BACK TO INDEX
Publications of Eduardo D. Sontag jointly with E.P. Ryan
Articles in journal or book chapters
E.P. Ryan and E.D. Sontag.
Well-defined steady-state response does not imply CICS.
Systems and Control Letters,
Keyword(s): nonlinear stability,
Systems for which each constant input gives rise to a unique globally attracting equilibrium are considered. A counterexample is provided to show that inputs which are only asymptotically constant may not result in states converging to equilibria (failure of the converging-input converging state, or ``CICS'' property).
E. P. Ryan,
and E.D. Sontag.
Meagre functions and asymptotic behaviour of dynamical systems.
44(8, Ser. A: Theory Methods):1087-1109,
Keyword(s): invariance principle.
A measurable function x from a subset J of R into a metric space X is said to be C-meagre if C is non-empty subset of X and, for every closed subset K of X disjoint from C, the preimage of K under x has finite Lebesgue measure. This concept of meagreness, applied to trajectories, is shown to provide a unifying framework which facilitates a variety of characterizations, extensions or generalizations of diverse facts pertaining to asymptotic behaviour of dynamical systems.
BACK TO INDEX
This material is presented to ensure timely dissemination of
scholarly and technical work. Copyright and all rights therein
are retained by authors or by other copyright holders.
Last modified: Mon Nov 7 18:17:06 2022
This document was translated from BibTEX by