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arxiv: 1603.08851 · v1 · pith:6TZUY4LMnew · submitted 2016-03-29 · 🧮 math.OC

Rigorous constraint satisfaction for sampled linear systems

classification 🧮 math.OC
keywords linearsystemsboundconstraintrigoroussampledsatisfactionaddress
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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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