This paper introduces the framework of synchronous constrained uid systems (SCFS) to model queueing networks driven synchronously by general uid virtual departure processes, and explores structural properties of queueing networks that t this model. The synchronous timing mechanism used in this paper allows us to model sources and servers with time-varying capacity as in communication systems wi...

The equations of motion for a mechanical system with nonholonomic velocity constraints are derived using the assumption that the generalized force vector must at each instant annihilate the space of all possible virtual displacements. We show how this assumption is in fact a consequence of more elementary axioms, such as Newton's second law (F = ma) for each particle of the system, or the equat...

We study special systems with infinitely many degrees of freedom with regard to dynamical evolution and fulfillment of constraint conditions. Attention is focused on establishing a meaningful functional framework, and for that purpose, coherent states and reproducing kernel techniques are heavily exploited. Several examples are given.

Over-constrained systems are unsolvable by traditional methods with respect to the existing contradictory constraints in a problem definition. Solutions of such systems are defined and computed by giving some preferences or weights to the individual constraints and minimizing the violations of constraints using these preferences. The complexity and size of solved problem is often very large and...