Dynamical system decomposition for efficient, sparse analysis

  title={Dynamical system decomposition for efficient, sparse analysis},
  author={James Anderson and Antonis Papachristodoulou},
  journal={49th IEEE Conference on Decision and Control (CDC)},
We describe a system decomposition approach that allows for the efficient analysis of dynamical systems in the sum of squares (SOS) programming framework. The motivation is to break high-dimensional systems into lower-order interacting subsystems and to find a stability certificate for each of the subsystems. The certificates can be integrated at the end and used to determine the stability of the original large-scale system. Implicit in the decomposition approach is the requirement that each of… CONTINUE READING

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Publications referenced by this paper.
Showing 1-10 of 29 references

Polynomial equations and convex polytopes

  • B. Sturmfels
  • American Mathematical Monthly, vol. 105, no. 10…
  • 1998
Highly Influential
12 Excerpts

Input-output systems analysis using sum of squares programming: A decomposition approach

  • ——
  • Proceedings of the 19th International Symposium…
  • 2010
1 Excerpt

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