In a recent pair of contributions [2, 3], starting from a set of results about the relationship between the direct sum decomposition of (linear, time-invariant, differential) behaviors and the solvability of certain two-sided Bézout equations, it was shown that every autonomous behavior can be expressed as a direct sum of irreducible components. In this contribution, we further explore this iss...

When the processing times of jobs are controllable, selected processing times affect both themanufacturing cost and the scheduling performance.Awell-known example for such a case that this paper specifically deals with is the turning operation on a CNCmachine. Manufacturing cost of a turning operation is a nonlinear convex function of its processing time. We also know that scheduling decisions ...

In scheduling with controllable processing times the actual processing time of each job is to be chosen from the interval between the smallest (compressed or fully crashed) value and the largest (decompressed or uncrashed) value. In the problems under consideration, the jobs are processed on a single machine and the quality of a schedule is measured by two functions: the maximum cost (that depe...

Molecular motors have inspired many avenues of research for nanotechnology but most molecular motors studied so far allow only unidirectional movement. The archaeal RNA-exosome is a reversible motor that can either polymerize or degrade an RNA strand, depending on the chemical environments. We developed a single molecule fluorescence assay to analyze the real time locomotion of this nanomachine...

This work is concerned with the analysis and the design of robust minimum-time control laws for nonlinear discrete-time systems with possibly non robustly controllable target sets. We will show that, given a Lipschitz nonlinear transition map with bounded control inputs, the reachability properties of the target set can be used to assess the existence of a robust positively controllable set whi...

An excavator is a typical hydraulic heavy-duty human-operated machine used in general versatile construction operations, such as digging, ground levelling, carrying loads, dumping loads, and straight traction. However, there are many tasks, such as hazard environment (nuclear decomposition, earthquake, etc) which is not suitable human working on site. The remotely controllable excavators are re...

This paper presents a sensor fault detection and diagnosis approach for industrial combustion processes. Clustering algorithms are applied to the measurements of controllable process variables involved in single-input-single-output feedback control loops. Current data points from the process are compared with the clusters to identify sensor faults. Once the measurements of controllable process ...

Model building is a fragile and complex process especially in the context of real cases. Each real case problem has its own characteristics with new concepts and conditions. A correct model should have some essential characteristics such as: being compatible with real conditions, being of sufficient accuracy, being logically traceable and etc. This paper discusses how to build an efficient mode...

Partition-Matrix Theory and Generalized-Inverses are interesting topics explored in linear algebra and matrix computation. Partition-Matrix Theory is associated with the problem of properly partitioning a matrix into block matrices (i.e. an array of matrices), and is a matrix computation tool widely employed in several scientific-technological application areas. For instance, blockwise Toeplitz...