GENERALIZED LYAPUNOV EQUATION AND FACTORIZATION OF MATRIX POLYNOMIALS


ALIEV F., LARIN V.

SYSTEMS & CONTROL LETTERS, cilt.21, ss.485-491, 1993 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 21 Konu: 6
  • Basım Tarihi: 1993
  • Doi Numarası: 10.1016/0167-6911(93)90053-9
  • Dergi Adı: SYSTEMS & CONTROL LETTERS
  • Sayfa Sayıları: ss.485-491

Özet

This paper presents an algorithm for the construction of a solution of the generalized Lyapunov equation. It is proved that the polynomial matrix factorization relative to the imaginary axis may be reduced to the successive solution of Lyapunov equations, i.e. the factorization is reduced to the solution of a sequence of generalized Lyapunov equations, not to the solution of generalized Riccati equation.