Title :
On finite precision Lyapunov functions for companion matrices
Author :
Regalia, Phillip A.
Author_Institution :
Dept. Electron. et Commun., Inst. Nat. des Telecommun., Evry, France
fDate :
10/1/1992 12:00:00 AM
Abstract :
The finite precision stability of a discrete-time system realized in companion form is shown to be closely connected to a positive real character of a related all-pole-minus-one-half transfer function. This is shown as a consequence of some novel characterizations of solutions to a Lyapunov equation for companion matrices. The results are of practical significance as companion matrix state recursions are cheap to implement
Keywords :
Lyapunov methods; discrete time systems; matrix algebra; stability; transfer functions; Lyapunov functions; all-pole-minus-one-half transfer function; companion matrices; discrete-time system; finite precision stability; positive real character; Asymptotic stability; Equations; Filters; Limit-cycles; Lyapunov method; Numerical stability; Observability; Pathology; Roundoff errors; Transfer functions;
Journal_Title :
Automatic Control, IEEE Transactions on
