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» Towards a Hybrid Dynamic Logic for Hybrid Dynamic Systems
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HYBRID
2004
Springer
13 years 11 months ago
On O-Minimal Hybrid Systems
This paper is driven by a general motto: bisimulate a hybrid system by a finite symbolic dynamical system. In the case of o-minimal hybrid systems, the continuous and discrete com...
Thomas Brihaye, Christian Michaux, Cédric R...
LICS
2012
IEEE
11 years 8 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
HYBRID
2000
Springer
13 years 10 months ago
Approximate Reachability Analysis of Piecewise-Linear Dynamical Systems
In this paper we describe an experimental system called d=dt for approximating reachable states for hybrid systems whose continuous dynamics is de ned by linear di erential equatio...
Eugene Asarin, Thao Dang, Oded Maler, Olivier Bour...
HYBRID
2009
Springer
14 years 1 months ago
Optimal Boundary Control of Convention-Reaction Transport Systems with Binary Control Functions
We investigate a new approach for solving boundary control problems for dynamical systems that are governed by transport equations, when the control function is restricted to binar...
Falk M. Hante, Günter Leugering
HYBRID
2007
Springer
13 years 10 months ago
Piecewise Constant Feedback Control of Piecewise Affine Gene Network Models
Abstract. The use of hybrid dynamical systems to model gene regulation is impelled by the switch-like behaviour of the latter. Piecewise affine differential equations is one of the...
Etienne Farcot, Jean-Luc Gouzé