The aim of this session is to offer an overview on recent results concerning the asymptotic behaviour of solutions of stochastic and deterministic partial and ordinary differential equations. Some of the main topics, but not the only ones, in this sessions are: asymptotic dynamics of dynamical systems, in particular, existence and properties of attractors for autonomous, non-autonomous and stoc...

We derive the stochastic master equations which describe the evolution of open quantum systems in contact with a heat bath and undergoing indirect measurements. These equations are obtained as a limit of a quantum repeated measurement model where we consider a small system in contact with an infinite chain at positive temperature. At zero temperature it is well-known that one obtains stochastic...

A method based on the Genetic Algorithm (GA) was developed to study the phase behavior of multicomponent and multiphase systems. Upon application of the GA to the thermodynamic models which are commonly used to study the VLE, VLLE and LLE phase equilibria, the physically meaningful values for the Binary Interaction Parameters (BIP) of the models were obtained. Using the method proposed in t...

In this paper, we propose a global optimal fuzzy tracking controller, implemented by fuzzily blending the individual local fuzzy tracking laws, for continuous and discrete-time fuzzy systems with the aim of solving, respectively, the continuous and discrete-time quadratic tracking problems with moving or model-following targets under finite or infinite horizon (time). The differential or recurs...

The polychronous (synchronous, multiclocked) language Signal is used for the design and analysis of reactive systems. For the purpose of modeling eventdriven systems, we consider an extension of the polychronousmodel of computation of Signal with periodic equations denoted by ultimately periodic infinite words. These equations express periodic constraints on the signals of programs, that can be...