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Titlebook: Stochastic Hybrid Systems; Theory and Safety Cr Henk A. P. Blom,John Lygeros Book 2006 Springer-Verlag Berlin Heidelberg 2006 Approximation

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Critical Observability of a Class of Hybrid Systems and Application to Air Traffic Management,t be detected immediately since they correspond to hazards that may lead to catastrophic events. Some sufficient and some necessary conditions for critical observability are derived. An observer is proposed for reconstructing the hybrid state evolution of the switching system whenever a critical sta
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Multirobot Navigation Functions I,multiple robotic agents. The solution is a closed form feedback based navigation scheme. The considered robot kinematics include holonomic and non-holonomic constraints and are handled under the unifying framework of multirobot navigation functions. The derived methodology has theoretically guarante
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Multirobot Navigation Functions II: Towards Decentralization,resented in the first part, towards decentralization concepts. Both holonomic and nonholonomic kinematic models are considered and the limited sensing capabilities of each agent are taken into account. An extension to dynamic models of the agents’ motion is also included. The conflict resolution as
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Monte Carlo Optimisation for Conflict Resolution in Air Traffic Control,process used by air traffic controllers to prevent loss of separation. Conflict resolution involves issuing instructions to aircraft to avoid loss of safe separation between them and, at the same time, direct them to their destinations. Conflict resolution requires decision making in the face of the
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Branching and Interacting Particle Interpretations of Rare Event Probabilities,hms, and multi-splitting branching models. These Monte Carlo methods are illustrated with a variety of examples arising in particle trapping analysis, as well as in ruin type estimation problems. We also provide a rather detailed presentation of the asymptotic theory of these particle algorithms, in
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Compositional Specification of a Multi-agent System by Stochastically and Dynamically Coloured Petropriate accident risk assessment models. For air traffic operations, the development of such model is more challenging due to the high distribution of and complex interactions between the multiple agents involved. The specific problems are: A) Need for a hierarchy from low level Petri nets to the co
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Multirobot Navigation Functions I,onomic constraints and are handled under the unifying framework of multirobot navigation functions. The derived methodology has theoretically guaranteed global convergence and collision avoidance properties. The feasibility of the proposed navigation scheme is verified through non-trivial computer simulations.
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