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Systematic Simulation Using Sensitivity Analysis

  • Conference paper
Hybrid Systems: Computation and Control (HSCC 2007)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4416))

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Abstract

In this paper we propose a new technique for verification by simulation of continuous and hybrid dynamical systems with uncertain initial conditions. We provide an algorithmic methodology that can, in most cases, verify that the system avoids a set of bad states by conducting a finite number of simulation runs starting from a finite subset of the set of possible initial conditions. The novelty of our approach consists in the use of sensitivity analysis, developed and implemented in the context of numerical integration, to efficiently characterize the coverage of sampling trajectories.

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Alberto Bemporad Antonio Bicchi Giorgio Buttazzo

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Donzé, A., Maler, O. (2007). Systematic Simulation Using Sensitivity Analysis. In: Bemporad, A., Bicchi, A., Buttazzo, G. (eds) Hybrid Systems: Computation and Control. HSCC 2007. Lecture Notes in Computer Science, vol 4416. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71493-4_16

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  • DOI: https://doi.org/10.1007/978-3-540-71493-4_16

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-71492-7

  • Online ISBN: 978-3-540-71493-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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