Satisfaction of Linear Temporal Logic Specifications Through Recurrence Tools for Hybrid Systems

Andrea Bisoffi, Dimos V. Dimarogonas

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Abstract

In this article, we formulate the problem of satisfying a linear temporal logic formula on a linear plant with output feedback, through a recent hybrid systems formalism. We relate this problem to the notion of recurrence introduced for the considered formalism, and we then extend Lyapunov-like conditions for recurrence of an open, unbounded set. One of the proposed relaxed conditions allows certifying recurrence of a suitable set, and this guarantees that the high-level evolution of the plant satisfies the formula, without relying on discretizations of the plant. Simulations illustrate the proposed approach.
Original languageEnglish
Pages (from-to)818-825
Number of pages8
JournalIEEE Transactions on Automatic Control
Volume66
Issue number2
Early online date2-Apr-2020
DOIs
Publication statusPublished - Feb-2021

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