Rigorous constraint satisfaction for sampled linear systems

Moritz Schulze Darup

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arXiv · 1603.08851

Rigorous constraint satisfaction for sampled linear systems

Moritz Schulze Darup

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Abstract

We address a specific but recurring problem related to sampled linear systems. In particular, we provide a numerical method for the rigorous verification of constraint satisfaction for linear continuous-time systems between sampling instances. The proposed algorithm combines elements of classical branch and bound schemes from global optimization with a recently published procedure to bound the exponential of interval matrices.

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BibTeX RIS

Moritz Schulze Darup. 2016-03-29. Rigorous constraint satisfaction for sampled linear systems. https://arxiv.org/abs/1603.08851

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