-Optimal Consensus

8.1 Introduction

8.2 Problem Formulation

8.3 Nominal Near-Optimal Design

8.4 Adaptive Near-Optimal Design

8.5 Illustrative Example

8.6 Chapter Summary

References