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# Dynamical system decomposition for efficient, sparse analysis

@article{Anderson2010DynamicalSD, title={Dynamical system decomposition for efficient, sparse analysis}, author={James Anderson and Antonis Papachristodoulou}, journal={49th IEEE Conference on Decision and Control (CDC)}, year={2010}, pages={6565-6570} }

- Published 2010 in 49th IEEE Conference on Decision and Control (CDCâ€¦
DOI:10.1109/CDC.2010.5717269

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 ofâ€¦Â CONTINUE READING