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LICS
2012
IEEE
12 years 1 months ago
The Complete Proof Theory of Hybrid Systems
—Hybrid systems are a fusion of continuous dynamical systems and discrete dynamical systems. They freely combine dynamical features from both worlds. For that reason, it has ofte...
André Platzer
LICS
2012
IEEE
12 years 1 months ago
Logics of Dynamical Systems
—We study the logic of dynamical systems, that is, logics and proof principles for properties of dynamical systems. Dynamical systems are mathematical models describing how the s...
André Platzer
CASC
2011
Springer
212views Mathematics» more  CASC 2011»
12 years 11 months ago
Semi-algebraic Description of the Equilibria of Dynamical Systems
Abstract. We study continuous dynamical systems defined by autonomous ordinary differential equations, themselves given by parametric rational functions. For such systems, we pro...
Changbo Chen, Marc Moreno Maza
MCU
2007
113views Hardware» more  MCU 2007»
14 years 29 days ago
On the Computational Capabilities of Several Models
We review some results about the computational power of several computational models. Considered models have in common to be related to continuous dynamical systems. 1 Dynamical Sy...
Olivier Bournez, Emmanuel Hainry
FORMATS
2006
Springer
14 years 3 months ago
Temporal Logic Verification Using Simulation
In this paper, we consider a novel approach to the temporal logic verification problem of continuous dynamical systems. Our methodology has the distinctive feature that enables the...
Georgios E. Fainekos, Antoine Girard, George J. Pa...