Skew-selfadjoint Dirac systems: stability of the procedure of explicit solving the inverse problem

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 prov...

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Veröffentlicht in:	arXiv.org 2016-01
Hauptverfasser:	Fritzsche, B, Kirstein, B, I Ya Roitberg, Sakhnovich, A L
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Sprache:	eng
Schlagworte:	Inverse problems Mathematical analysis Mathematics - Classical Analysis and ODEs Mathematics - Optimization and Control Mathematics - Spectral Theory Stability System theory Systems theory
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description	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.
doi_str_mv	10.48550/arxiv.1510.00793
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subjects	Inverse problems Mathematical analysis Mathematics - Classical Analysis and ODEs Mathematics - Optimization and Control Mathematics - Spectral Theory Stability System theory Systems theory
title	Skew-selfadjoint Dirac systems: stability of the procedure of explicit solving the inverse problem
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