Bounds on the eigenvalues of systems with delay
Erik I. Verriest · IFAC-PapersOnLine · 2023
We review some known bounds for eigenvalues of matrices and use similar techniques to derive bounds for nonlinear eigen problems and the eigenvalues for LTI systems with delays. Two classes of results are presented. The first are based on Hermitian decompositions, the second on Gershgorin's theorem. The bounds are easily computable. We reflect on implications for stability theory which may be contrasted with bounds that have been obtained via Riccati stability based on Lyapunov-Krasovskii theory.