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» Reachability for Continuous and Hybrid Systems
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TSMC
1998
152views more  TSMC 1998»
13 years 7 months ago
Discrete event representation of qualitative models using Petri nets
—The paper discusses how Petri nets may be used for the qualitative modeling of physical systems. The qualitative state of a system is represented by the marking of the net. The ...
Alessandra Fanni, Alessandro Giua
IFM
2010
Springer
152views Formal Methods» more  IFM 2010»
13 years 6 months ago
Satisfaction Meets Expectations - Computing Expected Values of Probabilistic Hybrid Systems with SMT
Stochastic satisfiability modulo theories (SSMT), which is an extension of satisfiability modulo theories with randomized quantification, has successfully been used as a symboli...
Martin Fränzle, Tino Teige, Andreas Eggers
HYBRID
2000
Springer
13 years 11 months ago
Ellipsoidal Techniques for Reachability Analysis
For the reach tube of a linear time-varying system with ellipsoidal bounds on the control variable consider the following approximation problem. Find a tight ellipsoid-valued tube...
Alexander B. Kurzhanski, Pravin Varaiya
ENTCS
2008
68views more  ENTCS 2008»
13 years 7 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
HYBRID
2005
Springer
14 years 1 months ago
A Toolbox of Hamilton-Jacobi Solvers for Analysis of Nondeterministic Continuous and Hybrid Systems
Abstract. Hamilton-Jacobi partial differential equations have many applications in the analysis of nondeterministic continuous and hybrid systems. Unfortunately, analytic solution...
Ian M. Mitchell, Jeremy A. Templeton