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The book aims to provide the tools for analyzing the synchronization of identical systems under time-delayed coupling. On the structural assumption that the system itself is semi-passive — i.e. the system is behaving as a passive system outside some ball-conditions ensuring synchronization of two systems under time-delayed coupling — the framework is extended to the more general situation of a network with time-delayed diffusive coupling. Conditions are derived for time-delay and coupling strength when the network exhibits synchronization or partial synchronization. The theory is illustrated by a number of simulation examples, providing also the experimental results on a network of electronic brain cells.
Contents:
- Theory:
- Preliminaries
- Master-Slave Synchronization with Time-Delay
- Synchronization of Semi-Passive Systems with Delay Couplings
- Synchronization of Systems with Time-Delay Couplings — LMI Approach
- Synchronization of Systems with Time-Delay Couplings — Frequency Domain Approach
- Synchronization and Network Topology — Scaling Laws in Networks
- Synchronization and Network Topology — Partial Synchronization
- Case Studies:
- Prediction Control of Mobile Robots via the Internet
- Cooperative Control of Swarm Mobile Robots with Communication Delays
- Synchronization in Networks of Neuron Circuits
- Conclusions
Readership: Graduate students, researchers and academics interested in complex systems and control theory.
