Eigenvalue clustering, control energy, and logarithmic capacity

Citations of this article
Mendeley users who have this article in their library.


We prove two bounds showing that if the eigenvalues of a matrix are clustered in a region of the complex plane then the corresponding discrete-time linear system requires significant energy to control. A curious feature of one of our bounds is that the dependence on the region is via its logarithmic capacity, which is a measure of how well a unit of mass may be spread out over the region to minimize a logarithmic potential.




Olshevsky, A. (2016). Eigenvalue clustering, control energy, and logarithmic capacity. Systems and Control Letters, 96, 45–50. https://doi.org/10.1016/j.sysconle.2016.06.013

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free