M. Broucke, M.D. Di Benedetto, S. Di Gennaro and A. Sangiovanni-Vincentelli, Theory of optimal control using bisimulations, in HSCC 2000. Home/Search Document Details and Download
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A Set Oriented Approach To Global Optimal Control - Junge, Osinga (2004) (Correct)
....that the obstacles admit a finite description. The construction of the associated finite graph is based on a rather ad hoc discretization and the method is, unfortunately, restricted to problems where the cost function does not explicitly depend on the control. Broucke [2] and Broucke et al. [3,4] arrive at a similar problem setting via a partitioning of the domain by bisimulation. Their method does not require that the cost function is independent of the control. Instead, they rely on the existence (and knowledge) of a particular number of first integrals that are needed to construct the ....
M. Broucke, M.D. Di Benedetto, S. Di Gennaro and A. Sangiovanni-Vincentelli, Theory of optimal control using bisimulations, in HSCC 2000.
Optimal Control Using Bisimulations: Implementation - Broucke, Di Benedetto, Di.. (2001) (4 citations) Self-citation (Broucke Di benedetto) (Correct)
....a singlepass algorithm to solve the dynamic programming problem that arises, with added constraints to ensure non Zeno trajectories. 1 Introduction In this paper we continue our investigation of the application of hybrid systems and bisimulation to optimal control problems. In the first paper [2] we devel oped a discrete method for solving an optimal control problem based on hybrid systems and bisimulation. We showed that the value function of the discrete problem converges to the value function of the continuous problem as a discretization parameter tends to zero. In this paper we focus ....
....Because the HJB equation may not have a C solution it has not been possible to obtain a rigorous foundation for solutions in the usual sense. The correct con cept for solutions is that of viscosity solutions [10, 4] which provide the unique solution of (5) without differentiability. We showed in [2] that under assumptions of Lipschitz continuity of f,L, and h, and non Zenoness and transversality with 2y of optimal trajectories, that a particular discrete approximation of the value function converges to the viscosity solution of HJB. 3 From hybrid automata to finite automata In [2] we ....
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M. Broucke, M.D. Di Benedetto, S. Di Gennaro, A. Sangiovanni-Vincentelli. Theory of optimal control using bisimulations. In Hybrid Systems: Computation and Control, N. Lynch and B. Krogh, eds., LNCS 1790, Springer-Verlag, pp. 89-102, 2000.
ESAIM: Control, Optimisation and Calculus of Variations.. - Set Oriented Approach (Correct)
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M. Broucke, M.D. Di Benedetto, S. Di Gennaro and A. Sangiovanni-Vincentelli, Theory of optimal control using bisimulations, in HSCC 2000.
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