منابع مشابه
O-Minimal Hybrid Systems
A uni ed approach to decidability questions for veri cation algorithms of hybrid systems is obtained by the construction of a bisimulation. Bisimulations are nite state quotients whose reachability properties are equivalent to those of the original in nite state hybrid system. In this paper, we introduce the notion of o-minimal hybrid systems, which are initialized hybrid systems whose relevant...
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This paper is driven by a general motto: bisimulate an hybrid system by a finite symbolic dynamical system. In the case of ominimal hybrid systems, the continuous and discrete components can be decoupled, and hence, the problem reduces in building a finite symbolic dynamical system for the continuous dynamics of each location. We show that this can be done for a quite general class of hybrid sy...
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We consider weighted o-minimal hybrid systems, which extend classical o-minimal hybrid systems with cost functions. These cost functions are “observer variables” which increase while the system evolves but do not constrain the behaviour of the system. In this paper, we prove two main results: (i) optimal o-minimal hybrid games are decidable; (ii) the model-checking of WCTL, an extension of CTL ...
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In this paper, we consider reachability games over general hybrid systems, and distinguish between two possible observation frameworks for those games: either the precise dynamics of the system is seen by the players (this is the perfect observation framework), or only the starting point and the delays are known by the players (this is the partial observation framework). In the first more class...
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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 components can be decoupled, and hence, the problem reduces in building a finite symbolic dynamical system for the continuous dynamics of each location. We show that this can be done for a quite general class of hybrid sy...
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ژورنال
عنوان ژورنال: Mathematics of Control, Signals, and Systems
سال: 2000
ISSN: 0932-4194
DOI: 10.1007/pl00009858