Skew-selfadjoint Dirac systems: stability of the procedure of explicit solving the inverse problem
Spectral Theory
2018-03-20 v2 Classical Analysis and ODEs
Optimization and Control
Abstract
Procedures to recover explicitly discrete and continuous skew-selfadjoint Dirac systems on semi-axis from rational Weyl matrix functions are considered. Their stability is shown. Some new facts on asymptotics of pseudo-exponential potentials (i.e., of explicit solutions of inverse problems) are proved as well. GBDT version of Backlund-Darboux transformation, methods from system theory and results on algebraic Riccati equations are used for this purpose.
Keywords
Cite
@article{arxiv.1510.00793,
title = {Skew-selfadjoint Dirac systems: stability of the procedure of explicit solving the inverse problem},
author = {B. Fritzsche and B. Kirstein and I. Ya. Roitberg and A. L. Sakhnovich},
journal= {arXiv preprint arXiv:1510.00793},
year = {2018}
}
Comments
This paper is related to the paper arXiv:1508.07954 and deals with the case of discrete and continuous skew-selfadjoint Dirac systems (instead of the continuous selfadjoint case in arXiv:1508.07954). The discrete case is added in the current version