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Titlebook: Hybrid Systems: Computation and Control; 4th International Wo Maria Domenica Benedetto,Alberto Sangiovanni-Vince Conference proceedings 200

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Optimal Paths in Weighted Timed Automata, of reducing it to a (parametric) shortest-path problem for a finite directed graph. The directed graph we construct is a refinement of the region automaton due to Alur and Dill. We present an exponential time algorithm to solve the shortest-path problem for weighted timed automata starting from a s
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Reach Set Computations Using Real Quantifier Elimination,c inhomogeneous linear differential systems and use real quantifier elimination methods to get exact and approximate solutions. The method employs a reduction of the forward and backward reach set and control parameter set problems to the transcendental implicitization problems for the components of
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On the Decidability of the Reachability Problem for Planar Differential Inclusions,edure is not based on the computation of the reach-set but rather on the computation of the limit of individual trajectories. A key idea is the use of one-dimensional affne Poincaré maps for which we can easily compute the fixpoints. As a first step, we show that between any two points linked by an
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,Hybrid Feedback Control for Path Tracking by a Bounded—Curbature Vehicle,The car model, although rather simplified, contains some of the most relevant limitations that make application of existing results in the literature impossible: namely, the car can only move forward, and turn with a bounded steering radius; also, only limited sensory information is available..The a
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A Hybrid Approach to Traction Control,tion at Ford Research Laboratories. We show through simulations on a model and a realistic set of parameters that good and robust performance is achieved. Furthermore, the result- ing optimal controller is a piecewise linear function of the measurements that can be implemented on low cost control ha
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Optimal Control Using Bisimulations: Implementation, synthesize optimal enabling conditions for switching between locations in which the control is constant. We provide a single- pass algorithm to solve the dynamic programming problem that arises, with added constraints to ensure non-Zeno trajectories.
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