Title :
LMI approach to spectral stabilizability of linear delay systems and stabilizability of linear systems-with, complex parameter
Author :
Bliman, Pierre-Alexandre
Author_Institution :
Inst. Nat. de Recherche en Inf. et Autom., Le Chesnay, France
Abstract :
This paper is focused on the issue of pointwise (E.W. Kamen et al., 1984) or (strong) delay-independent (S.I. Niculescu et al., 1996) stabilization of linear delay systems with commensurate delays. A criterion using a linear matrix inequalities (LMI) formulation is proposed which is sufficient to have this property. Necessity is conjectured
Keywords :
delay systems; linear systems; matrix algebra; stability; stability criteria; complex parameter; linear delay systems; linear matrix inequalities; linear systems stabilization; necessary condition; pointwise stabilization; ring; spectral stabilizability; stability criterion; strong delay-independent stabilization; sufficient condition; Artificial intelligence; Bismuth; Delay lines; Delay systems; Equations; Feedback; Linear matrix inequalities; Linear systems; Robust stability; Topology;
Conference_Titel :
Decision and Control, 2001. Proceedings of the 40th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-7061-9
DOI :
10.1109/.2001.981094