Title :
Stability of time-delay systems: equivalence between Lyapunov and scaled small-gain conditions
Author :
Zhang, Jianrong ; Knopse, Carl R. ; Tsiotras, Panagiotis
Author_Institution :
Dept. of Mech. & Aerosp. Eng., Virginia Univ., Charlottesville, VA, USA
fDate :
3/1/2001 12:00:00 AM
Abstract :
It is demonstrated that many previously reported Lyapunov-based stability conditions for time-delay systems are equivalent to the robust stability analysis of an uncertain comparison system free of delays via the use of the scaled small-gain lemma with constant scales. The novelty of this note stems from the fact that it unifies several existing stability results under the same framework. In addition, it offers insights on how new, less conservative results can be developed
Keywords :
Lyapunov methods; control system analysis; delay systems; robust control; stability criteria; uncertain systems; Lyapunov-based stability conditions; robust stability analysis; scaled small-gain conditions; time-delay systems; uncertain comparison system; Aerospace engineering; Delay systems; Eigenvalues and eigenfunctions; Frequency domain analysis; Robust stability; Stability analysis; Sufficient conditions; Testing; Time domain analysis; Uncertainty;
Journal_Title :
Automatic Control, IEEE Transactions on
