Abstract Integral observers are useful tools for estimating the plant states in the presence of non-vanishing disturbances resulting from plant-model mismatch and exogenous disturbances. It is well known that these observers can eliminate bias in all states, given that as many independent measurements are available as there are independent sources of disturbance. In the most general case, the d...

The concept of pulled fronts with a cutoff epsilon has been introduced to model the effects of the discrete nature of the constituent particles on the asymptotic front speed in models with continuum variables (pulled fronts are the fronts that propagate into an unstable state, and have an asymptotic front speed equal to the linear spreading speed v* of small linear perturbations around the unst...

We develop a model for broadcasting data to wireless appliances. Any data item may either be “pushed”, or broadcast without waiting for requests for the item, or it may be “pulled”, or broadcast in response to a request. Pushing items is cheaper than handling the individual requests, but if pushed items are not wanted, the bandwidth for broadcasting them is wasted. We determine the optimal allo...

Short Abstract: Traveling waves describe diverse natural phenomena from crystal growth in physics to range expansions in biology. Two classes of waves exist with very different properties: pulled and pushed. Pulled waves are noisy because they are driven by high growth rates at the expansion edge, where the number of organisms is small. In contrast, fluctuations are suppressed in pushed waves b...