Title :
Stability margin via reflection vectors
Author_Institution :
Institute of Cybernetics, Tallinn Technical University, Estonia
Abstract :
A new stability margin for discrete-time systems is proposed in the system characteristic polynomial coefficient space making use of, so-called, reflection vectors of monic Schur polynomials. Reflection vector margins give the distance to the stability boundary in directions of In reflection vectors of an n-th degree polynomial. The relations between the reflection vectors and its roots on the unit circle are obtained. An iterative procedure for stability radius determination is proposed.
Keywords :
Asymptotic stability; Bismuth; Discrete-time systems; Frequency-domain analysis; Polynomials; Robust stability; Stability criteria; Robust stability; linear discrete-time systems;
Conference_Titel :
European Control Conference (ECC), 2003
Conference_Location :
Cambridge, UK
Print_ISBN :
978-3-9524173-7-9
