Nonlinear Oscillator Synchronization and Multi-Agent Consensus on Compact Manifolds with Novel Feedback Coupling and Complex Network Optimization
Abstract
The proposed project targets cross-disciplinary research in the areas of multi-agent consensus control on compact manifolds, periodic and chaotic oscillator synchronization and stabilization, and complex network optimization. Topical areas relevant to the DoDÕs research interests include complex networks, nonlinear and complex dynamics, oscillator synchronization, and multi-agent network control. The project emphasizes the use of analytical methods in these three separate disciplines to accomplish the goals of each area and includes the incorporation of novel strategies for feedback coupling, the investigation of new dynamical phenomena, and the use of new tools for the optimization of communication networks. In particular, recent strategies associated with consensus control of rigid body multi-vehicle systems, the utilization of time-periodic fractional order feedback coupling with or without input or communication delay, and various classifications of complex networks including temporal, switching, scale-free, small-world, and multi-layer networks will be utilized while the Master Stability Function approach in chaos synchronization will be extended to accommodate these approaches. More specifically, novel strategies that address unique issues associated with achieving consensus or synchronization on compact manifolds and complex networks in a globally continuous manner as well as the design of such networks and feedback coupling parameters for the optimization of synchronization metrics will be addressed. Such manifolds include Lie groups for rigid body and quantum synchronization, the circle or torus for phase synchronization, and strange attractors for chaos synchronization. In addition, new dynamical paradigms associated with cluster and orbital consensus and balancing on compact manifolds will be studied in both areas of multi-agent consensus and oscillator synchronization. The investigations will include applications of interest to the DoD including but not limited to cooperative multi-vehicle system control with antagonistic interactions between vehicle groups and applications of fractional and quantum synchronization in nonlinear physics. Finally, innovative methods for minority student involvement leveraging funding sources at the University of Arizona and the creation of a new cross-listed course in Nonlinear Dynamics and Synchronization will form the projectÕs core education goals. The benefits of graduate and undergraduate student participation will be assessed by tracking the studentsÕ academic success. By utilizing current research capabilities at UA (such as the high performance computing resources in UAÕs Research Data Center for the largest computing needs in the project), the scope of the proposed work will aid in the development of a growing statewide research cluster in complex networks, consensus control, nonlinear dynamics, and synchronization, while simultaneously serving to further broaden the universityÕs research base in support of national security.
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Jul 28, 2023
- Source ID
- W911NF2310155
Entities
People
- Eric Butcher
Organizations
- Army Contracting Command
- Office of the Secretary of Defense
- University of Arizona