Balancing related methods for minimal realization of periodic systems

  title={Balancing related methods for minimal realization of periodic systems},
  author={Andr{\'a}s Varga},
We propose balancing related numerically reliable methods to compute minimal realizations of linear periodic systems with time-varying dimensions. The rst method belongs to the family of square-root methods with guaranteed enhanced computational accuracy and can be used to compute balanced minimal order realizations. An alternative balancing-free square-root method has the advantage of a potentially better numerical accuracy in case of poorly scaled original systems. The key numerical… CONTINUE READING

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Minimality and realization of discrete time-varying systems

  • I. Gohberg, M. A. Kaashoek, L. Lerer
  • Operator Theory: Adv. Appl
  • 1992
Highly Influential
4 Excerpts

A note on robust pole assignment for periodic systems

  • S. Longhi, R. Zulli
  • IEEE Trans. Automat. Control
  • 1996
1 Excerpt

Analysis of discrete-time linear periodic systems, in: C.T. Leondes (Ed.), Digital Control and Signal Processing Systems and Techniques

  • S. Bittanti, P. Colaneri
  • Control and Dynamics Systems,
  • 1996
1 Excerpt

Model reduction of linear discrete-time periodic systems using Hankel-norm approximations

  • B. Xie, R.K.A.V. Aripirala, V. Syrmos
  • in: Proc. 13th IFAC Congress, San Francisco,
  • 1996
1 Excerpt

Numerical solution of the discrete-time periodic Riccati equation

  • J. J. Hench, A. J. Laub
  • IEEE Trans. Automat. Control
  • 1994
2 Excerpts

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