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» Global asymptotic stability in a rational recursive sequence
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AMC
2004
75views more  AMC 2004»
13 years 4 months ago
Global asymptotic stability in a rational recursive sequence
In this paper, we study the global stability of the difference equation xn
Xiaofan Yang, Hong-Jian Lai, David J. Evans, Graha...
MOC
2002
72views more  MOC 2002»
13 years 4 months ago
Long-term stability of variable stepsize approximations of semigroups
This paper is concerned with the stability of rational one-step approximations of C0 semigroups. Particular emphasis is laid on long-term stability bounds. The analysis is based on...
Nikolai Bakaev, Alexander Ostermann
SIAMCO
2008
87views more  SIAMCO 2008»
13 years 4 months ago
Homogeneous Approximation, Recursive Observer Design, and Output Feedback
We introduce two new tools that can be useful in nonlinear observer and output feedback design. The first one is a simple extension of the notion of homogeneous approximation to ma...
Vincent Andrieu, Laurent Praly, Alessandro Astolfi
MOC
2000
70views more  MOC 2000»
13 years 4 months ago
Extrapolation methods and derivatives of limits of sequences
Let {Sm} be an infinite sequence whose limit or antilimit S can be approximated very efficiently by applying a suitable extrapolation method E0 to {Sm}. Assume that the Sm and henc...
Avram Sidi