Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
Solving ordinary differential equations I (2nd revised. ed.): nonstiff problems
SIAM Journal on Scientific Computing
Solving ODEs with MATLAB
Translating discrete-time simulink to lustre
ACM Transactions on Embedded Computing Systems (TECS)
Zonotope/Hyperplane Intersection for Hybrid Systems Reachability Analysis
HSCC '08 Proceedings of the 11th international workshop on Hybrid Systems: Computation and Control
Symbolic analysis for improving simulation coverage of Simulink/Stateflow models
EMSOFT '08 Proceedings of the 8th ACM international conference on Embedded software
Abstract Simulation: A Static Analysis of Simulink Models
ICESS '09 Proceedings of the 2009 International Conference on Embedded Software and Systems
Generating and Analyzing Symbolic Traces of Simulink/Stateflow Models
CAV '09 Proceedings of the 21st International Conference on Computer Aided Verification
Semantic Translation of Simulink/Stateflow Models to Hybrid Automata Using Graph Transformations
Electronic Notes in Theoretical Computer Science (ENTCS)
Integrating physical systems in the static analysis of embedded control software
APLAS'05 Proceedings of the Third Asian conference on Programming Languages and Systems
Operational semantics of hybrid systems
HSCC'05 Proceedings of the 8th international conference on Hybrid Systems: computation and control
Hyperstream processing systems: nonstandard modeling of continuous-time signals
POPL '13 Proceedings of the 40th annual ACM SIGPLAN-SIGACT symposium on Principles of programming languages
Teaching cyber-physical systems: a programming approach
Proceedings of the Workshop on Embedded and Cyber-Physical Systems Education
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The industrial tool Matlab/Simulink is widely used in the design of embedded systems. The main feature of this tool is its ability to model in a common formalism the software and its physical environment. This makes it very useful for validating the design of embedded software using numerical simulation. However, the formal verification of such models is still problematic as Simulink is a programming language for which no formal semantics exists. In this article, we present an operational semantics of a representative subset of Simulink which includes both continuous-time and discrete-time blocks. We believe that this work gives a better understanding of Simulink and it defines the foundations of a general framework to apply formal methods on Simulink's high level descriptions of embedded systems.