Bora, ShreemayeeMehrmann, Volker2021-12-172021-12-172004-06-062197-8085https://depositonce.tu-berlin.de/handle/11303/15539http://dx.doi.org/10.14279/depositonce-14312We investigate the effect of linear perturbations on several structured matrix pencils arising in control theory. These include skew-symmetric/symmetric pencils arising in the computation of optimal $H_\infty$ control and linear quadratic control for continuous and discrete time systems.en510 Mathematik∞ controllinear-quadratic controlHamiltonian matrixcontinuous-time controldiscrete-time controlskew-Hamiltonian/Hamiltonian pencilHermitian/Hermitian pencilResearch Paper