Discrete abstractions of hybrid systems
… In this section, we obtain discrete abstraction of hybrid systems with restricted continuous
dynamics. We first consider timed automata, which have finite bisimulation quotients of a very …
dynamics. We first consider timed automata, which have finite bisimulation quotients of a very …
Abstractions for hybrid systems
A Tiwari - Formal Methods in System Design, 2008 - Springer
… discrete abstractions of hybrid systems. This procedure uses ideas from predicate abstraction
to abstract the discrete … abstract the continuous dynamics of the hybrid system. It relies on …
to abstract the discrete … abstract the continuous dynamics of the hybrid system. It relies on …
Series of abstractions for hybrid automata
… we consider hybrid systems with no discrete components, that is, hybrid systems with exactly
one … discrete abstractions of hybrid systems as described in this paper [13]. The quantifier …
one … discrete abstractions of hybrid systems as described in this paper [13]. The quantifier …
Compositional abstractions of hybrid control systems
… We show that purely discrete, continuous, and hybrid systems can be easily captured by
our categorical model. Furthermore, using this model, one can show many useful properties …
our categorical model. Furthermore, using this model, one can show many useful properties …
Discrete asymptotic abstractions of hybrid systems
JL Piovesan, HG Tanner… - Proceedings of the 45th …, 2006 - ieeexplore.ieee.org
… discrete distance between to discrete modes in a hybrid automaton H: Lemma 1 The discrete
… Time Mode Abstraction for a special class of (convergent) hybrid systems. According to this …
… Time Mode Abstraction for a special class of (convergent) hybrid systems. According to this …
Predicate abstraction for reachability analysis of hybrid systems
… and a set of predicates, we consider the finite discrete quotient whose states correspond
to all possible truth assignments to the input predicates. The tool performs an on-the-fly …
to all possible truth assignments to the input predicates. The tool performs an on-the-fly …
Relational abstractions for continuous and hybrid systems
S Sankaranarayanan, A Tiwari - … , CAV 2011, Snowbird, UT, USA, July 14 …, 2011 - Springer
… a given hybrid system as a purely discrete, infinite-state system. We apply k-induction to this
abstraction to … its use on many benchmark systems to derive simple and usable abstractions. …
abstraction to … its use on many benchmark systems to derive simple and usable abstractions. …
A totally ordered set of discrete abstractions for a given hybrid or continuous system
… discrete abstractions for a given hybrid or continuous system … (or hybrid) base system and
its discrete abstractions form a … underlying hybrid system on the basis of a discrete abstraction. …
its discrete abstractions form a … underlying hybrid system on the basis of a discrete abstraction. …
[PDF][PDF] Model abstractions for diagnosing hybrid systems
G Provan - Proceedings of the 20th International Workshop on …, 2009 - idus.us.es
… abstraction to simplify the hybrid systems model, while preserving key relevant behaviours.
Abstraction transforms the inherently infinite-state system … (possibly infinite) discrete spaces, …
Abstraction transforms the inherently infinite-state system … (possibly infinite) discrete spaces, …
Progress on reachability analysis of hybrid systems using predicate abstraction
… In order to construct the discrete abstraction of a hybrid system, we need to compute the
continuous successors of an abstract state, and check if this set intersects with the other abstract …
continuous successors of an abstract state, and check if this set intersects with the other abstract …
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