A geometric approach for systems represented by a singular 2D Fornasini-Marchesini model is developed by introducing suitable notions of invariant subspace and controlled invariant subspace of the state space. The first notion is shown to be usefull in characterizing the set of compatible boundary conditions and in studying the existence and uniqueness of solutions to the state space equation o...

Accurate control of quantum evolution is an essential requirement for quantum state engineering, laser chemistry, quantum information and quantum computing. Conditions of controllability for systems with a finite number of energy levels have been extensively studied. By contrast, results for controllability in infinite dimensions have been mostly negative, stating that full control cannot be ac...

We discuss BSDE with drivers containing nonlinearities of the type p(y)|z| and p(y)|z| with p a polynomial of any degree. Su cient conditions are given for existence and uniqueness of solutions as well as comparison results. We then connect the results to the Markovian FBSDE setting, discussing applications in the theory of PDE perturbation and stating a result concerning a large deviations pri...

The abstract boundary has, in recent years, proved a general and flexible way to define the singularities of space-time. In this approach an essential singularity is a nonregular boundary point of an embedding which is accessible by a chosen family of curves within finite parameter distance. Ashley and Scott proved the first theorem relating essential singularities in strongly causal space-time...

Introduction A Chemical reaction is a process that results in the conversion of chemical substances. The substance or substances initially involved in a chemical reaction are called reactants. These reactants are characterized by a chemical change and they yield one or more products. These products are generally different from the original reactants. Chemical reactions may be of different natur...