2019
DOI: 10.1007/978-3-030-28423-7_4
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Rigorous Continuous Evolution of Uncertain Systems

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Cited by 2 publications
(2 citation statements)
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“…The current automaton model does not have an explicit notion of input/output variables and events: instead, the input/output character is deduced based on the product of the components. Work is under way on the modeling of inputs using differential inclusions: evolution for the continuous case is already available [21], while the extension to the hybrid case is next on schedule. Consequently, as soon as differential inclusions are handled in the hybrid domain in Ariadne, it will be possible to perform system decomposition and to provide an experimental evaluation of the proposed methodology.…”
Section: Compositional Implementationsmentioning
confidence: 99%
“…The current automaton model does not have an explicit notion of input/output variables and events: instead, the input/output character is deduced based on the product of the components. Work is under way on the modeling of inputs using differential inclusions: evolution for the continuous case is already available [21], while the extension to the hybrid case is next on schedule. Consequently, as soon as differential inclusions are handled in the hybrid domain in Ariadne, it will be possible to perform system decomposition and to provide an experimental evaluation of the proposed methodology.…”
Section: Compositional Implementationsmentioning
confidence: 99%
“…In our previous papers [29,30], the algorithm for obtaining an over-approximation in such a way was presented, derivation in the one-dimensional additive case with its corresponding error formula was given, cases of affine, step and sinusoidal auxiliary functions were revealed and some computational results were showcased. Here, we provide full derivation of the local error for a general input-affine system and extract formulas for the error in several cases.…”
Section: Introductionmentioning
confidence: 99%