It suggests that the block forms are less sensitive to perturbations. The analysis is based on the technique of splitting operators and Lyapunov majorants as ...

the Schur basis may be infinitely sensitive. In this paper we present a complete perturbation analysis ofthe whole Schur system without the assumption that the ...

The sensitivity of the Schur system (the Schur basis and the Schur form) of a general matrix relative to perturbations, is studied.

The sensitivity of the Schur system (the Schur basis and the Schur form) of a general matrix relative to perturbations, is studied.

Nonlocal Perturbation Analysis of the Schur System of a Matrix. SIAM J. Matrix Analysis Applications, 15(2):383-392, April 1994. [doi]. Abstract; Authors ...

A general approach to nonlinear perturbation analysis producing nonlin- ear nonlocal perturbation bounds for the solution of basic linear control problems was ...

Apr 20, 2022 · With the technique in [9], in this paper, we consider the componentwise perturbation analysis of the generalized Schur decomposition. One of the ...

Oct 23, 2024 · In the present paper, we show the backward stability of the Schur decomposition for a given matrix under small perturbations.

Nonlocal Perturbation Analysis of the Schur System of a Matrix. Article. Apr 1994. M.M. Konstantinov · Petko Petkov ...

Sep 23, 2014 · Abstract. New local perturbation bounds for the continuous-time H∞-control problem are obtained, which are nonlinear functions of the data ...