Title :
The computation of positive definite solutions to the 2-D Lyapunov equation via a matrix Riccati equation
Author :
Agathoklis, P. ; Jury, E.I. ; Mansour, Moussa
Author_Institution :
Dept. of Electr. & Comput. Eng., Victoria Univ., BC, Canada
Abstract :
Two algorithms for computing positive definite solutions to the 2-D Lyapunov equation are presented, based on the discrete-time strictly-bounded-real lemma. These algorithms require the solution of a matrix Riccati equation and are based on the algebraic solution of the spectral factorization problem. The problem of solving the 2-D Lyapunov equation is reduced to solving a series of 1-D problems. Examples illustrate the proposed algorithms.<>
Keywords :
Lyapunov methods; matrix algebra; stability; 2-D Lyapunov equation; discrete-time strictly-bounded-real lemma; matrix Riccati equation; positive definite solutions; spectral factorization problem; Algorithm design and analysis; Control engineering computing; Industrial electronics; Linear systems; Nonlinear equations; Polynomials; Riccati equations; Stability; Sufficient conditions; System testing;
Conference_Titel :
Circuits and Systems, 1988., IEEE International Symposium on
Conference_Location :
Espoo, Finland
DOI :
10.1109/ISCAS.1988.14936
