Order Reduction of Discrete–time Algebraic Riccati Equations with Singular Closed Loop Matrix

@inproceedings{Ferrante2007OrderRO,
  title={Order Reduction of Discrete–time Algebraic Riccati Equations with Singular Closed Loop Matrix},
  author={Augusto Ferrante and Harald K. Wimmer},
  year={2007}
}
We study the general discrete-time algebraic Riccati equation and deal with the case where the closed loop matrix corresponding to an arbitrary solution is singular. In this case the extended symplectic pencil associated with the DARE has 0 as a characteristic root and the corresponding spectral deflating subspace gives rise to a subspace where all solutions of the DARE coincide. This allows for a reduction of the original DARE to an equation of smaller size. 

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Showing 1-10 of 16 references

Discrete algebraic Riccati equation with singular coefficient matrix

  • T. FUJINAKA, G. CHEN, H. SHIBATA
  • Proceedings of theMTNS-98 Symposium on…
  • 1998
Highly Influential
3 Excerpts

A generalized eigenvalue approach for solving Riccati equations

  • P. VAN DOOREN
  • SIAM J. Sci. Statist. Comput. 2 (1981), pp. 121…
  • 2006
2 Excerpts

Indefinite-quadratic Estimation and Control: A Unified Approach to H2 and H∞ Theories

  • G. HASSIBI, A. H. SAYED, TH. KAILATH
  • SIAM Studies in Applied Mathematics, Vol. 16…
  • 1999
2 Excerpts

On computing the stabilizing solution of the discrete-time Riccati equation

  • V. IONESCU, M. WEISS
  • Linear Algebra Appl. 174
  • 1992
2 Excerpts

A

  • S. BITTANTI
  • J. LAUB AND J. C. WILLEMS, eds., The Riccati…
  • 1991
2 Excerpts

Classes of Linear Operators

  • I. GOHBERG, S. GOLDBERG, M. A. KAASHOEK
  • vol. I, Operator Theory: Advances and…
  • 1990
1 Excerpt

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