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Article Dans Une Revue IEEE Transactions on Automatic Control Année : 2023

Certifying the LTL Formula p Until q in Hybrid Systems

Hyejin Han
Ricardo Sanfelice

Résumé

In this paper, we propose sufficient conditions to guarantee that a linear temporal logic formula of the form p Until q , denoted by pUq , is satisfied for a hybrid system. Roughly speaking, the formula pUq is satisfied means that the solutions, initially satisfying proposition p , keep satisfying this proposition until proposition q is satisfied. To certify such a formula, connections to invariance notions – specifically, conditional invariance and eventual conditional invariance – as well as finite-time convergence properties are established. As a result, sufficient conditions involving the data of the hybrid system and an appropriate choice of Lyapunov-like functions, such as barrier functions, are derived. Examples illustrate the results throughout the paper.

Dates et versions

hal-03853066 , version 1 (15-11-2022)

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Citer

Hyejin Han, Mohamed Maghenem, Ricardo Sanfelice. Certifying the LTL Formula p Until q in Hybrid Systems. IEEE Transactions on Automatic Control, 2023, 68 (7), pp.4451-4458. ⟨10.1109/TAC.2022.3207417⟩. ⟨hal-03853066⟩
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