Analytic Solutions of Matrix Riccati Equations with Analytic Coefficients

  • Authors:

  • Ruth Curtain;Leiba Rodman

  • Affiliations:

  • r.f.curtain@rug.nl;lxrodm@math.wm.edu

  • Venue:
  • SIAM Journal on Matrix Analysis and Applications
  • Year:
  • 2010

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Abstract

For matrix Riccati equations of platoon-type systems and of systems arising from PDEs, assuming the coefficients are analytic or rational functions in a suitable domain, analyticity of the stabilizing solution is proved under various hypotheses. General results on analytic behavior of stabilizing solutions are developed as well.