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On the linear stability of the extreme Kerr black hole under axially symmetric perturbations
(IOP Publishing, 2014-09)
We prove that for axially symmetric linear gravitational perturbations of the extreme Kerr black hole, there exists a positive definite and conserved energy. This provides a basic criteria for linear stability in axial ...
Perturbation analysis of the canonical subspaces
(Elsevier Science IncNew YorkEUA, 1998)
H-2 AND H-infinity PERFORMANCE OPTIMIZATION OF SINGULARLY PERTURBED SWITCHED SYSTEMS
(Siam PublicationsPhiladelphiaEUA, 2012)
On the analytical solution for the slewing flexible beam-like system: analysis of the linear part of the perturbed problem
(2008-12-01)
The dynamical system investigated in this work is a nonlinear flexible beam-like structure in slewing motion. Non-dimensional and perturbed governing equations of motion are presented. The analytical solution for the linear ...
On the analytical solution for the slewing flexible beam-like system: analysis of the linear part of the perturbed problem
(2008-12-01)
The dynamical system investigated in this work is a nonlinear flexible beam-like structure in slewing motion. Non-dimensional and perturbed governing equations of motion are presented. The analytical solution for the linear ...
On the analytical solution for the slewing flexible beam-like system: Analysis of the linear part of the perturbed problem
(Polish Soc Theoretical & Applied Mechanics, 2008-01-01)
The dynamical system investigated in this work is a nonlinear flexible beam-like structure in slewing motion. Non-dimensional and perturbed governing equations of motion are presented. The analytical solution for the linear ...
Finite rank perturbations of linear relations and matrix pencils
(Birkhauser Verlag Ag, 2021-02)
We elaborate on the deviation of the Jordan structures of two linear relations that are finite-dimensional perturbations of each other. We compare their number of Jordan chains of length at least n. In the operator case, ...
Petrov type of linearly perturbed type-D spacetimes
(IOP Publishing, 2015-09)
We show that a spacetime satisfying the linearized vacuum Einstein equations around a type-D background is generically of type I, and that the splittings of the principal null directions (PNDs) and of the degenerate ...