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ENTCS
2008
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13 years 11 months ago
The Reach-and-Evolve Algorithm for Reachability Analysis of Nonlinear Dynamical Systems
This paper introduces a new algorithm dedicated to the rigorous reachability analysis of nonlinear dynamical systems. The algorithm is initially presented in the context of discre...
Pieter Collins, Alexandre Goldsztejn
34
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AMC
2006
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13 years 11 months ago
How much can analog and hybrid systems be proved (super-)Turing
Church thesis and its variants say roughly that all reasonable models of computation do not have more power than Turing machines. In a contrapositive way, they say that any model ...
Olivier Bournez
STACS
2000
Springer
14 years 2 months ago
The Stability of Saturated Linear Dynamical Systems Is Undecidable
We prove that several global properties (global convergence, global asymptotic stability, mortality, and nilpotence) of particular classes of discrete time dynamical systems are un...
Vincent D. Blondel, Olivier Bournez, Pascal Koiran...