TY - JOUR
T1 - Global output stability for systems described by retarded functional differential equations
T2 - Lyapunov characterizations
AU - Karafyllis, Iasson
AU - Pepe, Pierdomenico
AU - Jiang, Zhong Ping
N1 - Funding Information:
The authors thank the anonymous reviewers for their comments and suggestions. 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 internal notions of output stability for uncertain time-varying systems described by retarded functional differential equations are provided. Particularly, characterizations by means of Lyapunov functionals of uniform and non-uniform in time Robust Global Asymptotic 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 internal notions of output stability for uncertain time-varying systems described by retarded functional differential equations are provided. Particularly, characterizations by means of Lyapunov functionals of uniform and non-uniform in time Robust Global Asymptotic 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 - Global asymptotic stability
KW - Lyapunov functionals
KW - Time-delay systems
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U2 - 10.3166/ejc.14.516-536
DO - 10.3166/ejc.14.516-536
M3 - Article
AN - SCOPUS:67349107372
SN - 0947-3580
VL - 14
SP - 516
EP - 536
JO - European Journal of Control
JF - European Journal of Control
IS - 6
ER -