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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.
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Last modified: Wed Aug 7 15:28:02 2019
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