Title :
On robust stability of positive differentiable linear systems
Author :
Son, N.K. ; Hinrichsen, D.
Author_Institution :
Inst. of Math., Hanoi, Viet Nam
Abstract :
In this note a simple formula for the real stability radius of uncertain positive linear continuous time systems is established and it is shown that the real stability radius coincides with the complex one. Arbitrary disturbance norms induced by monotonic vector norms (e.g. p-norms, 1⩽p⩽∞) are considered. The distance of intervals of positive systems from instability is also determined
Keywords :
robust control; stability criteria; arbitrary disturbance norms; monotonic vector norms; positive differentiable linear systems; real stability radius; robust stability; uncertain positive linear continuous time systems; Asymptotic stability; Continuous time systems; Linear matrix inequalities; Linear systems; Mathematics; Robust stability;
Conference_Titel :
Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
0-7803-2685-7
DOI :
10.1109/CDC.1995.480301
