Highly Influenced

@article{Trimpe2009ALP, title={A limiting property of the matrix exponential with application to multi-loop control}, author={Sebastian Trimpe and Raffaello D'Andrea}, journal={Proceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference}, year={2009}, pages={6419-6425} }

- Published 2009 in Proceedings of the 48h IEEE Conference on…
DOI:10.1109/CDC.2009.5399588

A limiting property of the matrix exponential is proven: For a real square matrix, where the log norm of the upper-left n by n block approaches negative infinity in a limiting process, the matrix exponential goes to zero in the first n rows and n columns. This property is useful for simplification of dynamic systems that exhibit modes with sufficiently different time scales; for example, in multi-loop control systems with fast inner and slow outer feedback loops. For this case, we derive a time… CONTINUE READING