HyLaGI: Symbolic Implementation of a Hybrid ... - Science Direct
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HyLaGI: Symbolic Implementation of a Hybrid ... - Science Direct
A precursor of HydLa was Hybrid cc [2,5], but its implementation did not com- ... constraint modules INIT, FALL, BOUNCE, XCONST and XBOUNCE.
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Electronic Notes in Theoretical Computer Science 317 (2015) 109–115 www.elsevier.com/locate/entcs
HyLaGI: Symbolic Implementation of a Hybrid Constraint Language HydLa Shota Matsumoto, Fumihiko Kono, Teruya Kobayashi and Kazunori Ueda
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Department of Computer Science and Engineering Waseda University Tokyo, Japan
Abstract A modeling language for hybrid systems HydLa and its implementation HyLaGI are described. HydLa is a constraint-based language that can handle uncertainties of models smoothly. HyLaGI calculates trajectories by symbolic formula manipulation to exclude errors resulting from floating-point arithmetic. HyLaGI features a nondeterministic simulation algorithm so it can calculate all possible qualitative different trajectories of models with uncertainties. Keywords: hybrid systems, rigorous simulation, constraints, symbolic computation
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A Constraint-based Language HydLa
Reliability is a key issue in the computation of hybrid systems in which quantitative errors may easily result in qualitatively wrong results. With this in mind, we have developed HydLa [12], a constraint-based modeling language for hybrid systems [8], and its implementation HyLaGI based on symbolic computation. The key feature of HydLa is that constraints are used as the sole mechanism for defining both the continuous and discrete behavior of systems. Constraints include ODEs (ordinary differential equations) and temporal logic formulas over reals, as well as logical implication that expresses conditionals and synchronization. A precursor of HydLa was Hybrid cc [2,5], but its implementation did not completely guarantee the correctness of results. Another approach was CLP(F) [7], constraint logic programming over real-valued functions. It aimed at rigorous simulation and handled interval constraints, but its control structure was very different from that of HydLa. 1
