Title :
Robust stability analysis in the *-norm and Lyapunov-Razumikhin functions for the stability analysis of time-delay systems
Author_Institution :
Div. of Optimization & Syst. Theor, KTH, Stockholm, Sweden
Abstract :
Lyapunov-Krasovskii functionals have been shown to have connections with input-output techniques considering delay operators mapping L2 to L2. It is shown here that Lyapunov-Razumikhin functions can also be connected to the input-output framework by considering operators on L∞ and the corresponding Small-Gain Theorem. Several important results from the Lyapunov-Razumikhin Theorem are retrieved and extended.
Keywords :
delay systems; stability; Lyapunov-Razumikhin functions; delay operators mapping; input-output techniques; robust stability analysis; small-gain theorem; time-delay systems; Asymptotic stability; Delay; Linear matrix inequalities; Matrices; Robust stability; Stability analysis; Symmetric matrices; *-norm; Lyapunov-Razumikhin Functions; Robust stability; Time-delay systems;
Conference_Titel :
Decision and Control and European Control Conference (CDC-ECC), 2011 50th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
978-1-61284-800-6
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2011.6160236
