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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… Click to show full abstract
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. The GBDT version of Backlund–Darboux transformation, methods from system theory and results on algebraic Riccati equations are used for this purpose.
Keywords:
skew selfadjoint;
matrix functions;
weyl matrix;
rational weyl;
selfadjoint dirac;
dirac systems
Journal Title: Linear Algebra and its Applications
Year Published: 2017
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Journal Title: Linear Algebra and its Applications
Year Published: 2017
Link to full text (if available)
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recommendations!