Our aim was to fully develop (i.e. specify, program and verify) a controller for the production cell simulator. We have specified and programmed the controller in Lustre, which is a declarative language for programming synchronous reactive systems. For verification we have used a symbolic model checker, called Lesar, which allows to automatically verify those Lustre programs which use only bool...

Link streams model interactions over time, and a clique in a link stream is defined as a set of nodes and a time interval such that all pairs of nodes in this set interact permanently during this time interval. This notion was introduced recently in the case where interactions are instantaneous. We generalize it to the case of interactions with durations and show that the instantaneous case act...

Linear irreversible thermodynamics asserts that the instantaneous local spontaneous entropy production is always nonnegative. However for a viscoelastic uid this is not always the case. Given the fundamental status of the Second Law, this presents a problem. We provide a new derivation of the Second Law, from rst principles, which is valid for the appropriately time averaged entropy production ...

The work deals with different kind of voltages, currents and charges, and the used nomenclature is defined here. Voltages, currents, and charges are divided into three groups: DC, AC and instantaneous. DC signals are termed with capital letters without the time-dependence indication “(t)”, e.g. VDS . AC signals are termed with lower case letters and with the time-dependence indication e.g. vds(...

In this paper, we propose a method –based on the discrete evolutionary transform (DET)– to estimate the instantaneous frequency of a signal embedded in noise or noise-like signals. The DET provides a representation for non-stationary signals and a time-frequency kernel that permit us to obtain the time-dependent spectrum of the signal. We will show the instantaneous phase and the corresponding ...

This paper investigates the stochastic, continuous and instantaneous (hybrid) modelling of systems defined in BioPEPA, a quantitative process algebra for biological modelling. This is achieved by mapping a Bio-PEPA model to a model in stochastic HYPE, a process algebra that models these three behaviour types in a compositional and structured manner. The novel mapping between process algebras pr...