1994
DOI: 10.1007/3-540-58179-0_47
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Suspension automata: A decidable class of hybrid automata

Abstract: A hybrid automaton consists of a discrete state component represented by a finite automaton, coupled with a (vector) continuous state component governed by a differential equation. For hybrid automata it is possible to reduce certain verification problems to those of checking language containment or language emptiness. Here we present a class of hybrid automata called suspension automata for which conditions can be given under which these problems are decidable.

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Cited by 41 publications
(32 citation statements)
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“…Thus, we can easily model preemption. The difference with stopwatch automata [32,26,11] is that our clocks take discrete and not continuous values. As a consequence, reachability is decidable for discrete-time stopwatch automata, while it is not in general for continuous-time [26,19].…”
Section: System Modellingmentioning
confidence: 99%
“…Thus, we can easily model preemption. The difference with stopwatch automata [32,26,11] is that our clocks take discrete and not continuous values. As a consequence, reachability is decidable for discrete-time stopwatch automata, while it is not in general for continuous-time [26,19].…”
Section: System Modellingmentioning
confidence: 99%
“…In (McManis and Varaiya 1994), McManis and Varaiya propose an extension of timed automata, called suspension automata, where continuous variables progress similarly as exposed in (Cassez and Larsen 2000). They prove that, for this model, reachability is undecidable and fall back to a decidable case, similar to that of timed automata, by considering that the suspension durations are fixed and integral.…”
Section: Formal Models For Online Schedulingmentioning
confidence: 99%
“…Current approaches for stopwatch automata verification include semidecidable methods for reachability analysis using hybrid automata [22,23]. Potential directions to offer decidable results include using timed automata for the conservative approximation of the scheduling problem based on time discretization.…”
Section: Analysis For Preemptive Schedulingmentioning
confidence: 99%
“…A generic form to analyze scheduling behavior based on the timed automata model was proposed in [4] for single processor scheduling using the Immediate Ceiling Priority protocol and the EDF algorithm. Other methods propose the use of the stopwatch model to verify preemptive scheduling of real-time systems [22,23]. Contrary to earlier works, the Dream framework focuses on component-based DRE systems.…”
Section: Related Workmentioning
confidence: 99%