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Distributed Identification of Contracting and/or Monotone Network Dynamics

arXiv 2107.14309 ↗First posted 29 Jul 2021eess.SY cs.LG cs.SYcited by 0

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Abstract (arXiv)

This paper proposes methods for identification of large-scale networked systems with guarantees that the resulting model will be contracting -- a strong form of nonlinear stability -- and/or monotone, i.e. order relations between states are preserved. The main challenges that we address are: simultaneously searching for model parameters and a certificate of stability, and scalability to networks with hundreds or thousands of nodes. We propose a model set that admits convex constraints for stability and monotonicity, and has a separable structure that allows distributed identification via the alternating directions method of multipliers (ADMM). The performance and scalability of the approach is illustrated on a variety of linear and non-linear case studies, including a nonlinear traffic network with a 200-dimensional state space.

Key facts. No citing papers in the map yet (data through 7 Oct 2026). Builds on 18 of its 71 references that are in the map. First posted on arXiv 29 Jul 2021.

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References · 18

  1. 2018Stable Recurrent Modelscited by 65
  2. 2016A flexible state space model for learning nonlinear dynamical systemscited by 18
  3. 2019On the smoothness of nonlinear system identificationcited by 17
  4. 2019Contracting Implicit Recurrent Neural Networks: Stable Models with Improved Trainabilitycited by 17
  5. 2016Convergence Properties for Discrete-time Nonlinear Systemscited by 10
  6. 2017Convex Parameterizations and Fidelity Bounds for Nonlinear Identification and Reduced-Order Modellingcited by 8
  7. 2018Specialized Interior Point Algorithm for Stable Nonlinear System Identificationcited by 3
  8. 2013Subspace identification of large-scale interconnected systemscited by 2
  9. 2016Identifiability of linear dynamic networkscited by 2
  10. 2017Separable and Localized System Level Synthesis for Large-Scale Systemscited by 2
  11. 2017On Existence of Separable Contraction Metrics for Monotone Nonlinear Systemscited by 2
  12. 2013Throughput Optimality and Overload Behavior of Dynamical Flow Networks under Monotone Distributed Routingcited by 1
6 more
  1. 2015Convexity and Robustness of Dynamic Traffic Assignment and Freeway Network Controlcited by 1
  2. 2017Formal Synthesis of Control Strategies for Positive Monotone Systemscited by 1
  3. 2017A Contractive Approach to Separable Lyapunov Functions for Monotone Systemscited by 1
  4. 2017Identification in Dynamic Networkscited by 1
  5. 2018Distributed Nonlinear Control Design using Separable Control Contraction Metricscited by 1
  6. 2019Priority Maps for Surveillance and Intervention of Wildfires and other Spreading Processescited by 1

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