Journal
IEEE CONTROL SYSTEMS LETTERS
Volume 6, Issue -, Pages 2731-2736Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/LCSYS.2022.3176196
Keywords
Sufficient conditions; Jacobian matrices; Optimization; Perturbation methods; Matrix decomposition; Symmetric matrices; Pandemics; Networked control systems; stability of nonlinear systems; neural networks
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Funding
- Air Force Office of Scientific Report (AFOSR) [FA9550-22-1-0059, FA9550-21-1-0203]
- ISF
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This paper addresses the problem of networked system contraction by designing minimal effort local controllers. The proposed method combines a hierarchical contraction characterization and a matrix-balancing approach to stabilize a Metzler matrix through minimal diagonal perturbations. The approach is demonstrated by designing local controllers that render contractive a network of FitzHugh-Nagumo neurons with general topology of interactions.
We consider the problem of making a networked system contracting by designing minimal effort local controllers. Our method combines a hierarchical contraction characterization and a matrix-balancing approach to stabilizing a Metzler matrix via minimal diagonal perturbations. We demonstrate our approach by designing local controllers that render contractive a network of FitzHugh-Nagumo neurons with a general topology of interactions.
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