Synchronization of Coupled Dynamical Systems: Tolerance to Weak Connectivity and Arbitrarily Bounded Time-Varying Delays
- Tsinghua Univ., Beijing (China). Dept. of Precision Instrument
- Univ. of North Texas, Denton, TX (United States). Electrical Engineering
- Univ. of California, Riverside, CA (United States). Dept. of Electrical Engineering
- Pacific Northwest National Lab. (PNNL), Richland, WA (United States). Energy and Environment Directorate
Here, we study synchronization of coupled linear systems over networks with weak connectivity and nonuniform time-varying delays. We focus on the case where the internal dynamics are time-varying but non-expansive (stable dynamics with a quadratic Lyapunov function). Both uniformly jointly connected and infinitely jointly connected communication topologies are considered. A new concept of quadratic synchronization is introduced. We first show that global asymptotic quadratic synchronization can be achieved over directed networks with uniform joint connectivity and arbitrarily bounded delays. We then study the case of infinitely jointly connected communication topology. In particular, for the undirected communication topologies, it turns out that the existence of a uniform time interval for the jointly connected communication topology is not necessary and quadratic synchronization can be achieved when the time-varying nonuniform delays are arbitrarily bounded. Finally, simulation results are provided to validate the theoretical results.
- Research Organization:
- Pacific Northwest National Laboratory (PNNL), Richland, WA (United States)
- Sponsoring Organization:
- USDOE; National Natural Science Foundation of China (NSFC)
- Grant/Contract Number:
- AC05-76RL01830; 61503249; 4173075; 2016YFB0500902
- OSTI ID:
- 1438231
- Report Number(s):
- PNNL-SA-116223
- Journal Information:
- IEEE Transactions on Automatic Control, Vol. 63, Issue 6; ISSN 0018-9286
- Publisher:
- IEEECopyright Statement
- Country of Publication:
- United States
- Language:
- English
Web of Science
Adaptive finite-time reconfiguration control of unmanned aerial vehicles with a moving leader
|
journal | October 2018 |
Consensus analysis of multi-agent systems with general linear dynamics and switching topologies by non-monotonically decreasing Lyapunov function
|
journal | January 2019 |
Similar Records
A Distributed Algorithm for Economic Dispatch Over Time-Varying Directed Networks With Delays
Synchronization of Lienard-Type Oscillators in Uniform Electrical Networks