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Alimguzhin, V.; Mari, F.; Melatti, I.; Salvo, I.; Tronci, E. |
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Title  |
Linearising Discrete Time Hybrid Systems |
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Journal Article |
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Year |
2017 |
Publication |
IEEE Transactions on Automatic Control |
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Volume |
62 |
Issue |
10 |
Pages |
5357-5364 |
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Model Based Design approaches for embedded systems aim at generating correct-by-construction control software, guaranteeing that the closed loop system (controller and plant) meets given system level formal specifications. This technical note addresses control synthesis for safety and reachability properties of possibly non-linear discrete time hybrid systems. By means of syntactical transformations that require non-linear terms to be Lipschitz continuous functions, we over-approximate non-linear dynamics with a linear system whose controllers are guaranteed to be controllers of the original system. We evaluate performance of our approach on meaningful control synthesis benchmarks, also comparing it to a state-of-the-art tool. |
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0018-9286 |
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no |
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Call Number |
Sapienza @ mari @ ref7902199 |
Serial |
164 |
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Author |
Mari, Federico; Melatti, Igor; Salvo, Ivano; Tronci, Enrico |
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Title |
Linear Constraints as a Modeling Language for Discrete Time Hybrid Systems |
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Conference Article |
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Year |
2012 |
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Proceedings of ICSEA 2012, The Seventh International Conference on Software Engineering Advances |
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664-671 |
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ThinkMind |
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yes |
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Call Number |
Sapienza @ mari @ icsea12 |
Serial |
98 |
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Author |
Mari, Federico; Melatti, Igor; Salvo, Ivano; Tronci, Enrico |
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Title |
Linear Constraints and Guarded Predicates as a Modeling Language for Discrete Time Hybrid Systems |
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Journal Article |
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Year |
2013 |
Publication |
International Journal on Advances in Software |
Abbreviated Journal |
Intern. Journal on Advances in SW |
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Volume |
vol. 6, nr 1&2 |
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Pages |
155-169 |
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Keywords |
Model-based software design; Linear predicates; Hybrid systems |
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Abstract |
Model based design is particularly appealing in
software based control systems (e.g., embedded
software) design, since in such a case system
level specifications are much easier to define
than the control software behavior itself. In
turn, model based design of embedded systems
requires modeling both continuous subsystems
(typically, the plant) as well as discrete
subsystems (the controller). This is typically
done using hybrid systems. Mixed Integer Linear
Programming (MILP) based abstraction techniques
have been successfully applied to automatically
synthesize correct-by-construction control
software for discrete time linear hybrid systems,
where plant dynamics is modeled as a linear
predicate over state, input, and next state
variables. Unfortunately, MILP solvers require
such linear predicates to be conjunctions of
linear constraints, which is not a natural way of
modeling hybrid systems. In this paper we show
that, under the hypothesis that each variable
ranges over a bounded interval, any linear
predicate built upon conjunction and disjunction
of linear constraints can be automatically
translated into an equivalent conjunctive
predicate. Since variable bounds play a key role
in this translation, our algorithm includes a
procedure to compute all implicit variable bounds
of the given linear predicate. Furthermore, we
show that a particular form of linear predicates,
namely guarded predicates, are a natural and
powerful language to succinctly model discrete
time linear hybrid systems dynamics. Finally, we
experimentally show the feasibility of our
approach on an important and challenging case
study taken from the literature, namely the
multi-input Buck DC-DC Converter. As an example,
the guarded predicate that models (with 57
constraints) a 6-inputs Buck DC-DC Converter is
translated in a conjunctive predicate (with 102
linear constraints) in about 40 minutes. |
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IARIA |
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Editor |
Luigi Lavazza |
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ISSN |
1942-2628 |
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yes |
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Call Number |
Sapienza @ melatti @ |
Serial |
115 |
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Author |
Bucciarelli, Antonio; Piperno, Adolfo; Salvo, Ivano |
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Title |
Intersection types and λ-definability |
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Journal Article |
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Year |
2003 |
Publication |
Mathematical Structures in Computer Science |
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13 |
Issue |
1 |
Pages |
15-53 |
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Abstract |
This paper presents a novel method for comparing computational properties of λ-terms that are typeable with intersection types, with respect to terms that are typeable with Curry types. We introduce a translation from intersection typing derivations to Curry typeable terms that is preserved by β-reduction: this allows the simulation of a computation starting from a term typeable in the intersection discipline by means of a computation starting from a simply typeable term. Our approach proves strong normalisation for the intersection system naturally by means of purely syntactical techniques. The paper extends the results presented in Bucciarelli et al. (1999) to the whole intersection type system of Barendregt, Coppo and Dezani, thus providing a complete proof of the conjecture, proposed in Leivant (1990), that all functions uniformly definable using intersection types are already definable using Curry types. |
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Cambridge University Press |
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New York, NY, USA |
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ISSN |
0960-1295 |
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Approved |
yes |
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Call Number |
Sapienza @ mari @ Bucciarelli-Piperno-Salvo:MSCS-03 |
Serial |
69 |
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Author |
Mari, Federico; Melatti, Igor; Salvo, Ivano; Tronci, Enrico |
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Title |
From Boolean Relations to Control Software |
Type |
Conference Article |
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Year |
2011 |
Publication |
Proceedings of ICSEA 2011, The Sixth International Conference on Software Engineering Advances |
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Pages |
528-533 |
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Abstract |
Many software as well digital hardware automatic synthesis methods define the set of implementations meeting the given system specifications with a boolean relation K. In such a context a fundamental step in the software (hardware) synthesis process is finding effective solutions to the functional equation defined by K. This entails finding a (set of) boolean function(s) F (typically represented using OBDDs, Ordered Binary Decision Diagrams) such that: 1) for all x for which K is satisfiable, K(x, F(x)) = 1 holds; 2) the implementation of F is efficient with respect to given implementation parameters such as code size or execution time. While this problem has been widely studied in digital hardware synthesis, little has been done in a software synthesis context. Unfortunately the approaches developed for hardware synthesis cannot be directly used in a software context. This motivates investigation of effective methods to solve the above problem when F has to be implemented with software. In this paper we present an algorithm that, from an OBDD representation for K, generates a C code implementation for F that has the same size as the OBDD for F and a WCET (Worst Case Execution Time) linear in nr, being n = |x| the number of input arguments for functions in F and r the number of functions in F. |
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ThinkMind |
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978-1-61208-165-6 |
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Notes |
Best Paper Award |
Approved |
yes |
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Call Number |
Sapienza @ mari @ icsea11 |
Serial |
14 |
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Author |
Mari, Federico; Melatti, Igor; Salvo, Ivano; Tronci, Enrico |
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Title |
From Boolean Functional Equations to Control Software |
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Report |
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2011 |
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Volume |
abs/1106.0468 |
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Abstract |
Many software as well digital hardware automatic synthesis methods define the set of implementations meeting the given system specifications with a boolean relation K. In such a context a fundamental step in the software (hardware) synthesis process is finding effective solutions to the functional equation defined by K. This entails finding a (set of) boolean function(s) F (typically represented using OBDDs, Ordered Binary Decision Diagrams) such that: 1) for all x for which K is satisfiable, K(x, F(x)) = 1 holds; 2) the implementation of F is efficient with respect to given implementation parameters such as code size or execution time. While this problem has been widely studied in digital hardware synthesis, little has been done in a software synthesis context. Unfortunately the approaches developed for hardware synthesis cannot be directly used in a software context. This motivates investigation of effective methods to solve the above problem when F has to be implemented with software. In this paper we present an algorithm that, from an OBDD representation for K, generates a C code implementation for F that has the same size as the OBDD for F and a WCET (Worst Case Execution Time) at most O(nr), being n = |x| the number of arguments of functions in F and r the number of functions in F. |
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CoRR, Technical Report |
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yes |
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Call Number |
Sapienza @ mari @ |
Serial |
105 |
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Author |
Tronci, E.; Mancini, T.; Mari, F.; Melatti, I.; Salvo, I.; Prodanovic, M.; Gruber, J. K.; Hayes, B.; Elmegaard, L. |
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Title |
Demand-Aware Price Policy Synthesis and Verification Services for Smart Grids |
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Conference Article |
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Year |
2014 |
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Proceedings of Smart Grid Communications (SmartGridComm), 2014 IEEE International Conference On |
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Call Number |
Sapienza @ melatti @ |
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121 |
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Author |
Mari, Federico; Melatti, Igor; Salvo, Ivano; Tronci, Enrico |
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Title |
Control Software Visualization |
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Conference Article |
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Year |
2012 |
Publication |
Proceedings of INFOCOMP 2012, The Second International Conference on Advanced Communications and Computation |
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15-20 |
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ThinkMind |
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978-1-61208-226-4 |
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Call Number |
Sapienza @ mari @ infocomp2012 |
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100 |
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Author |
Mancini, T.; Mari, F.; Massini, A.; Melatti, I.; Salvo, I.; Sinisi, S.; Tronci, E.; Ehrig, R.; Röblitz, S.; Leeners, B. |
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Title |
Computing Personalised Treatments through In Silico Clinical Trials. A Case Study on Downregulation in Assisted Reproduction |
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Conference Article |
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Year |
2018 |
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25th RCRA International Workshop on “Experimental Evaluation of Algorithms for Solving Problems with Combinatorial Explosion” (RCRA 2018) |
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MCLab @ davi @ |
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175 |
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Author |
Toni Mancini; Enrico Tronci; Ivano Salvo; Federico Mari; Annalisa Massini; Igor Melatti |
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Title |
Computing Biological Model Parameters by Parallel Statistical Model Checking |
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Journal Article |
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Year |
2015 |
Publication |
International Work Conference on Bioinformatics and Biomedical Engineering (IWBBIO 2015) |
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9044 |
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542-554 |
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MCLab @ davi @ |
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