1986
DOI: 10.1080/00207178608933645
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Control problems in a temporal logic framework

Abstract: Linear-timetemporal logicis applied to the verification of control systems. A formal language and proof system are adapted from those used in the verification of concurrent programs by Manna and Pnueli. Properties of some simple control systems are then verified by formally deducing temporal logic specifications of desired behaviour from descriptions of system dynamics. Finally, the usefulness of temporal logic in control theory is discussed and topics for future research are suggested.

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Cited by 108 publications
(32 citation statements)
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“…This model intentionally ignores some of the system characteristics, specifically those that need not be considered in attempting to meet the particular performance specifications. Often, to obtain an abstract model, high level symbolic representations are utilized [60,42,33,32,46]. The choice of the modelling technique affects most aspects of analysis and design of a controller for the system; consequently, special control methodologies must be used with the abstract models.…”
Section: Motivation" Sophistication and Complexity In Controlmentioning
confidence: 99%
“…This model intentionally ignores some of the system characteristics, specifically those that need not be considered in attempting to meet the particular performance specifications. Often, to obtain an abstract model, high level symbolic representations are utilized [60,42,33,32,46]. The choice of the modelling technique affects most aspects of analysis and design of a controller for the system; consequently, special control methodologies must be used with the abstract models.…”
Section: Motivation" Sophistication and Complexity In Controlmentioning
confidence: 99%
“…It also gives an equivalence proof that shows that the specified Workstations, Transport System and Workcell Controller cooperate meaningfully, and cannot be distinguished by a Shop Controller from a particular Workcell. Discussions on formal specifications of MPCSs can also be found in [48,23,53]. References [5,10,11] describe non-trivial applications.…”
Section: Integrated Behaviormentioning
confidence: 99%
“…Similarly, when dealing with temporal aspects, some axiomatizations of classical temporal logic, such as those of [61], and [76], include the following rule, usually called " -insertion": α α for any formula α, while others, like that of [92] do not consider it as a valid inference rule.…”
Section: 4 3 Remarks On Trio's Axiomatization and On Its Soundnessmentioning
confidence: 99%
“…Thus, we followed the line of [30] and [92], and considered open parameters of formulas, including the current interpretation time, as constants of unknown value. As a consequence we easily obtained a proof of soundness of TRIO proof system (in the classical sense, i.e.…”
Section: 4 3 Remarks On Trio's Axiomatization and On Its Soundnessmentioning
confidence: 99%