TY - JOUR
T1 - Input-to-output stability for systems described by retarded functional differential equations
AU - Karafyllis, Iasson
AU - Pepe, Pierdomenico
AU - Jiang, Zhong Ping
N1 - Funding Information:
The work of P. Pepe has been supported by the Italian MIUR Project PRIN 2005. The work of Z. P. Jiang has been supported in part by the U.S. National Science Foundation under grants ECS-0093176, OISE-0408925 and DMS-0504462.
PY - 2008
Y1 - 2008
N2 - In this work characterizations of external notions of output stability for uncertain time-varying systems described by retarded functional differential equations are provided. Particularly, characterizations by means of Lyapunov and Razumikhin functions of (uniform) Weighted Input-to-Output Stability are given. The results of this work have been developed for systems with outputs in abstract normed linear spaces in order to allow outputs with no delay, with discrete or distributed delay or functional outputs with memory.
AB - In this work characterizations of external notions of output stability for uncertain time-varying systems described by retarded functional differential equations are provided. Particularly, characterizations by means of Lyapunov and Razumikhin functions of (uniform) Weighted Input-to-Output Stability are given. The results of this work have been developed for systems with outputs in abstract normed linear spaces in order to allow outputs with no delay, with discrete or distributed delay or functional outputs with memory.
KW - Input-to-output stability
KW - Lyapunov functionals
KW - Razumikhin functions
KW - Time-delay systems
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U2 - 10.3166/ejc.14.539-555
DO - 10.3166/ejc.14.539-555
M3 - Article
AN - SCOPUS:67349150311
SN - 0947-3580
VL - 14
SP - 539
EP - 555
JO - European Journal of Control
JF - European Journal of Control
IS - 6
ER -